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Uk Gce A Level Math PDF
EdExcEl: ThE UK's nUMbEr onE choicE for MaThEMaTics As the UK's awarding organisation of choice for mathematics, Edexcel offers ... interest in mathematics to the GCEAlevel course. Furthermore, our teachers find the teacher support offered through seminars by Edexcel
Understanding AS/Alevel and Applied GCE This document shows the grade boundaries for modular GCE AS and A levels and ... or for our BTEC qualifications. Pearson: helping people progress, everywhere
GCElevel (AS/A2) Our GCE classes will be in small groups of 2-4 students. Remarks ... School in the UK where he obtained 4 As in GCEA-LevelMath, Further Math, Physics and Chemistry. He is experienced in teaching IGCSE, GCE & IB Math and
Through a network of UK and overseas offices, Edexcel's centres receive the support they need to help them deliver their education and training programmes to learners. ... EDEXCEL GCE MATHEMATICS General Instructions for Marking 1.
through the Oxford Open Learning website ( Mathematics 'A' level General Introduction 3 General Information ... At this level of mathematics, there is rarely just one "right" method for solving a problem, however.
The United Kingdom's international organisation for educational opportunities and cultural relations. We are registered in England as a charity. Entry requirements and procedures • You need to submit the following . 1. ... GCE AS & ALEVEL January 2010
... GCE O Level (Paperback) By R. Glover The Cambridge English Revision Guide: ... Amazon.co.uk: Cambridge International Examinations ... ENGLISH ... General Certificate of Education Syllabus Ordinary ... the. BGCSE will have the same global recognition as the Cambridge examination it replaces ...
... (General Certificate of Education) O' Level is aUK standard qualification followed by A ... GCE O' Level is considered equivalent to Secondary School ... 5 subjects including Math, and 3 electives. To qualify for Science Group it is necessary to pass Physics, Chemistry, Mathematics ...
West Indies accepts 2 GCEALevel for matriculation for the three year Bachelor's Degree. Travel and Tourism ... The UKLevel 5 Higher National Diploma, ... The Colbourne Entrance Examination is a formative assessment in English and Basic Math designed to track evidence of the key thinking
International Examinationsin UK, ... It is equivalent in standard to the British GCSE and International GCE O Level examinations. IGCSE courses usually take two years to complete(G9 and G10) ... 8 IG subjects plus 1 ALevel Subject in Math OR 1 AS in Math AND 1 AS in Chemistry, Physics or ...
... Calculators in GCE Maths (MEI) This FAQs sheet is about which calculators may be used in ... calculator in lessons and in the exam please see the papers on the MEI website here. Which calculators are allowed in Alevel Maths exams? ... ...
Statistics, GCE Mathematics and Entry Level examinations, we will be running a series of feedback and support meetings in the autumn and spring terms. You can find further details on these events in our training directory or by
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Customer Reviews for McGraw-Hill Key To Geometry, Book #5
Whether you're looking for preparation for geometry, a remedial course or a basic refresher, Key to Geometry is a non-threatening way to gain a working, practical knowledge of the subject. Students begin by drawing lines and bisecting angles, eventually working their way to sophisticated constructions involving over a dozen steps. When the course has been completed, students will have been introduced to 134 geometric terms and will be ready to geometric proofs. 55 pages, paperback.
Workbook 5 covers squares and rectangles, moving from straight lines to using a compass and congruent lines Key To Geometry, Book #5
Review 1 for Key To Geometry, Book #5
Overall Rating:
5out of5
Great way to become proficient using a compass.
Date:January 17, 2012
Bonnie
Location:Gaithersburg, MD
Age:45-54
Gender:female
Quality:
5out of5
Value:
5out of5
Meets Expectations:
5out of5
We have defaulted to this program for a non-science track student and it is very encouraging. As a home-school mom, I too am becoming extremely proficient using a compass and straight edge for proofs. An excellent alternative to more of the heady studies available.
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a strong emphasis on skill-building, applications in the real world, and preparation for further math courses, this text unites the concepts of Elementary Algebra and Intermediate Algebra in one convenient and economical volume.
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Linear Programming
Linear Programming
Linear programming is a mathematical method for determining a way to achieve
the best outcome (such as maximum profit or lowest cost) in a given
mathematical model for some list of requirements represented as linear
relationships. Linear programming is a specific case of mathematical programming
(mathematical optimization).
More formally, linear programming is a technique for the optimization of a linear
objective function, subject to linear equality and linear inequality constraints.
Its feasible region is a convex polyhedron, which is a set defined as the
intersection of finitely many half spaces, each of which is defined by a linear
inequality.
Its objective function is a real-valued affine function defined on this polyhedron. A
linear programming algorithm finds a point in the polyhedron where this function
has the smallest (or largest) value if such point exists. Linear programs are
problems that can be expressed in canonical form:
Know More About :- How To Do Pre Algebra
Tutorcircle.com Page No. : 1/4
where x represents the vector of variables (to be determined), c and b are vectors
of (known) coefficients, A is a (known) matrix of coefficients, and is the matrix
transpose. The expression to be maximized or minimized is called the objective
function (cTx in this case).
The inequalities Ax ≤ b are the constraints which specify a convex polytope over
which the objective function is to be optimized. In this context, two vectors are
comparable when they have the same dimensions.
If every entry in the first is less-than or equal-to the corresponding entry in the
second then we can say the first vector is less-than or equal-to the second vector.
Linear programming can be applied to various fields of study. It is used in business
and economics, but can also be utilized for some engineering problems. Industries
that use linear programming models include transportation, energy,
telecommunications, and manufacturing. It has proved useful in modeling diverse
types of problems in planning, routing, scheduling, assignment, and design.
Uses :- Linear programming is a considerable field of optimization for several
reasons. Many practical problems in operations research can be expressed as
linear programming problems. Certain special cases of linear programming, such
as network flow problems and multicommodity flow problems are considered
important enough to have generated much research on specialized algorithms for
their solution.
A number of algorithms for other types of optimization problems work by solving
LP problems as sub-problems. Historically, ideas from linear programming have
inspired many of the central concepts of optimization theory, such as duality,
decomposition, and the importance of convexity and its generalizations.
Learn More :- Free Algebra Word Problems
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Likewise, linear programming is heavily used in microeconomics and company
management, such as planning, production, transportation, technology and other
issues. Although the modern management issues are ever-changing, most
companies would like to maximize profits or minimize costs with limited resources.
Therefore, many issues can be characterized as linear programming problems.
Firstly we will find out the satisfiable values of 'x' and 'y' for each equation and
create a graph which involves all three equations as part of it. These three
equations form a common region or may be uncommon region which satisfies the
cost for a set of inequalities.
This region if it is common then optimized maximum profit is and if regions are not
common then the cost found will be minimum. Consider the following graph, in
this way we have a set of two inequalities say: x + y < 2 and x = 2. One is an
inequality and other one is an equation. The region thus obtained considering
these two lines and cost is as follows:
Tutorcircle.com Page No. : 3/4
Page No. : 2/3
Thank You For Watching
Present
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Free Online Resource For Math, History And More
Related Tags:
You would not bring a hippo to campus with you, but the website, Hippocampus, brings home information on subjects taught in high school and college that might help you earn an A in class.
The entire site is free, and offers electronic material in math, such as algebra and calculus, that goes through course material concept by concept. Other areas, such as history, feature short videos, key documents, and background information to help you understand your classes better. It even features several courses entirely in Spanish, for students and parents who prefer to read it in that language.
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Book Description: Linear, simultaneous algebraic equations, ordinary differential equations, partial differential equations; and difference equations are the four most common types of equations encountered in engineering. This book provides methods for solving general equations of all four types and draws examples from the major branches of engineering. Problems illustrating electric circuit theory, linear systems, electromagnetic field theory, mechanics, bending of beams, buckling of columns, twisting of shafts, vibration, fluid flow, heat transfer, and mass transfer are included. Essential Engineering Equations is an excellent book for engineering students and professional engineers
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This lesson from Illuminations uses the real world example of hanging chains to demonstrate how naturally occurring shapes relate to parabolic functions. Students will learn to substitute points on a graph into a...
This algebra lesson from Illuminations involves using linear equations and graphs in a real world context. Students will graph a line based on data points, find the equation of the line, identify y-intercept and slope,...
This algebra lesson from Illuminations has students collect data about the national debt, and then plot that data by decade. They will then determine whether an exponential curve is a good fit for the data. The...
This intermediate algebra lesson has students use data from the U.S. Census Bureau's website to explore population growth and exponential functions. The learning object demonstrates how these mathematical functions can...
This algebra lesson helps students connect how logarithms work to the real world example of financing a car. Students will use a formula to calculate the number of months it will take them to pay off a car loan based on...
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Think Through Math - Idaho Math Initiative Resource
Think Through Math (TTM) is an online, supplemental math instruction and tutoring
program that will help raise student achievement in Idaho by providing students
with focused instruction, rigorous math problems, access to live certified teachers
and a motivation program with rewards for working on math problems. Think Through
Math works with the classroom teacher to tailor the online math instruction to the
needs of the individual student. Students can access the program anywhere they get
Internet access - whether at home, at school or in a library. Currently, schools
in more than 25 states across the country are using Think Through Math as a supplement
to instruction and noticing increased student achievement. Please visit
to learn more about Think Through Math.
The Think Through Math (TTM) computer-assisted program is now available to utilize as curriculum for Algebra 1 credit recovery and district approved Alternate Route for Graduation. The Think Through Math curriculum option can be used to facilitate the instruction of the required core math content, by an Idaho certified, highly qualified teacher of record. The programs are simple to implement and monitor, and students will go through a rigorous set of coursework. The credit recovery pathway will give students a solid foundation in Algebra 1 and will prepare them for success in Geometry and future math courses. The Alternate Route for Graduation pathway will give students a solid foundation in math skills aligned to the 10th grade ISAT blueprint.
TTM's Algebra 1 credit recovery program initially enrolls students into a pathway of 62 "Target Lessons". The Alternate Route to Graduation program enrolls student into a pathway of 69 "Target Lessons". The pathways were constructed in conjunction with the Idaho SDE. All lessons for the credit recover program are aligned to the Common Core Standards Algebra 1 course and the Idaho Algebra 1 standards. The Alternate Route for Graduation lessons are aligned to the 10th grade ISAT blueprint. When the Smarter Balanced Assessment blueprint has been finalized, TTM will begin working on aligning the pathway to the new assessment blueprint; to be available when Idaho moves to the new assessment.
For both programs, students begin by taking a brief placement test which will determine a student's readiness. Based on these results, additional pre-cursor lessons will be added into each student's pathway. Additionally, TTM monitors student progress and adds additional pre-cursors as needed to fill students' learning gaps. When students are working outside of the classroom, they can get assistance from TTM's live certified teachers.
As with all coursework, the teacher is a key component in a student's success. The benefit of Think Through Math is that multiple students can be working toward recovering credit on a very individualized basis. An appropriately certified and qualified teacher, however, is necessary to ensure that students have the support to grasp the concepts being presented. As students work through their pathway, reports on student progress are available through the teacher portal. These easy-to-use reports show how much progress students are making toward completing the Target and pre-cursor lessons on their pathway.
The Think Through Math program does not qualify as a stand-alone course such as those offered through IDLA. Any computer-based program must be supervised by a properly certified and qualified "teacher of record" who must actually be present in the classroom throughout the sessions. If Think Through Math is used for math credit recovery or alternate route for graduation, a math assignment code should be used when reporting in ISEE and the teacher of record facilitating the program must hold a math endorsement and be highly qualified in order to grant graduation credit.
Please see documents below for in-depth information on both programs, including tools for monitoring student progress and grading. Also attached are documents on standard alignment.
For Idaho Education Laws and Rules on High School Credit Requirements for Mathematics, please see Idaho Administrative Code 08.03.02.105.01.d. This code can be accessed online at
Please be aware that a credit recovery course must meet the appropriate content standards of the original course.
For Idaho Education Laws and Rules on Alternate Route for Graduation, please see Idaho Administrative Code 08.03.02.105.06, at
Please be aware that alternate routes to graduation are locally established and must go before the local school board for approval. Once approved at the local level, the alternate route for graduation must be sent to the Idaho Board of Education for review. A copy of each districts' alternate plan is kept on file at the Office of the State Board of Education. For more information on the steps to establish a local alternate route for graduation, please contact Allison McClintick with the Idaho Board of Education,
[email protected].
To utilize Think Through Math in either capacity communicated in this email, please contact Marisa Alan, TTM Regional Program Manager, at
[email protected].
Students of Sacajawea Junior High School in Lewiston won a nationwide math contest sponsored by Think Through Math, an award-winning provider of online supplemental math instruction. The Idaho State Department of Education provides Think Through Math to all public school students through the Idaho Math Initiative.
On Wednesday, May 15, representatives from Think Through Math will visit Sacajawea Junior High for a special event to award the students with the Think Through March "MATH" Madness trophy, banner and awards.
One hundred-ninety five students from 7th, 8th and 9th grade math classes worked on Think Through Math in class and at home to earn the highest student average of completed lessons and total problems solved, beating out 27,565 schools from across the nation.
Principal of Sacajawea Junior High, Mr. Uhlorn said, "We are proud of the work the staff and students at Sacajawea Junior High did during this competition. Many of our 195 team members worked daily to improve their math skills using TTM. We have used this program for the past three years as a great way to have students fill in gaps of mathematical concepts with the flexibility of individual pathways. Being part of the competition was an added bonus. The kids were so excited to hear how we progressed throughout the competition and made it their goal to keep working hard".
During the contest, Sacajawea Junior High students spent 1,121 hours on Think Through Math completing 72,650 complex math problems. The junior high students completed 6,287 math lessons during the qualification and elimination rounds and logged 84 hours outside of the traditional school day.
Think Through Math - New Enhancements for SY 2013-14
Think Through Math has been hard at work this summer making improvements to the program to ensure the absolute best experience for your students. These enhancements include:
Redesigned student and teacher dashboards that put critical information right at your fingertips
K-2 precursor lessons to provide full remediation for 3rd graders
The addition of new lessons and fill in the blank answers to provide rigor and variety
Auto-logout feature to enhance time on system reporting
New and updated reports for teachers to ensure you get the information you need to guide math instruction
Updated learning coaches and enhanced live teaching tool to ensure your students get the help they need when they need it
A messaging system where teachers can send a star or a personal note to each of their TTM students
TRAINING
TTM training and ongoing support is available free of charge and can be provided via webinar or onsite at the district or school level. We highly recommend that all teachers that plan to use TTM attend one of our trainings-
Utilizing TTM Effectively to Support the Idaho Core Standards.
Please contact your regional program manager to set up district training opportunities.
Informational Fliers
TTM Technical Check
To determine if your computer is compatible with TTM's technical specifications, sign
into your teacher account and click on the username in the upper right hand corner.
You will see a drop down menu where "Tech Check" is an option. Click on "Tech Check"
and an automatic check will run. For full TTM technical requirements, please refer
to the PDF document below. If you are having further difficulties, please contact
your school or district IT support staff.
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Algebra
TOPIC DESCRIPTION:
Algebra is the branch of mathematics concerned with using known information -- expressed as mathematical equations or similar relations -- and using it to generate new relations or solve for values of unknowns. The umbrella term "algebra" includes more elementary concepts such as the use of variables, function graphing, and graphing as well as set theory and more advanced "abstract algebraic" concepts.
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Calculator Tutorials
You do not need to go to the AfA Social Network to access these
activities. Students and teachers can access these resources
directly by going straight to the urls provided. Simply copy and
paste the links given below and provide those links to your
students. Click here for more detailed instructions.
TI-84 Tutorials
Tutorials for the TI-84 calculator are provided below. Each
tutorial is included as a video, many being interactive, in which
you must click on the appropriate buttons on the calculator to
continue.
To view the calculator tutorials click on the web address below.
Use this address to provide access to students.Note that you can
use this address to access the calculator tutorials directly
without entering the AfA Social Network:
In the spring of 2010 a new operating system was released for
the TI-84. This operating system is a major upgrade with many
useful features added. You can view an overview of the features of
the new OS in the video below. Links are provided with instructions
on how to upgrade your OS as well
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Teaching High School Mathematics; First Course; Basic Principles for Real Numbers Part 3
Description:
Max Beberman leads students on an investigation to find and prove various mathematical principles, including the Communitive Principle for Multiplication of Real Numbers, the Associative Property for Addition of Real Numbers, the Communitive Principles for Addition of Real Numbers, and the Principle for Adding the Real Number Zero. The students learn to check their findings and develop a working acquaintance with all of the principles. They also begin to use letters as variables to indicate patterns and to generate terms and sentences. In addition, Beberman introduces the pupils to using letters as indices to modify a sentence to indicate generalizations, which is discussed in future films. Black and white picture with sound. Eastman Kodak edge code reads "square triangle," which correlates to 1965.
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This site has has interactive explanations and simulations of math from alegrbra to trigonometry. Just click the...
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This site has has interactive explanations and simulations of math from alegrbra to trigonometry. Just click the "interactive" tab on the top left menu and you can choose different simulations. It includes, the complete definition of parabolas, reaching beyond the ability to graph into the realm of why the graph appears as it does. It also has vivid descriptions of angles including circle angles for geometry. It also has calculators for principal nth roots, gdc, matrices, and prime factorization. It's definitely worth checking out. Quote from site: "A parabola is actually a locus of a point and a line. The point is called the focus and the line the directrix. That means that all points on a parabola are equidistant from the focus and the directrix. To change the equation and the graph of the interactive parabola below just click and drag either the point A, which is the focus, or point B, which controls the directrix." This is an interactive site that allows people to change the graph to understand why directrix and focus dictate parabolic graphs.
These online notes are intended for students who are working through the textbook Abstract Algebra by Beachy and Blair. The...
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These online notes are intended for students who are working through the textbook Abstract Algebra by Beachy and Blair. The notes are focused on solved problems, and will help students learn how to do proofs as well as computations. There are also some "lab" questions on groups, based on a Java applet Groups15 written by John Wavrik of UCSD.
This site contains a Java applet that provides information about groups of order 1-15. The user selects an order of a group...
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This site contains a Java applet that provides information about groups of order 1-15. The user selects an order of a group between 1 and 15 and then a model group is generated using letters as elements. Using buttons of the applet one can illustrate different algebraic properties of this group.
This site contains six research projects that investigate topics in geometry and number theory. Each provides the...
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This site contains six research projects that investigate topics in geometry and number theory. Each provides the objectives, prerequisites, a summary, the project itself, and reference. The nontrivial and open-ended projects are designed to inspire students to make conjectures and research mathematics. The emphasis of each project is on obtaining results. Proofs are suggested and provided in the solutions, but students are not expected to be able to prove all the results obtained.
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This subsite of Mathematics Tutorials and Problems (with applets) is divided into Interactive Tutorials, Calculus Problems,...
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This subsite of Mathematics Tutorials and Problems (with applets) is divided into Interactive Tutorials, Calculus Problems, and Calculus Questions, Answers and Solutions. Here the user will find applets with guided exercises and many examples and worked out problems applicable to the first year of Calculus.
Quoted from the site: [This site contains...] "Free mathematics tutorials to help you explore and gain deep understanding of...
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Quoted from the site: [This site contains...] "Free mathematics tutorials to help you explore and gain deep understanding of math topics." The math topics covered include 1) Precalculus Tutorials 2) Calculus Tutorials and Problems 3) Geometry Tutorials and Problems 3) Trigonometry Tutorials and Problems for Self Tests 4) Elementary statistics and probability tutorials 5) Applications of mathematics in physics and engineering. And much more, including many applets.
The sculptures by Brent Collins was an eye catch with the different shapes, this was the first that I have see of this type...
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The sculptures by Brent Collins was an eye catch with the different shapes, this was the first that I have see of this type of math. I also like the utility curve for mathematics - Bit-Player by Brian Hayes – the curve for life. It's like the title of our booklet "MATH IS EVERYWHERE".
This site offers assistance for all types of math from basic math through calculus. There are text and video lessons as well...
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This site offers assistance for all types of math from basic math through calculus. There are text and video lessons as well as practice tests. These tutorials are based on a large variety of textbooks available from middle school through post-secondary
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general survey of mathematical topics helps a diverse audience, with different backgrounds and career plans, to understand mathematics. Blitzer provides the applications and technology readers need to gain an appreciation of mathematics in everyday life. Demonstrates how mathematics can be applied to readersrs" lives in interesting, enjoyable, and meaningful ways. Features abundant, step-by-step, annotated Examplesthat provide a problem-solving approach to reach the solution; annotations are conversational in tone, explaining key steps and ideas as the problem is solved. Begins each section with a compelling vignette highlighting an everyday scenario, posing a question about it, and exploring how the chapter section subject can be applied to answer the question. A highly readable reference for anyone who needs to brush up their mathematics skills.
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Calculus
Course Outline and Objectives
Unit One: Prerequisites
A brief Review of:
A. The set of Real Numbers, inequalities, absolute value and its properties.
B. The distance and midpoint formulas,
C. Graphing circles.
D. Graphing equations with and without a graphics calculator, locating x and y-intercepts, identifying
the symmetries associated with a given equation, locating the points of intersection of two equation
by algebra and with the use of the graphics calculator.
E. Finding the equation of a line given:
1. A point and a slope.
2. Two points.
3. That is parallel or perpendicular to a given line that passes through a given point.
F. Functions
1. Find the domain and range of a given function.
2. Evaluate and create composite functions.
3. Determine whether a given function is odd, even, or neither.
G. Trig functions
1. Graphing trig functions using a graphics calculator.
2. Work with conversions from degrees to radians and radians to degrees and with problems
that involve arc length.
3. Solve trig equations and work with trig identities.
4. Evaluate trig functions.
Unit Two: A Detailed Study of Limits & Their Properties
A. Formal definition of limit
1. Exploring limits that exist vs. limits that do not exist
B. A detailed study of the limit properties
1. Scalar multiplication property
2. Sum and difference properties
3. Product and quotient properties
4. Power property
C. Exploring techniques for evaluating limits
1. Making tables of values using the graphics calculator
2. Simplifying using algebra and rationalization skills
D. Exploring one-sided limits
1. A study of the greatest integer function, the absolute value function, and rational
functions.
E. Infinite limits
1. A study of continuity on an open interval
2. A study of removable and non-removable points of discontinuity.
3. A study of vertical asymptotes.
F. Demonstrate the use of the Intermediate Value Theorem.
Unit Three: A Detailed Study of Differentiation
A. Using the limit definition to find the slope of a tangent line to a curve at a specific point on the
curve, and then use this slope to find the equation of the tangent line.
B. Determine whether a function is differentiable at a given point by checking for:
1. Continuity at the given point.
2. A vertical tangent line at the given point
3. A sharp cusp in the graph.
C. Learn to use the following rules to differentiate given functions.
1. The derivative of a constant is zero.
2. The Power Rule
3. The sum and difference rules.
4. The product rule.
1
5. The quotient rule.
6. The Chain Rule.
D. Learn how to differentiate expressions that contain trig functions.
E. Use implicit differentiation to calculate derivatives.
1. Apply knowledge of implicit differentiation to solving rate of change problems.
F. Apply differentiation rules to taking higher order derivatives.
G. Solving problems using know of derivatives.
1. Velocity and acceleration problems.
2. Rate of change problems.
3. Projectile motion problems
Unit Four: Applications of Derivatives
A. Finding the extrema of a function
1. Locate all critical values on a closed interval.
a. Interval endpoints
b. Where f (x) = 0 or where f (x) is undefined.
2. Evaluate the critical values to identity the extrema (maximum and minimum) on a open
or closed interval.
B. Explore the use of Rolles Theorem and the Mean Value Theorem.
C. Explore the use of the first derivative test.
1. To identify pause points and use a line test to determine if the point is a local maximum
or minimum points.
2. To determine whether a function is increasing or decreasing in a given interval.
D. Explore the concavity using the second derivative test.
E. Using knowledge gained from the first and second derivative tests to sketch accurate graphs of
functions.
F. Continued study of limits that approach infinity to identify vertical and horizontal asymptotes to aid
in graphing functions.
G. Introduction to the study of differential equations.
H. A detailed study of optimization problems.
I. An introduction to the study of business and economic applications that involve the use of
derivatives.
Unit Five: Detailed Study of Integration
A. Introduction to various notations used to denote antiderivatives, the rules that apply to taking
antiderivatives, introduction to indefinite integrals, and to finding a particular solution to an
indefinite integral.
B. Introduction to sigma notation and its use to find areas under curves using the limit definition.
C. Introduction to the use of Riemann Sums and their use to evaluating definite integrals.
D. Introduction to the Fundamental Theorem of Calculus and its use to evaluate definite integrals.
E. Evaluating definite integrals using substitution techniques.
Unit Six: A Detailed Study of Logarithmic & Exponential Differentiation and Integration
A. Review of log properties and their use to solve equations.
B. Applying rules for taking derivatives to functions that include ex, ln(x), log(x) and ax.
C. Continued study of implicit differentiation.
D. Introduction to logarithmic differentiation.
E. Applying the rules for integrating define and indefinite integrals to integrating expressions that
include ex, ax, and (1/x).
F. Solving word problems that deal with exponential growth and decay.
Unit Seven: Calculating the Area Between Curves & Finding Volumes of Revolution
A. Calculating the area between a curve and either the x-axis or the y-axis using given parameters for
the variables. Calculating the area between two curves.
B. Calculating the volume of a region that is revolved about the x-axis, the y-axis, or a horizontal or
vertical line using disks, washers, and shells
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Don;t want an expensive calculator with functions you would never use?Do you want to solve your trigonometric problems in a...
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'Don;t want an expensive calculator with functions you would never use?Do you want to solve your trigonometric problems in a faster and more pleasing way?Well then , Designer Trigonometric Calculator is the right thing for you!With al the trigonometric functions in just one application , you'll be solving your problems in no time.!!!Choose the way you like your calculator to be!Calculate Sin , Cos , Tan etc. in degrees or radians as per your wish in this packaged application!'This is a free app
A new curriculum, and then a book based upon that, always seeks evaluation. The book should not only be attractive and...
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A new curriculum, and then a book based upon that, always seeks evaluation. The book should not only be attractive and interesting, but also upto the mark with the age level of students, appropriateness of content, relevance, utility, etc. Every new book should be thoroughly evaluated before it is given a place in list of textbook or suggestive readings or after introducing in a course. An exercise for evaluating a textbook has been presented in the current book. For this purpose, a textbook for class IX Mathematics, introduced in schools, has been selected. The study goes through explaining various aspects of evaluating the book. It makes an effort to see the book through the lenses of teachers as well as students. The book looks forward to place teachers not just as mere followers of the book introduced, but as reflectors, too, upon various aspects of the book.
In this book, the entire study consisted of basically five phases. In the present investigation, the definition of...
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In this book, the entire study consisted of basically five phases. In the present investigation, the definition of standardization has been adopted as given by Roger T. Lennon i.e. here standardization means to determine validity, reliability and norms of the test. The definition is also mentioned in "Measurement in Physical Education" by Donald K. Mathews (1978) The five phases are as follows: Phase I: Planning and preparation of a test set of 50 questions from Trigonometry for class IX. Phase II: Percentage of agreeability or content-cum-face validity with the help of subject experts and field experts. Phase III: Group try out for Item analysis. Phase IV: The final try-out to obtain reliability Phase V: Developing norms for the test. The above design of the study is also supported by Lee J. Cronbach (1984).
'Taking discrete mathematics? Then you need the Wolfram Discrete Mathematics Course Assistant. This app for discrete...
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'Taking discrete mathematics? Then you need the Wolfram Discrete Mathematics Course Assistant. This app for discrete math-- -'This app costs $4.99
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This applet explores Riemann sums including left endpoint, right endpoint, midpoint, inscribed rectangle, circumscribed...
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This applet explores Riemann sums including left endpoint, right endpoint, midpoint, inscribed rectangle, circumscribed rectangle, and trapezoid. The visual representation of the partitions and the corresponding value of the sum are provided.
The "fourth edition" of a free, on-line programming textbook,directed towards people who are new to programming.It is...
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The "fourth edition" of a free, on-line programming textbook,directed towards people who are new to programming.It is available for on-line use and for downloading. Includes160 source code files and 65 solved programming exercises.This version requires Java 1.3 or higher
'Foundations of Computation is a free textbook for a one-semester course in theoretical computer science. It has been used...
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'Foundations of Computation is a free textbook for a one-semester course in theoretical computer science. It has been used for several years in a course at Hobart and William Smith Colleges. The course has no prerequisites other than introductory computer programming. The first half of the course covers material on logic, sets, and functions that would often be taught in a course in discrete mathematics. The second part covers material on automata, formal languages, and grammar that would ordinarily be encountered in an upper level course in theoretical computer science.Version 2.3 (Summer 2010) added a section on pushdown automata; aside from that, there were only minor corrections and changes. The most recent version, 2.3.1 (Summer 2011), is a very minor update, with one new proof and a few corrections.Table of Contents:Chapter 1: Logic and ProofChapter 2: Sets, Functions, and RelationsChapter 3: Regular Expressions and FSA'sChapter 4: GrammarsChapter 5: Turing Machines and Computability'
A pentomio consists of 5 connected squares. There are 12 possible pentominos. The puzzle is to place them on an 8-by-8 board,...
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A pentomio consists of 5 connected squares. There are 12 possible pentominos. The puzzle is to place them on an 8-by-8 board, with 4 designated squares left blank. This applet solves the puzzle (using a recursive backtracking algorithm that runs in its own thread).
The xFunctions applet is designed as an educational tool for exploring several topics in calculus and pre-calculus...
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The xFunctions applet is designed as an educational tool for exploring several topics in calculus and pre-calculus mathematics. In addition to basic graphing, xFunctions can create animated graphs, parametric curves, derivatives, Riemann sums, integral curves, and 3D graphs.
Helps you to learn the basic concepts of hierarchical, geometrical modeling in computer graphics and animations. This applet...
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Helps you to learn the basic concepts of hierarchical, geometrical modeling in computer graphics and animations. This applet takes descriptions of images and animations and displays them in wireframe form.
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College Algebra : Graphs and Models -Text Only - 4th edition
Summary: The approach of this text is more interactive than most precalculus texts and the goal of the author team is to enhance the learning process through the use of technology and to provide as much support and help for students as possible. In Connecting the Concepts, comprehension is streamlined and retention is maximized when the student views a concept in visual, rather than paragraph, form. Zeros, Solutions, and X-Intercepts Theme Carried Throughout helps students vi...show moresualize and connect the following three concepts when they are solving problems: the real zeros of the function, the solutions of the associated equation, and the x-coordinates of the x-intercept of the graph of the function. Each chapter begins with a relevant application highlighting how concepts presented in the chapter can be put to use in the real world. These applications are accompanied by numerical tables, equations, and grapher windows to show students the many different ways in which problems can be examined. End-of-Chapter material includes a summary and review of properties and formulas along with a complete set of review exercises. Review exercises also include synthesis, critical thinking, and writing exercises. The answers to all of the review exercises appear in the back of the text and have text section references to further aid students. For anyone interested in learning algebra
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How do we know that what we know is, in fact, true? And how do we communicate what we know so that others will be convinced that it is true? These questions are central to the idea of mathematical proof and to the motivating force for teaching students of mathematics about proof and how to do proof. The ability to communicate mathematically, more generally, the ability to communicate logically, forcefully and convincingly is an invaluable skill to which all students should be exposed. Mathematics is an excellent vehicle for teaching students this vital skill.
The curriculum unit described in this document is designed to lead students to an understanding of what proof is, why it is important and how to construct good proofs. Essentially it is a unit about argument and communication and in this way crosses curricular lines by promoting skills which are universal and useful in the sciences, social sciences and humanities.
Most would agree that to possess common sense is a good thing. As a science educator, however, I have found that common sense can be inadequate in explaining or in understanding of many topics. This paper will examine instances where common sense can be misleading and an inadequate explanatory tool. Explanations and proofs that go beyond common sense are presented to explain topics. Lessons and instructional strategies that support the explanations are suggested that are suitable for middle school students. Topics covered include freely falling bodies, determining the shape and circumference of the earth, floating and sinking, vacuums, and logic and mathematic problems. In every case, the topic will be thoroughly discussed and analyzed and, hopefully, interested teachers can find useful information for their own classes.
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edshelf
Algebra Genie
Description
Ages of learners
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Subjects
Next-generation interactive textbook, at the fraction of the cost of tutoring or your current paper textbook!
The most complete and interactive Algebra course, developed by over 100 Algebra teachers and used by millions of Algebra students worldwide. The Algebra Genie gets you learning quickly while having fun. Developed using the latest in game mechanics, we have spared no cost to make sure we have the best learning app covering Algebra!
Over 250 interactive and dynamic lessons, covering all the important Algebra topics, to get you into college quickly!
Topics covered:
Algebraic Expressions
Exponents
Linear Relations
The Pythagorean Theorem
Function Basics
Functions
Quadratic Functions
Absolute Function
Square Root Function
Step Functions
Exponentials & Logarithms
Factoring
Systems of Equations
Conics
Stay tuned for our other apps coming to the App Store, such as Geometry and Trigonometry.
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This well-prepared text on category theory is intended for beginners with an elementary knowledge of set theory. The first five chapters are devoted to the fundamentals of category theory up to adjoints and monads. The remaining two chapters deal with more recent research results in the realm of topological and algebraic categories, Cartesian closed categories and quasitopoi. The text prefers a pedagogical style, introducing new concepts first in special cases and then moving to the more general ones. Each categorical notion is always accompanied by many examples from diverse branches.
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and Trigonometry: A Graphing Approach
Part of the market-leading Graphing Approach series by Larson, Hostetler, and Edwards, Algebra and Trigonometry: A Graphing Approach, 5/e, is an ...Show synopsisPart of the market-leading Graphing Approach series by Larson, Hostetler, and Edwards, Algebra and Trigonometry: A Graphing Approach, 5/e, is an ideal student and instructor resource for courses that require the use of a graphing calculator. The quality and quantity of the exercises, combined with interesting applications and innovative resources, make teaching easier and help students succeed. Continuing the series' emphasis on student support, the Fifth Edition introduces Prerequisite Skills Review. For selected examples throughout the text, the Prerequisite Skills Review directs students to previous sections in the text to review concepts and skills needed to master the material at hand. In addition, prerequisite skills review exercises in Eduspace (see below for description) are referenced in every exercise set. The Larson team achieves accessibility through careful writing and design, including examples with detailed solutions that begin and end on the same page, which maximizes the readability of the text. Similarly, side-by-side solutions show algebraic, graphical, and numerical representations of the mathematics and support a variety of learning styles
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This eBook reviews some advanced topics in algebra, including exploring the nature of polynomials, functions, equations and identity's, examining the mathematical nomenclature used in multiplication and division. We consider multiplying out brackets, taking out common factors, manipulating algebraic fractions and simplifying expressions. We include an extensive selection of questions 4th grade students unique collection of Tunisian proverbs: Enjoyable, instructive, fun-to-share proverbs. Highly recommended to everyone, especially word and semantics lovers. After research, Carefully selected proverbs, translated as faithfully as possible, The author has deliberately chosen not to explain the proverbs, inviting the reader to use his/her own imagination and powerful interpretative skills!
Short Essays on British Literature seeks to provide high school students, undergraduates, and general readers with a number of starting points from which to begin their own considerations of British literature, using clear, concise language and a minimum of scholarly jargon. Includes a helpful guide to citing each essay in MLA, Chicago, and APA style.
This book is exclusively designed for Kids. The book consists of several questions,puzzles,tricky questions exclusively made for Kids. The book both entertains children and also provides knowledge on various topics.The book is real fun for Kids. Knowledge and fun provided in one single book for kids. The book is designed highly keeping in mind about kids and their way of learning.
This book is for preachers, teachers, youth workers, leaders of holiday and after school programs and all others who are biblical storytellers.
Action and emotion are key elements in capturing and maintain interest. This book focuses on the emotional interaction of the people involved in the events depicted in the Gospels.
"As a man Mentoreth so is he" is a paraphrase of a well used aphorism. That's a great way to begin describing this volume on Mentoring. Mentorology Volume One is a textbook about Mentoring written like a storybook. Real life experiences in some extreme situations provide engaging and informative reading. As a Mentor, Teacher, Youth Leader or Coach you will learn from great Mentoring stories.
This eBook introduces the subject of circle and circle geometry, introduces the equation of a circle, explores circle geometry, examines tangential lines to circles and their properties and equations, as well as exploring arc-length and sector area of circles where angles are represented in radians. Further, we include some elementary questions for the student to enjoy.
Are you someone who "thinks things over?" Do you have conversations with yourself, silently in your head? If so, you are a practitioner of reflexivity. I use "classic" American films to describe four types of reflexivity. After introducing thirty-nine persons from the South Denver High School class of 1968, I ask if their type of reflexivity is related to the level of social status they reached.
Practice and hone important subtraction skills with this firstWhat needs to be done to make America number one in education and productivity again? Why are our children lacking in these areas? Who is responsible? What does it mean to be responsible anymore? This book discusses the pitfalls of parents, teaches, administrators, and students in our country.
Written by Janine Hunter, a former high school teacher or 32 years and Therapist of 3 years purpose of this book is to share with the reader a practical approach to and methodology for unbundling corporate management that will assist business leaders in improving their company's results and provide corporate executives with an employee empowerment management model.
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Notes
† - Items can only be purchased with PO or school credit card.
Product Descriptions
The Student Edition includes the same content as the on-level program, but is written at a reduced readability level with additional lesson and chapter support to ensure that struggling learners acquire key mathematics concepts.
Student worktext contains the Student Companion and Practice and Problem Solving Workbook for the Foundations Series, all in one place plus one 6-year access to PowerAlgebra.com for a seemless transtion between digital and print.
One 6-year access to PowerAlgebra.com serves as the portal into the digital world of Prentice Hall Algebra 1 Foundations Series. The online program can be used as part of a blended model with print, or as a digital course. Online access includes a wealth of assets, such as the Student Edition with audio, complete Teacher's Edition, instruction and presentation tools, editable worksheets, interactive online activities, student-generated videos, classroom management tools, and online assessments with remediation.
This comprehensive resource contains the Student Companion and Practice and Problem Solving Workbook for the Foundations Series, all in one place.
Provides complete daily support for every lesson. Includes Think About a Plan, Practice, and Standardized Test Prep.
The 2-volumne printed set features teaching strategies offered in each lesson, supported by Grant Wiggins' Understanding by Design framework, additional instructional support for English Language Learners, struggling learners, and advanced learners, Chapter Planning Guides with activities and program resources labeled with levels of difficulty plus a Teacher's Resource DVD.
Provides in-class support for new vocabulary, key concepts, Got Its, and lesson checks plus complete daily support for every lesson including Think About a Plan, practice, and standardized test preparation.
Provides key features for each lesson and answers to Think About a Plan, Practice, and Standardized Test Prep.
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This book gives a unified approach to the theory concerning a new matrix version of classical harmonic analysis. Most results in the book have their analogues as classical or newer results in harmonic analysis. It can be used as a source for further research in many areas related to infinite matrices. In particular, it could be a perfect starting point... more...
With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the frontiers of current research. Along with revisions... more...
This practical and easy-to-understand learning tutorial is one big exciting exercise for students and engineers that are always short on their schedules and want to regain some lost time with the help of Simulink.This book is aimed at students and engineers who need a quick start with Simulink. Though it's not required in order to understand how Simulink... more...
Arming readers with both theoretical and practical knowledge, Advanced Linear Algebra for Engineers with MATLAB ® provides real-life problems that readers can use to model and solve engineering and scientific problems in fields ranging from signal processing and communications to electromagnetics and social and health sciences.
Facilitating... more...
Linear algebra is a fundamental area of mathematics, and is arguably the most powerful mathematical tool ever developed. It is a core topic of study within fields as diverse as: business, economics, engineering, physics, computer science, ecology, sociology, demography and genetics. For an example of linear algebra at work, one needs to look no further book introduces the study of algebra induced by combinatorial objects called directed graphs. These graphs are used as tools in the analysis of graph-theoretic problems and in the characterization and solution of analytic problems. The book presents recent research in operator algebra theory connected with discrete and combinatorial mathematical... more...
Self-similar processes are stochastic processes that are invariant in distribution under suitable time scaling, and are a subject intensively studied in the last few decades. This book presents the basic properties of these processes and focuses on the study of their variation using stochastic analysis. While self-similar processes, and especially... more...
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I'm a self taught programmer, and although I know many people feel math isn't necessary, I find that in many examples of algorithms I come across talk about (what sounds to be) some pretty complex mathematics. I would love to eventually have a solid understanding of the math that a good, university educated computer scientist should know. I don't really remember any math past algebra 2. With that being where I left off, what should my starting point be? What math topics should I research, and in what order?
I'm looking to build a curriculum for myself that will be pretty easy to take on from where I left off and continually learn until I have a similar understanding to that of what a university would provide.
Discreet mathematics, linear algebra, set theory, logic (boolean in particular), finite automata and regular languages are the things off the top of my head (and I am as self taught as you are).
–
Oded♦Mar 7 '12 at 13:16
Hi ThinkingInBits, This question is overly broad and too difficult to answer. There are a number of similar questions however that you can search for and that others have posted as a comment. If you have a more specific question then it will be welcome.
–
maple_shaft♦Mar 7 '12 at 14:17
I'd suggest looking beyond math itself and into the philosophy of logic, particularly mathematical logic. That will take you further than rote memorization of algorithms and help you find solutions to problems better.
–
jfrankcarrMar 7 not easy to comprehensively answer your question. It very much depends on what you would like to do with your programming skills.
However, as a starting point I would suggest reading the first book of Donald E. Knuth's excellect handbook The Art of Computer Programming. It contains a comprehensive chapter on the mathematical prerequisites for understanding algorithms, and computer science in general.
In addition, I feel that a thorough understanding of Boolean algebra and mathematical logic is essential for any programmer.
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Quadratic Equations: Proficiency Exam
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Quadratic Equations: Proficiency Exam
ID:
m21920
Language:
English
(en)
Summary:
This module is from Elementary Algebra</link> by Denny Burzynski and Wade Ellis, Jr.
Methods of solving quadratic equations as well as the logic underlying each method are discussed. Factoring, extraction of roots, completing the square, and the quadratic formula are carefully developed. The zero-factor property of real numbers is reintroduced. The chapter also includes graphs of quadratic equations based on the standard parabola, y = x^2, and applied problems from the areas of manufacturing, population, physics, geometry, mathematics (numbers and volumes), and astronomy, which are solved using the five-step method.
This module contains the proficiency exam for the chapter "Quadratic Equations".
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Algebra
The AskDrCallahan Algebra DVD course is perfect for homeschool or other self driven students. The course provides a solution for parents and students looking for a solution to learning algebra and preparing them for geometry, the ACT, SAT, and future math success. The student is guided through the Elementary Algebra textbook by Harold Jacobs with video lessons covering each topic and working examples as needed. Word problems are walked into using real world examples and simple logic.
Course includes everything needed for mom and student alike. The course is taught in a light hearted style, focused on understanding the concepts of algebra and not a ton of math-speak.
Printer Teachers Guide (SKU 1211): Printed copy of the AskDrCallahan Algebra Teachers Guide which includes the tests, the test grading guide, and the syllabus. The guide is contained on the CDs with SKU 1210 (DVDs) but this offers a printed copy of the same. You may also download the Teacher's Guide.
Other Common Questions
How do I konw if my student is ready for algebra?
We get this all the time. Many of you are wanting to start in a pre-algebra to get your student "up to speed". We look at this is bit differently. If your student can understand the following, they are ready for algebra
X + 5 = 10 and figure out what X is.
Plot a point on a graph.
Understands basic addition, multiplication, subtration, and division. (No, they do not have to know "math facts" such as what 6 times 8 equals without thinking about it.)
Basic fractions. Do they know what 1/4 of a cup is and how to find it? What about 2/4ths of a cup?
Really, we are not kidding. Most prealgebra is a repeat of what they have done before. So jump into algebra and take it slow.
It has all the solutions. Sometimes they are in detail, and other times it is just the answer. Here is a sample of the first 2 chapters of the Jacobs Solution Manual.
We know that some homeschool material works out everything in detail, and this does NOT do that. However, the solutions manual offers all you will need. When detailed answers are not given, it is because they are pretty obvious. On the rare occassion that your student (or you) does not understand how the solution was found, we will help you via our support.
Over the years, we have had very few problems from parents or students related to this issue.
Can my son/daugher do this course on their own?
Yes. We know, we homeschool too. There is parent overload. So we have designed these courses so that you can either do it with them or have them do it on their own. For our children, they do everything on their own until they have a question.
Furthermore, I would suggest that you DO have them work it on their own. Again, you are preparing for college and life, and you want to teach them to learn on their own as well as to have personal responsibility.
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Overview
Presents a step-by-step approach to do all kinds of business-math problems, including basic arithmetic, algebra, percentages, and conversions; specific, real-life applications such as figuring discounts, calculating simple and compound interest, reading balance sheets and income statements, and preparing graphs and charts; and, more.
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Introduction to Maple 16: See What's New
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Description
Maple 16 is a major new release of Maple, the technical computing software for mathematicians, engineers, and scientists. With Maple 16, Maplesoft introduces new tools and techniques in its Clickable Math collection, setting new standards for ease of use in mathematical software and providing new, innovative ways to explore mathematics. Of course, the interface is only one of the many areas of Maple that was enhanced in Maple 16. Substantial improvements were made across the entire product, in mathematical algorithms, visualization, programming language, engineering tools, documentation, education features, authoring tools, and more. In this webinar, we'll explore many of the new features of Maple 16.
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Full course description
This course is a review of Basic Arithmetic skills that serve as a prerequisite for placement into and success in pre-college and college-level algebra courses. In this course, primary emphasis will be placed on fundamental operations with whole numbers, fractions, decimals, and integers. Other topics covered include proportions, percentages, representations of data, geometric figures, and measurement.
Students who should take this course include: those that have an interest in brushing up on arithmetic skills prior to taking an upcoming placement test or those that have not had math in many years and want to review foundational skills and concepts.
This course provides free digital access to all required materials including a student workbook, lesson videos, and online homework practice and assessment.
The course instructor recommends purchase of a textbook or other course materials. Please see the details below.
Donna Gaudet, Ed.D.
Professor of Mathematics
Donna Gaudet is an instructor of mathematics at Scottsdale Community College in Scottsdale, Arizona. She received her Ed.D in Instructional Technology and Distance Education from Nova Southeastern University in 2006. She also earned an M.S. in Applied Mathematics from the University of Colorado at Colorado Springs (1991) and a B.A. in Mathematics from the same school (1989). Donna has used technology actively in her courses since the mid-1990s and her current interest is in the design and delivery of hybrid and online learning experiences and courses.
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Geometry Deciding how much paint or carpeting to buy. Deciding how much fencing you need to enclose your yard. Deciding if and how your new furniture will fit into your room. Probability and Statistics Understanding health risks. Understanding and making business decisions.
Calculus and Differential Equations Needed for engineering, business, economics, physics, astronomy. Used for problems that involve work, water pressure, etc. Sciences Help in understanding yourself and the world you live in.
Facts about college math andscience courses: Assignments are crucial. Class time may focus more on theories and ideas than on problem- solving. Class size may be larger. Knowledge of technology may be important.
Effective Use of Math and ScienceTextbooks Involves: Recognizing that material is presented sequentially. Taking notes, working examples yourself, identifying things you don't understand. Paying attention to formulas. Using memory techniques, especially in learning new vocabulary. Learning the language of the discipline. Keeping up with reading and homework.
Studying and Homework Review materials regularly and often. Do problems, problems, more problems. Don't let frustration stop you. Work with a partner or study group. Use what you know about your learning styles.
Steps in Solving Word Problems 1. Read the problem carefully and understand what it is asking. 2. Relate to problems you have done and identify possible solutions. 3. Pick a way to solve the problem and do it. 4. Review your results.
PROBLEM-SOLVINGSTRATEGIES Look for a pattern. Make a table. Break into smaller parts. Check a similar problem. Work backwards. Draw a table/diagram. Translate words into an equation.
Math and Science Test-Taking Tips Read through the entire exam first. Analyze problems carefully. Estimate an approximate answer before working the problem. Break solution into smallest possible steps. Draw a picture to help you see the problem. Be neat. Use the opposite operation to check your work. Look back at the question to be sure you followed directions.
Visual Aids Provide a lot of information in an easy to understand form in a relatively small amount of space. Show trends over time. Show relative rankings. Show distributions. Show cycles.
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Complex numbers as ordered pairs of reals, Representation of complexnumbers in the form a+ib and their representation in a plane, Argand diagram,algebra of complex numbers, modulus and argument (or amplitude) of acomplex number, square root of a complex number, triangle inequality,Quadratic equations in real and complex number system and their solutions.Relation between roots and co-efficients, nature of roots, formation of quadraticequations with given roots.
UNIT 3 : MATRICES AND DETERMINANTS:
Matrices, algebra of matrices, types of matrices, determinants and matrices of order two and three.Properties of determinants, evaluation of determinants, area of triangles using determinants. Adjointand evaluation of inverse of a square matrix using determinants and elementary transformations,Test of consistency and solution of simultaneous linear equations in two or three variables usingdeterminants and matrices.
UNIT 4 : PERMUTATIONS AND COMBINATIONS:
Fundamental principle of counting, permutation as an arrangement andcombination as selection, Meaning of P (n,r) and C (n,r), simple applications.
UNIT 5 : MATHEMATICAL INDUCTION:
Principle of Mathematical Induction and its simple applications.
UNIT 6 : BINOMIAL THEOREM AND ITS SIMPLE APPLICATIONS:
Binomial theorem for a positive integral index, general term and middle term,properties of Binomial coefficients and simple applications.
Ordinary differential equations, their order and degree. Formation of differentialequations. Solution of differential equations by the method of separation ofvariables, solution of homogeneous and linear differential equations of the type:
dy+ p (x) y = q (x)dx
UNIT 11: CO-ORDINATE GEOMETRY:
Cartesian system of rectangular co-ordinates 10 in a plane, distance formula,section formula, locus and its equation, translation of axes, slope of a line,parallel and perpendicular lines, intercepts of a line on the coordinate axes.Straight linesVarious forms of equations of a line, intersection of lines, angles betweentwo lines, conditions for concurrence of three lines, distance of a point from aline, equations of internal and external bisectors of angles between two lines,coordinates of centroid, orthocentre and circumcentre of a triangle, equation offamily of lines passing through the point of intersection of two lines.Circles, conic sections
Standard form of equation of a circle, general form of the equation of a circle, its radius and centre,equation of a circle when the end points of a diameter are given, points of intersection of a line and acircle with the centre at the origin and condition for a line to be tangent to a circle, equation of thetangent. Sections of cones, equations of conic sections (parabola, ellipse and hyperbola) instandard forms,
condition for y = mx + c to be a tangent and point (s) of tangency.
UNIT 12: THREE DIMENSIONAL GEOMETRY:
Coordinates of a point in space, distance between two points, section formula,direction ratios and direction cosines, angle between two intersecting lines.Skew lines, the shortest distance between them and its equation. Equations of aline and a plane in different forms, intersection of a line and a plane, coplanarlines.
UNIT 13: VECTOR ALGEBRA:
Vectors and scalars, addition of vectors, components of a vector in twodimensions and three dimensional space, scalar and vector products, scalarand vector triple product.
PHYSICSThe syllabus contains two Sections - A and B. Section - A pertains to the Theory Part having 80%weightage, while Section - B contains Practical Component (Experimental Skills) having 20%weightage.SECTION – A
Force and Inertia, Newton's First Law of motion; Momentum, Newton's SecondLaw of motion; Impulse; Newton's Third Law of motion. Law of conservation oflinear momentum and its applications, Equilibrium of concurrent forces.
Static and Kinetic friction, laws of friction, rolling friction.
Dynamics of uniform circular motion: Centripetal force and its applications.
UNIT 4: WORK, ENERGY AND POWER
Work done by a constant force and a variable force; kinetic and potentialenergies, workenergy theorem, power.
Potential energy of a spring, conservation of mechanical energy, conservativeand nonconservative forces; Elastic and inelastic collisions in one and twodimensions.
UNIT 5: ROTATIONAL MOTION
Centre of mass of a two-particle system, Centre of mass of a rigid body; Basic concepts of rotationalmotion; moment of a force, torque, angular momentum, conservation of angular momentum and itsapplications; moment of inertia, radius of gyration. Values of moments of inertia for simplegeometrical objects, parallel and perpendicular axes theorems and their applications. Rigid bodyrotation, equations of rotational motion.
UNIT 6: GRAVITATION
The universal law of gravitation. Acceleration due to gravity and its variationwith altitude and depth. Kepler's laws of planetary motion. Gravitationalpotential energy; gravitational potential. Escape velocity. Orbital velocity of asatellite. Geo-stationary satellites.
UNIT 7: PROPERTIES OF SOLIDS AND LIQUIDS
Elastic behaviour, Stress-strain relationship, Hooke's Law, Young's modulus, bulkmodulus, modulus of rigidity. Pressure due to a fluid column; Pascal's law and its applications.
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Precalculus: Mathematics for Calculus
9780840068071
ISBN:
0840068077
Edition: 6 Pub Date: 2011 Publisher: Brooks Cole
Summary: Designed to give students a background in mathematics theory and introduce them to mathematics concepts this textbook is comprehensive without being daunting. Students are introduced to modelling and problem solving and they are given a rigorous workout on what they have learned as they work through the book. It has many graphs that chart mathematical ideas that students can assimilate with ease. It is written in a c...lear and readable style that will aid comprehension and enjoyment. This is just one of the many cheap math textbooks we have available for students to acquire in great condition.
Stewart, James is the author of Precalculus: Mathematics for Calculus, published 2011 under ISBN 9780840068071 and 0840068077. Six hundred thirty six Precalculus: Mathematics for Calculus textbooks are available for sale on ValoreBooks.com, two hundred seventeen used from the cheapest price of $87.21, or buy new starting at $205.85 International Edition: Almost new condition. SKU:9780840068866-2-0-15 Orders ship the same or nex... [more]6 edition, , color Printing, Softcover International edition **Different ISBN and Cover design but offer same content and paper quality as that of domestic US editi [more]
The book itself was least useful to me the only reason I had to buy the book was to do online tests with the access code. These codes are unfair to the student, because they make getting your money back on books that are not even used except for one code nearly impossible.
Precalculus, required that I "use" this book even though the book was never actually used only one page was ever opened in this book, and that page was to get the UNFAIR online code.
This book did a very good job of explaining concepts step by step. Compared to other math textbooks, this one was actually easy to follow, the problems and examples were similar and flowed in a logical way.
I learned about vectors, conic equations,trigonometry and various functions from this book.
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Summary: James meticulou...show mores accuracy, patient explanations, and carefully graded problems. The content has been refined and the examples and exercises have been updated. In CALCULUS: CONCEPTS AND CONTEXTS, this well respected author emphasizes conceptual understanding - motivating students with real world applications and stressing the Rule of Four in numerical, visual, algebraic, and verbal interpretations. All concepts are presented in the classic Stewart style: with simplicity, character, and attention to detail. In addition to his clear exposition, Stewart also creates well thought-out problems and exercises. The definitions are precise and the problems create an ideal balance between conceptual understanding and algebraic skills. ...show less
James meticulous accuracy, patient explanations, and carefully graded problems.
Other Editions of Calculus : Concepts and Contexts Single Variable -Text Only:
Shows some signs of wear, and may have some markings on the inside. 100% Money Back Guarantee. Shipped to over one million happy customers. Your purchase benefits world literacy!
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$179179
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Saugus StatisticsStudents will benefit most from reading and interpreting highly regarded scientific journalism, introductory texts, and essays about scientific topics. Mathematics is the exploration of how quantities relate to each other. Students usually find trouble in mathematics when they lose sight of its ultimate simplicity
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The Geometer's Sketchpad a scope that spans the mathematics curriculum from middle school to college, The Geometer's Sketchpad brings a powerful dimension to the study of mathematics. Sketchpad is a dynamic construction and exploration tool that enables students to explore and understand mathematics in ways that are simply not possible with traditional tools or with other mathematics software programs.
What's new in this version: Bug Fixes:
Functions defined by a Drawing no longer fail to fit the greatest height of the Drawing when the Drawing is highly rotated.
Custom Tools that both match certain Givens to existing sketch objects and create points-on-objects on their Givens no longer occasionally fail to match properly.
Several example documents in the "Elementary and Middle School Mathematics" folder have undergone minor improvements.
(Macintosh) Sketchpad is no longer incompatible with OS X Paren
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Tag Archives: theorems
When math books present a theorem they almost always immediately present its proof. I tend to skip the proofs. I assume they are correct. I want to get on with the ideas in the text. Later I may come back and read through them. Is this a good thing to advise students to do? I don't know.
There are reasons to read proofs. One reason is to help understand why a theorem is true, by seeing the reasoning that lead to the result. Another is to check the reasoning yourself. A third is to learn how to do proofs.
Learning to write original proofs is not usually one of the goals of a beginning calculus course. That comes later in a course with "analysis" in its title. There are many theorems that involve some one-off that rarely will be used again. I'm thinking of a proof like that of the sum of the limits is equal to the limit of the sums, where you add and subtract the same expression and this more complicated form allows you to group and factor the terms of the numerator and arrive at the result. Another example is in the Mean Value Theorem where you consider a new function that gives the vertical distance between a function and its secant line. These always bring the question, "How did you know to do that?"
If a student can accept things like that, then the proof is usually easy enough to follow. But I would never spend a lot of time making every student fight his or her way through each and every proof.
On this other hand, I would never just present a theorem and not give some explanation as to why it is true (and why it is important enough to mention). Unfortunately, I have seen teachers write the Fundamental Theorem of Calculus on the board and proceed to show how to use it to evaluate definite integrals, with no hint of why this important theorem is true. Sure kids can memorize it and use it, but it seems to me they should also have a hint as to why it is true.
Some theorems are easy to understand if explained in ways other than a proof. For an example of this, see my post of October 1, 2012 on the Mean Value Theorem. Almost every book will bail out on the Intermediate Value Theorem by claiming (quite rightly) that, "the proof is beyond the scope of this book," or they give the proof in an appendix. But a simple drawing will convince you that it is true.
So my feeling is that you do not need to labor over a proof for every theorem, BUT, big BUT, you should provide a good explanation of why it is true.
This is important for all students and especially for young women. Jo Boaler writes
"As I interviewed more and more boys and girls, I noticed that the desire to know why was something that separated the girls from the boys. The girls were able to accept the method that were shown them and practice them, but they wanted to know why they worked, where they came from, and how they connected with other methods…. When they could not get access to the depth of understanding they wanted, the girls started to turn away from the subject…. Classes in which students discuss concepts, giving them access to a deep and connected understanding of math, are good for boys and girls. Boys may be willing to work in isolation on abstract rules, but such approaches do not give many students, girls or boys, access to the understanding they need. In addition, high-level work in mathematics, science and engineering is not about isolated, abstract rule following, but about collaboration and connection making."
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Continuing with some thoughts on helping students read math books, we will now look at the main things we find in them in addition to definitions which we discussed previously: theorems and axioms.
An implication is a sentence in the form IF (one or more things are true), THEN (something else is true). The IF part gives a list of requirements, so to speak, and when the requirements are all met we can be sure the THEN part is true. The fancy name for the IF part is hypothesis; the THEN part is called the conclusion.
Implications are sometimes referred to as conditional statements – the conclusion is true based on the conditions in the hypothesis.
An example from calculus: If a function is differentiable at a point, then it is continuous at that point. The hypothesis is "a function is differentiable at a point", the conclusion is "the function is continuous at that point."
This is often shortened to, "Differentiability implies continuity." Many implications are shortened to make them easier to remember or just to make the English flow better. When students get a new idea in a shortened form, they should be sure to restate it so that the IF part and the THEN part are clear to them. Don't let them skip this.
Related to any implication are three other implications. The 4 related implications are:
The original implication: if p, then q.
The converse is formed by interchanging the hypothesis and the conclusion of the original implication: if q, then p. Even if the implication is true, the converse may be either true or false. For example the converse of the example above, if a function is continuous then it is differentiable, is false.
The inverse is formed by negating both the hypothesis and the conclusion: if p is false, then q is false. For our example: if a function is not differentiable, then it is not continuous. As with the converse, the inverse may be either true or false. The example is false.
Finally, the contrapositive is formed by negating both the original hypothesis and conclusion and interchanging them, if q is false, then p is false. For our example the contrapositive is "If a function is not continuous at a point, then it is it is not differentiable there." This is true, and it turns out a useful. One of the quickest ways of determining that a function is not differentiable is to show that it is not continuous. Another example is a theorem that say if an infinite series, an, converges, then . This is most often used in the contrapositive form when we find a series for which ; we immediately know that it does not converge (called the nth-term test for divergence).
The original statement and its contrapositive are both true or both false. Likewise, the converse and the inverse are both true or both false.
Any of the 4 types of statements could be taken as the original and the others renamed accordingly. For example, the original implication is the converse of the converse; the contrapositive of the inverse is the converse, and so on.
Definitions are implications for which the statement and its converse are both true. This is the real meaning of the reversibility of definitions. For this reason, definitions are sometimes called bi-conditional statements.
Axioms and Theorems
There are two kinds of if …, then… statements, axioms (also called assumptions or postulates) and theorems. Theorems can be proved to be true; axioms are assumed to be true without proof. A proof is a chain of reasoning starting from axioms, definitions, and/or previously proved theorems that convinces us that the theorem is true. (More on proof in a future post.)
It would be great if everything could be proved, but how can you prove the first few theorems? Thus mathematical reasoning starts with (a few carefully chosen) axioms, and accepts them as true without proof. Everything else should be proved. If you can prove it, it should not be an axiom.
Theorems abound. All of the important ideas, concepts, "laws" and formulas of calculus are theorems. You will probably see few, if any, axioms in a calculus book, since they came long before in the study of algebra and geometry.
Learning Theorems
When teaching students and helping them read and understand their textbook, it is important that they understand what a theorem is and how it works. They should understand what the hypothesis and conclusion are and how they relate to each other. They should understand how to check that the parts of the hypothesis are all true about the function or situation under consideration, before they can be sure the conclusion is true.
For the AP teachers this kind of thing is tested on the exams. See 2005 AB-5/BC-5 part d, or 2007 AB-3 parts a and b (which literally almost no one got correct). These questions can be used as models for making up your own questions of other theorems.
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Definitions are similar to theorems, but are true in both directions; technically, this means that the statement and its converse are both true (). The double arrow is read "if, and only if." Both parts are either true or both parts are false. Definitions usually name some thing or some property. Definitions are not proved.
The definition of continuity is a good example: A function f is continuous at x = a if, and only if, these three things are true
(1) exist (i.e. is a finite number)
(2) exist (i.e. is a finite number)
(3) ("The limit equals the value.")
"Play" with it: consider cases where only 2 of the 3 requirements are true – is the function still continuous? What would happen if you removed the requirements about finite numbers?
To use a theorem one must be sure all the hypotheses are true. To use a definition one may say that either part is true once you have established that the other part is true. So if you know a function is continuous at a point, then the three statements are true; or if you can show the three statements are true, you may say the function is continuous.
Here's an example: A typical AP problem might give a piecewise defined function and ask if it is continuous at the place where the domain is divided.
To get credit for justifying an answer of "yes", students must show that all the requirements of the definition are met. Specifically, they must show that the limit as x approaches that point must equal the value of the function at that point (and both are finite). In turn, to show that this limit exist the student must show that the hypotheses of the theorem that says if the two one-sided limits are equal to the same number, then that number is the limit.
To get credit for an answer of "no", the student must show that (only) one of the hypotheses is false.
Finally, as with theorems, express definitions in words. With your students, "play" with the theorem or definition by making changes to the hypotheses and seeing how that affects the conclusion. Look at graphs. Don't just state the definition and expect students to understand it, remember it and use it correctly.
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Theorems are statements that summarize the results that are true in mathematics. Theorems are statements that have been proved true; but the emphasis in AP Calculus is not on proof. Rather, it is on what the theorems mean and how to use them.
Theorems have two parts: the "if …" clause called the hypothesis and the "then …" clause called the conclusion. Students need to know both parts. In many theorems the conclusion is some sort of formula. The students need to know this, but also need to know when they can use it (the hypothesis tells them that).
An early important theorem is the Intermediate Value Theorem (IVT). Take some time with this theorem. "Play" with it. The hypothesis requires that the function be continuous on a closed interval. Use graphs (sketches, no equation needed) to show cases where the conclusion is both true and false when the function is not continuous. Can the function take on values not between f(a) and f(b)? Can you find a case where the hypothesis is met, but the conclusion is false? (Let's hope not!)
Consider the theorem (), its converse (), its inverse () and its contrapositive () by looking at graphs of each case. (For the IVT the converse and inverse are false. The contrapositive of any true theorem is also true.)
Finally, for this and for all the important theorems that you use this year, express them in words, "play" with them by making change to the hypothesis, and look at graphs. Don't just state the theorem and expect students to understand it, remember it and use it correctly.
The next post will be about definitions, which are similar to theorems in lots of ways.
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A blog
for calculus teachers and students by Lin McMullin
Thru the Year
The listing of my posts from last August through November has been added to the "Thru The Year" page on the top navigation bar. I hope this will help you find the topics you want in each month a little ahead of when you teach them. This list will be updated monthly.
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More About
This Textbook
Overview
This rigorous two-part treatment advances from functions of one variable to those of several variables. Intended for students who have already completed a one-year course in elementary calculus, it defers the introduction of functions of several variables for as long as possible, and adds clarity and simplicity by avoiding a mixture of heuristic and rigorous arguments.
The first part explores functions of one variable, including numbers and sequences, continuous functions, differentiable functions, integration, and sequences and series of functions. The second part examines functions of several variables: the space of several variables and continuous functions, differentiation, multiple integrals, and line and surface integrals, concluding with a selection of related topics. Complete solutions to the problems appear at the end of the text.
Read an Excerpt
ADVANCED CALCULUS
Dover Publications, Inc.
The positive integers 1, 2, 3, ... are called natural numbers. Since we intend to do things rigorously, we cannot be satisfied with our everyday familiarity with these numbers, and we should try to axiomatize their properties. Let us first write down five statements concerning the natural numbers that we feel should be true:
(I) 1 is a natural number.
(II) To every natural number n there is associated in a unique way another natural number n' called the successor of n.
(III) 1 is not a successor of any natural number.
(IV) If two natural numbers have the same successor, then they are equal.
(V) Let M be a subset of the natural numbers such that: (i) 1 is in M, and (ii) if a natural number is in M, then its successor also is in M. Then M coincides with the set of all the natural numbers.
From now on we consider the statements (I)–(V) to be axioms. They are called the Peano axioms. The natural numbers will be the objects occurring in the Peano axioms. Axiom (V) is called the principle of mathematical induction.
We denote the successor of 1 by 2, the successor of 2 by 3, and so on. Note that 2 ≠ 1. Indeed, if 2 = 1, then 1 is the successor of 1, thus contradicting (III). Note next that 3 ≠ 2. Indeed, if 3 = 2 then, by (IV), 2 = 1, which is false. In general, one can show that all the numbers obtained by taking the successors of 1 any number of times are all different. The proof of this statement, which we shall not give here, is based on induction, that is, on Axiom (V).
We would like to state Axiom (V) in a form more suitable for application:
(V') Let P(n) be a property regarding the natural number n, for any n. Suppose that (i) P(1) is true, and (ii) if P(n) is true, P(n') also is true. Then P(n) is true for all n.
If we define M to be the set of all natural numbers for which P(n) is true, then (V') follows from (V). If, on the other hand, we define P(n) to be the property that n belongs to M, then (V) follows from (V'). Thus (V) and (V') are equivalent axioms.
The Peano axioms give us objects with which to work. We now proceed to define operations on these objects. There are two operations that we consider: addition (+) and multiplication (·). To any given pair of natural numbers each of these operations corresponds another natural number. The precise definition of this correspondence is given in the following theorem.
THEOREM 1. There exist unique operations "+" and "." with the following properties:
n + 1 = n', n + m' = (n + m)', (1)
n · n, n · m' = n · m + n. (2)
The proof will not be given here. We shall often write mn instead of m · n.
THEOREM 2. The following properties are true for all natural numbers m, n, k:
m + n = n + m, mn = nm (the commutative laws) (3)
(m + n) + k = m + (n + k), (mn)k = m(nk) (the associative laws), (4)
m(n + k) = mn + mk, (n +k)m = nm +km (the distributive laws). (5)
The proof of Theorem 2 can be given by induction; it is based on the properties (1) and (2).
We state, without proof, another theorem, known as the trichotomy law:
THEOREM 3. Given any natural numbers m and n, one and only one of the following possibilities occurs:
(i) m = n.
(ii) m = n + x for some natural number x.
(iii) n = m + y for some natural number y.
If (ii) holds, we write m > n or n < m, and we say that m is larger or greater than n and that n is smaller or less than m. If either (i) or (ii) holds, we write m n or n m, and say that m is larger or equal to n and that n is less than or equal to m.
If the solution x of (1) is a positive integer, we write b >a or a< b, and we say that b is larger (or greater) than a and that a is smaller (or less) than b. If x is negative, then the equation b + y = a has the positive solution y = -x. Hence a > b.
We now shall introduce fractions. These are symbols that we write in the form a/b or a/b, where a and b are any integers, and b ≠ 0. These symbols are subject to the following definitions:
a/b = c/d if and only if ad = bc (equality), (2)
a/b + c/d = ad + bc/bd (addition), (3)
a/b · c/d = ac/bd (multiplication). (4)
Note that if a/b = c/d and c/d = e/f, then a/b = e/f.
The last two definitions are acceptable only if we can show that b ≠ 0, d ≠ 0 imply that bd ≠ 0. This, however, can be checked by considering the four possibilities: b positive or negative, d positive or negative.
Definitions (3) and (4) would be most unnatural if it turned out that it is possible to have a/b = a'/b', c/d = c'/d' but a/b + c/d is not equal to a'/b' + c'/d' [or (a/b) · (c/d) is not equal to (a'/b') · (c'/d')]. The following theorem shows that this cannot occur.
THEOREM 2. If a'/b' = a/b and c'/d' = c/d, then
a'/b' + c'/d' = a/b + c/d, (5)
a'/b' · c'/d' = a/b · c/d. (6)
Proof. To prove (5) we have to show that
a'd'/b'd' + b'c'/b'd' = ad + bc/bd
or
a'd'bd + b'c'bd = adb'd' + bcb'd'.
But this follows by multiplying the relation a'b = ab' by dd', the relation c'd = cd' by bb', and adding the resulting equalities. To prove (6) we have to show that
a'c'/b'd' = ac/bd,
or
a'c'bd = acb'd'.
But this follows from
a'c'bd = (a'b)(c'd) = (ab')(cd') = acb'd'.
A fraction a/b is called negative if either a > 0, b< 0 or a< 0, b > 0. It is called positive if either a > 0, b > 0 or a< 0, b< 0. It is called zero if a = 0. It is easily seen that if a fraction c/d is equal to a fraction a/b, then they are either both positive, or both negative, or both zero.
THEOREM 3. The following properties hold for any fractions a/b, c/d, e/f:
It has a solution x = (bc - ad)/bd. If x is positive, then we write a/b< c/d or c/d >a/b, and say that c/d is larger than a/b and that a/b is less than c/d. If x is negative, then the equation
c/d + y = a/b
has the positive solution y = -x, so that a/b >c/d. Note that c/d is positive (negative) if it is larger (smaller) than zero.
The definition of fractions is very intuitive and is, in fact, suggested by our experience with quotients of integers. There is, however, one disturbing feeling about the concept of fractions, due to the fact that fractions having different forms may be equal to each other. This makes it impossible to speak of the zero fraction (since there are many fractions 0/b taking the role of zero). We also cannot assert that Equation (10) has a unique solution. Similarly, the equation
a/b · x = c/d, x fraction (where a ≠ 0) (11)
does not have a unique solution.
To overcome this unpleasant situation, we introduce the concept of a rational number.
DEFINITION. A rational number (a, b) (where a and b are integers, and b ≠ 0) is the class of all the fractions e/f that are equal to a/b.
THEOREM 4. Rational numbers satisfy the commutative laws for addition and multiplication, the associative laws for addition and multiplication, and the distributive laws.
Let us write the analog of Equation (11) for rational numbers:
(a, b) · x = (c, d) x rational (where a ≠ 0). (14)
This equation has a unique solution x = (bc, ad). We write this solution also in the form (c, d)/(a, b) or (c, d)(a, b)-1.
Let us write the analog of (10) for rational numbers:
(a, b) + x = (c, d), x rational. (15)
This equation also has a unique solution: x = (bc - ad, bd). We write it also as (c, d) - (a, b).
Note that there is a one-to-one correspondence between the integers a and the rational numbers (a, 1). This correspondence a -> (a, 1) is preserved under addition and multiplication. Indeed, this follows from the relations
(a, 1) + (b, 1) = (a + b, 1). (a, 1) · (b, 1) = (ab, 1).
Hence, if we write an integer a in the form (a, 1), we see that the integers can be identified with a subset of the rational numbers.
In what follows we shall adopt the definition of rational numbers as classes of fractions a/b. However, for brevity, we shall write the rational numbers (a, b) usually in the form a/b. When we write a/b = c/d, we mean that (a, b) = (c, d), that is, ad = bc. The rational numbers b/1 will also be written, briefly, as b. In particular, the rational number zero will be denoted by 0.
Table of Contents
Contents
Preface,
part one FUNCTIONS OF ONE VARIABLE,
1 NUMBERS AND SEQUENCES,
2 CONTINUOUS FUNCTIONS,
3 DIFFERENTIABLE FUNCTIONS,
4 INTEGRATION,
5 SEQUENCES AND SERIES OF FUNCTIONS,
part two FUNCTIONS OF SEVERAL VARIABLES,
6 SPACE OF SEVERAL VARIABLES AND CONTINUOUS FUNCTIONS ON IT,
7 DIFFERENTIATION,
8 MULTIPLE INTEGRALS,
9 LINE AND SURFACE INTEGRALS,
10 SELECTED TOPICS,
ANSWERS TO PROBLEMS,
Index
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COURSE GUIDES
Ever wondered how modern music is produced? Want to learn how to be able to turn your music recordings into professional sounding tracks? It doesn't matter whether you're a budding producer dreaming of being...
Maths is everywhere. Whether you love the subject or struggle to make sense of the numbers, conquering maths is important for everyday use and also for your career. You may be one of those who hate figures and avoids maths
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This web page provides a preliminary look at the pedagogy behind a vision to improve the teaching of mathematics and to provide math relevant to students studying emerging technologies. Recommendations stress critical...
The pre-test will give both math and shop teachers a rough baseline of the student's ability to do practical shop math and to read simple prints. The post-test will gage the students' progress in shop math and blueprint...
DO-IT serves to increase the success of people with disabilities, especially in fields where they have traditionally been underrepresented, such as science, technology, engineering, and mathematics. DO-IT uses ...
ConcepTests were developed by Eric Mazur as a method of improving student conceptual understanding and scores on concept examinations in physics. This has been replicated in other science areas (see http...
Integration has traditionally been so closely linked to the interpretation as an area and to the techniques of anti-differentiation as to appear inseparable from them. While largely a consequence of the fact that, in...
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About Mathematica
Some of the pioneering work in the 1970s on artificial intelligence yielded what we now recognize today as computer algebra systems. Though they are no longer associated with this realm of AI science, computer algebra systems are much used by research mathematicians, scientists, and engineers in creating the everyday vocabulary for research and discovery. In short, a computer algebra system, or CAS, is essentially a type of software that lets users work in symbolic mathematics.Users are able to use a CAS to manipulate mathematical expressions including polynomials in multiple variables, as well as derivatives, integrals, sums, and products of expressions, among many other expressions. One of the most popular CAS programs currently in use is Mathematica from Wolfram Research. It also serves as a programming language, giving users a powerful new tool.Mathematica is perhaps aptly named since Sir Isaac Newton's seminal work was titled Philosophiae Naturalis Principia Mathematica. In it, he revealed his extensive work in physics including the laws of motion and the law of universal gravitation, all based in part on his own invention of 'the calculus.' The modern-day Mathematica program itself works on a variety of platforms and is even made in a student version. Researchers as well as students can find both brand-new and used versions of Mathematica available at auction. It's possible to bid on the PC or Mac versions of the program and many copies are unopened. Expand your work and your knowledge of computer algeba systems with the help of Mathematica.
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Decatur, GA AlgebraThey will trace the historical development of the modern atomic theory and explain the current quantum mechanical model of the atom. The periodic table will be defined and explained using the modern atomic theory. The properties of atoms will be explored.
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Math Resources
Math Links and Resources appear below. The links open new windows to the referenced Web sites.
The Khan Academy is an excellent resource that offers over 1,400 video tutorials for all levels of math.
WolframMathworld claims to be "the web's most extensive mathematics resource." Mercer University is a Mathematica campus; access math tools through the Mercer network from the home page of WolframResearch.
The Math Forum @ Drexel offers an index to many good math resources. Ask Dr. Math maintains an extensive archive of commonly-asked questions and answers your individual questions as well.
Read the article Coping with Math Anxiety and you will find useful strategies for working math problems and taking exams. The parent web site Platonic Realms presents mathematical content in an unusual and appealing format.
These sites are not part of the Academic Resource Center or the Mercer University Web server. Therefore, Mercer University is not responsible for their content. If you have any problems or questions, please email the Academic Resource Center at [email protected].
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ALEX Lesson Plans
Title: Penny Drop That Thang!
Description:
This lesson is designed to introduce and extend students' knowledge on slope and linear equations. Students will be able to differentiate finding the slope to creating a linear equation.
This is a College- and Career-Ready Standards showcase lesson plan 17: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. [A-REI3] [MA2013] AL1 (9-12) 20: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. [A-REI6
Subject: Mathematics (8 - 12) Title: Penny Drop That Thang! Description: This lesson is designed to introduce and extend students' knowledge on slope and linear equations. Students will be able to differentiate finding the slope to creating a linear equation.
This is a College- and Career-Ready Standards showcase lesson plan.
Title: Exploring Slope
Description:
The Exploring Slope Description: The
Title: Incline Plane and the Crashing Marble
Description:
StudentsStandard(s): [S1] (8) 1: Identify steps within the scientific process. [S1] (8) 8: Identify Newton's three laws of motion. [S1] (8) 9: Describe how mechanical advantages of simple machines reduce the amount of force needed for work. [S1] (8) 10: Differentiate between potential and kinetic energy 3: Use proportional relationships to solve multistep ratio and percent problems. [7-RP36 - 8), or Science (8) Title: Incline Plane and the Crashing Marble Description: Students
Title: Graphing Stations
Description:
ThisStandard(s): from Graphing Stations Description: This
Title: Human slope
Description:
StudentsStandard(s): 7: Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. [8-EE5
Subject: Mathematics (6 - 12) Title: Human slope Description: Students
Title: Investigating School Safety and Slope
Description:
Using Investigating School Safety and Slope Description: Using
Title: We Love to Graph!
Description:
TheStandard(s): [TC2] CA2 (9-12) 11: Critique digital content for validity, accuracy, bias, currency, and relevance.8), or Technology Education (9 - 12) Title: We Love to Graph! Description: The
Title: Heads Up!
Description:
TheStandard(s):7 - 8) Title: Heads Up! Description: The
Title: What is the slope of the stairs in front of the school?
Description:
The purpose of this lesson is to help students apply the mathematical definition of slope to a concrete example. The students will learn to make the appropriate measurements and apply the formula to calculate the slope of the stairs experimentally GEO (9-12) 31: Prove the slope criteria for parallel and perpendicular lines, and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point). [G-GPE5]
Subject: Mathematics (8 - 12) Title: What is the slope of the stairs in front of the school? Description: The purpose of this lesson is to help students apply the mathematical definition of slope to a concrete example. The students will learn to make the appropriate measurements and apply the formula to calculate the slope of the stairs experimentally., Supreme Court Handshake
Description:
In Title: Supreme Court Handshake Description: In Thinkfinity Partner: Illuminations Grade Span: 6,7,8
Title: Beyond Handshakes
Description:
In this lesson, one of a multi-part unit from Illuminations, students explore triangular numbers. This exploration enhances students ability to generalize a pattern with variables.
Standard(s): Title: Beyond Handshakes Description: In this lesson, one of a multi-part unit from Illuminations, students explore triangular numbers. This exploration enhances students ability to generalize a pattern with variables. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
Title: Building Bridges
Description:
In investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association. [8-SP1
Subject: Mathematics,Professional Development Title: Building Bridges Description: In Create Graphing What
Description:
This reproducible activity sheet, from an Illuminations lesson, is used by students to record independent and dependent variables as well as the function and symbolic function rule for a set of graphs.
Standard(s): 13: Interpret the equation y = mx + b as defining a linear function Graphing What Description: This reproducible activity sheet, from an Illuminations lesson, is used by students to record independent and dependent variables as well as the function and symbolic function rule for a set of graphsimate other and whereALEX Learning Assets
Title: What's the Function?
Digital Tool:
Answer Garden, an online brain-storming tool Web Address URL:
Standard(s):
[Title:What's the Function? Digital Tool: Answer Garden, an online brain-storming tool
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Precise Calculator has arbitrary precision and can calculate with complex numbers, fractions, vectors and matrices. Has more than 150 mathematical functions and statistical functions and is programmable (if, goto, print, return, for).
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"Bryon here helps people prepare for tests of advanced numerical skills that are used extensively to weed out candidates for management and graduate jobs and for places in postgraduate courses. The main tests are the ABLE Financial Appraisal, GMAT, SHL Graduate Battery, and McKinsey Problem Solving, but they are similar enough that he takes them as a group rather than distinguishing between them. The nine sample tests cover accounting and business comprehension, geometry and further quantitative operations, advanced numeracy, and data interpretation. He pres answers and explanations, and a key for interpreting scores." -- Book News
There is an increasing need for numeracy skills in all aspects of life and What Teachers Need to Know About Numeracy explores the issues that are emerging regarding the teaching of these skills, beginning with preschool and the early years of primary school through to adults with poor numeracy skills. It draws on research and relevant literature from several different countries to provide a comprehensive overview of the subject and contains many links to other sources of information and additional resources.
Numerical reasoning and data interpretation tests are routinely used in recruitment procedures. These tests represent a considerable challenge for many candidates, and the prospect of facing them can be daunting. How to Pass Numerical Reasoning Tests is a valuable resource for anyone who needs to brush up on their math skills. An overview of the basics is followed by a step-by-step guide to numerical tests, including fractions and decimals, rates, percentages and ratios, and proportions. This revised edition is full of useful tips to help the reader understand and answer questions without using a calculator.
There are many approaches to researching the difficulties in learning that students experience in the key areas of literacy and numeracy. This book seeks to advance understanding of these difficulties and the interventions that have been used to improve outcomes. The book addresses the sometimes complementary and sometimes contradictory results, and generates new approaches to understanding and serving students with difficulties in literacy and numeracy
With Big Brys BBQ You Will Learn Everything You Need To Know About Western style Barbeque. Big Bry Is A True Cowboy: An Ex-professional Bull Rider, Hunter And All American Guy. Hes Kind, Informative And Even A Little Silly At Times. Titles And Recipes Accompany His Guidance, So Anyone Can Follow Along. Big Brys Western style BBQ Teaches The Average Person Professional Santa Maria Barbequing Techniques
Written in a superb jargon-free style, this book offers important insights into the often confusing world of numeracy. By looking at learning difficulties in maths from several perspectives, including the language of mathematics, thinking styles and the demands of individual topics, Steve Chinn delivers a comprehensive yet succinct text which will become an essential classroom companion to anyone who uses it.
For Math Aficionados From All Walks of Life THE LITTLE GREEN MATH BOOK is based on a simple but powerful observation: Individuals who develop outstanding math and numeracy skills do so primarily by mastering a limited number of the most important math principles and problem solving techniques, which they use over and over again. What are these recurring principles and techniques? The answer to this question is the basis of this book.
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...References available on request.Algebra is a subject which is critical that a student do well in. The ability to master this subject will greatly affect the students performance in all subsequent math classes. The concepts in this course build upon one another Algebra 2 delves deeper into the concepts and skills introduced in Algebra 1 as well as introducing analytical geometry.
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Franklin, MA PrecalPre-calculus is a big amorphous field that varies a lot from school to school. In most places, it includes trigonometry, analytical geometry, and an introduction to limits, although limits are strictly speaking part of calculus. It's not unusual for some courses to include solid geometry and advanced algebra, such as synthetic division, sequences, and series.
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Synopses & Reviews
Publisher Comments:
Study faster, learn better-and get top grades with Schaum's Outlines
Millions of students trust Schaum's Outlines
Use Schaum's Outlines to:
Brush up before tests
Find answers fast
Study quickly and more effectively
Get the big picture without spending hours poring over lengthy textbooks
Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!
This Schaum's Outline gives you:
A concise guide to the standard college course in statistics
486 fully worked problems of varying difficulty
660 additional practice problems
Synopsis:
About the Author
Murray Speigel, Ph.D., was Former Professor and Chairman of the Mathematics Department at Rensselaer Polytechnic Institute, Hartford Graduate Center.Larry Stephens, Ph.D., (Omaha, NE) is Professor of Mathematics at the University of Nebraska and is also the author of several books.
"Synopsis"
by McGraw,
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TH432 Advanced Calculus
Course Description
A look at sets, functions and the real numbers. Topics include the Completeness axiom, cardinality and Cantor's Theorem, LimSup and LimInf; the topology of R1 and R2, open sets, limit points, compactness and the Heine-Borel Theorem, continuous functions properties, uniform continuity, the Mean-Value theorem; the Riemann integral and the Lebesgue Measure.
Learning Outcomes
Demonstrate proficiency in correct formulation and proving theorems covered in the class.
Be able to show different ways to disprove incorrect mathematical statements on concrete examples.
Have clear understanding and strong awareness of mathematical concepts covered in this course and be able to solve problems formulated in terms of these concepts.
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You are right about the TI-89, it actually has a software built-in. You might opt for TI-84.
Also, there might be another constraint as the main purpose for your consideration, eg you might think what after the buy, it costs pretty high, if you can find some relatives to help you the cost then it'll be fine also for you, won't it ? I think its fine. But you need to clearify why your hesitation all up.
barnaby
#3
Dec30-07, 07:19 AM
P: 17ghost02
#4
Dec31-07, 03:07 PM
P: 47
Graphing Calculator: - TI84 vs Casio CFX9850GC+
I hear Ti's are easy to use. I versatility would more than likely go to the Ti because there are so many programs you can use for it.
Jekertee
#5
Jan1-08, 03:50 AM
P: 44
Quote by barnabySorry I didn't understand ,
easy to use due to familiarity
most calcaultor are made easy for students to use
if the calculators are for complex computation then choose the more functioality since the simple one would completely refuse under whatever circumstances
also it takes TOO long for you to just look and hesitate, if you are not decisive, then ask someone in your class who has more experience to pick one for you.
ghost02
#6
Jan1-08, 11:32 AM
P: 47
Jekertee had the best advice, ask someone in your class.
stewartcs
#7
Jan2-08, 07:57 AM
Sci Advisor
P: 2,283
Quote by barnaby
I'm about to buy a graphing calculator, and I don't know whether to get the Texas Instruments TI-84 (Silver Edition), or the Casio CFX9850GC+ (which has the added frivolity of a colour screen).
I can't get the TI-89, because it has algebra software built in, and so I'm not allowed to use it in an exam...
Your opinions, please?
I personally like the TI-84, but mainly because I'm familiar with using it and not the Casio brands.
The color of the screen to me doesn't matter that much just so long as the calculator is robust and has full functionality.
nanoWatt
#8
Jan7-08, 08:18 AM
P: 89
I just read that about your not being able to have algebra software built in.
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Open Calculus is an exportable distance-learning/self-study environment for learning calculus.
Embodied in this open source project is a calculus text, online homework problems, videotapes
of worked examples, and more, which have been organized and linked together in a flexible fashion.
That's Calculus
That's Calculus
A video review of basic calculus concepts, including chemistry applications
such as reaction times and radioactive decay.
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Mathematics For IIT- JEE 2011- 12: Algebra
Mathematics For IIT- JEE 2011- 12: Algebra Book Description
Mathematics for IIT ??? JEE, a Cengage Learning Exam Crack Series, is based on the latest pattern of IIT ??? JEE. A thorough understanding of the basic concepts (in all areas of mathematics) and their application is important for the JEE aspirants. This series of five books covers topics in all the areas of mathematics in a conceptual and coherent manner. The illustrative approach followed in this series is aimed at facilitating mastering of the concepts of mathematics with the help of a variety of solved exercises reflecting the latest pattern of IIT ??? JEE. This series would be highly beneficial for the aspirants in their preparations for the Joint Entrance Examination.
Key Features of the Series.
Enhances the understanding of the concepts of mathematics with a large number of illustrations and examples.
Includes questions and problems from previous years??? IIT ??? JEE papers, which help students understand the pattern of the questions asked in the examination.
Popular Searches
The book Mathematics For IIT- JEE 2011- 12: Algebra by Ghanshyam Tewani, Ghanshyam Tewani
(author) is published or distributed by Cengage Learning India [8131513424, 9788131513422].
This particular edition was published on or around 2010
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On Core Mathematics
On Core Mathematics for Grades 6–12 is a complete program for transitioning to the Common Core State Standards with interactive, real-world applications that help students deepen their understanding of crucial math concepts, while addressing the Common Core Curriculum and the Standards for Mathematical Practice. This program allows students to not just "do the math" but also to "understand and explain" their math.
On Core Mathematics helps prepare students for 2014 Assessments by developing their procedural, application and critical thinking skills.
Embedded strategies and lesson background notes for all topics within the Teacher's Editions ensure that you are implementing the Common Core State Standards in the spirit that was intended
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books.google.ch - This... Geometry
Computational Geometry: Algorithms and Applications
This and techniques from computational geometry are related to particular applications in robotics, graphics, CAD/CAM, and geographic information systems. For students this motivation will be especially welcome. Modern insights in computational geometry are used to provide solutions that are both efficient and easy to understand and implement. All the basic techniques and topics from computational geometry, as well as several more advanced topics, are covered. The book is largely self-contained and can be used for self-study by anyone with a basic background in algorithms. In the second edition, besides revisions to the first edition, a number of new exercises have been added.
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Review: Computational Geometry: Algorithms and Applications
Nutzerbericht - Shawna - Goodreads
It's a great text book, but asking me if I liked reading it is like asking a typical kid if they particularly enjoy eating broccoli. The Algorithms are laid out rather well, though I did need a ...Vollständige Rezension lesen
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Full Search
One of the best ways to succeed in Algebra is to practice taking real test questions. This ebook contains over 1,000 problems on Algebra divided into thirty-two chapters. Try the problems. Check your answers. With a little Practice, Practice, Practice, you'll be Perfect, Perfect, Perfect. Good Luck!
INCLUDES UNLIMITED USER EDUCATIONAL SOFTWARE SITE LICENSE FOR YOUR SCHOOL TO ACCOMPANY THIS EBOOK!
Mathematics Principles Teachers Pack V10. A combined eBook and educational software package at a tiny fraction of the previously published price.
This eBook introduces the related subjects of Pythagoras' theorem, trigonometry and similarity, as Pythagoras' theorem relates to all right-angles triangles, trigonometry as it relates to angles and ratios of sine, cosine and tangent in right-angled triangles, angles of elevation and depression as well as similarity and congruence
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Computer Science - Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to computer science, today more accurately a separate discipline that considers a number of rather
mathematical topics. In addition to computability questions arising from many problems in discrete
...more>>
Computing with the EDSAC - Ivars Peterson (MathLand)
The celebration earlier this year of the fiftieth anniversary of the unveiling of the ENIAC, the first electronic, general-purpose computer, has focused attention on the early history of computing. In the 1940s, there were no computer scientists, no software
...more>>
Condorcet.org - Blake Cretney
Theories on voting and social choice. Learn about an electoral method called "ranked pairs" and download software to tabulate other voting methods. The Election Methods Resource enumerates "single winner" and legislative approaches to running elections.
...more>>
Conference Board of Mathematical Sciences (CBMS)
The Conference Board of the Mathematical Sciences is an umbrella organization consisting of sixteen professional societies all of which have as one of their primary objectives the increase or diffusion of knowledge in one or more of the mathematical sciences.
...more>>
Confronting Technology - Lowell Monke
This site provides a variety of resources critically examining the relationship between human beings and technology, with specific resources on the way computers are used in education. They include: an annotated bibliography, a list of documents available
...more>>
CONNECT: Everyone can do Math and Science - Colorado
Colorado's NSF-funded statewide systemic initiative in mathematics and science. CONNECT is charged to provide support and leadership to increase the achievement of all Colorado students in mathematics and science, kindergarten through baccalaureate (K-16).
...more>>
Connexions - Rice University
Connexions is a non-profit start-up launched at Rice University in 1999 that aims to reinvent how we write, edit, publish, and use textbooks and other learning materials. It is a global repository of educational content that can be described in four words
...more>>
Consortium for Mathematics and Its Applications (COMAP)
A non-profit organization offering multidisciplinary and academically rigorous curriculum materials and teacher development programs based on mathematical exploration of real-world problems. Developers of the PBS television series "For All Practical Purposes:
...more>>
The Constants and Equations Pages - Jonathan Stott
A growing reference resource providing alphabetically listed categories of some of the more important and useful aspects of maths and special sections on numbers, algebra, trigonometry, integration, differentiation, and SI units and symbols, with in addition
...more>>
Constructing Semi-Regular Tilings - Kevin Mitchell
A document based on a talk given at the Spring 1995 Meeting of the Seaway Section of the Mathematical Association of America. Contents include: Introduction and Historical Background; Notation and Definitions; General Theorems; Hyperbolic Results; and
...more>>
Constructor - Soda
Constructor animates and edits two-dimensional models made out of masses and springs. The springs can be controlled by a wave to make pulsing muscles, and you can construct models that bounce, roll, walk, etc. Try some of the ready-made models or build
...more>>
Continued Fractions: an Introduction - Adam Van Tuyl
A brief introduction to the field of continued fractions, including some basic theory about the subject; the history of continued fractions, tracing some of the major developments in the field in the past 2500 years; some interactive applications that
...more>>
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Mathematics
UPPER SCHOOL
'Iolani's mathematics curriculum is both traditional and innovative. The basic skills of arithmetic, algebra, geometry, and trigonometry are emphasized and current technologies are integrated throughout grades 7-12.
All students must satisfactorily complete Algebra 2 in order to graduate and must earn credit in mathematics through their junior year. An honors program is available for those exceptionally gifted in mathematics, and Advanced Placement Calculus is usually elected by those who have completed Precalculus as juniors.
Acceleration in the Mathematics department's curriculum is possible through approved summer school courses. Such acceleration is based on the recommendation of a student's current mathematics teacher, counselor, and the Mathematics Department Chair to ensure that the student's best interest is met.
LOWER SCHOOL
The goals of the K-6 mathematics program are to provide each student with a firm foundation of basic skills and to encourage each student to use logical and independent reasoning when applying these skills to solve mathematical problems. Lessons foster intellectual curiosity as teachers strive to encourage an atmosphere of success. The curriculum emphasizes problem-solving and logical thinking skills as well as computation skills. Writing skills are used to create word problems and explain how answers are formulated.
The department's spiraling curriculum addresses the needs, abilities, and interests of the students. Concepts introduced at one grade level are reviewed and reinforced at the next. Classroom lessons often relate to real-life situations. Listening and discussing are important parts of learning. Computer usage enhances the learning process as well as enriches the concepts taught.
Grades K-2 use materials gathered or developed by the teachers to meet the needs of the students. Hands-on activities abound at each grade level. Children work independently and in groups. Learning takes place in and out of the classrooms as children learn basic addition and subtraction facts as well as geometry, measurement, time, and money. Brainteasers encourage critical and creative thinking.
The grades 3-6 curriculum focuses on strengthening problem-solving skills in addition to emphasizing accuracy in computation. Students do well in the Continental Math League, which is administered in schools nationwide. Participation in the Math League maximizes students' opportunities to improve their math skills. In grade 3, students add multiplication and division to their list of concepts learned and apply them to problem-solving experiences. In grades 4-6 concepts that were previously covered are reviewed and further developed, while new concepts are introduced. Math vocabulary, estimation skills, and critical thinking receive greater emphasis.
Math is integrated into the curriculum whenever possible. For example, as second graders learn about immigrants and the Statue of Liberty, they review measurement. Students walk out the length of the statue on the football field to appreciate its dimensions. As fourth grade students learn about ecology in social studies, they take water tallies to better understand their water consumption and how they can conserve this precious resource. Experiences such as these build a lifetime interest in mathematics.
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Book Description: This book shows how to derive, test and analyze numerical methods for solving differential equations, including both ordinary and partial differential equations. The objective is that students learn to solve differential equations numerically and understand the mathematical and computational issues that arise when this is done. Includes an extensive collection of exercises, which develop both the analytical and computational aspects of the material. In addition to more than 100 illustrations, the book includes a large collection of supplemental material: exercise sets, MATLAB computer codes for both student and instructor, lecture slides and movies
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This program is approved for inclusion in Google Play for Education! It is design for tablets and phone devises! Math in One graphing calculator can evaluate any mathematical expression of any length and complexity that includes real or complex numbers. It can operate in decimal or common fractions format. It graphs in Cartesian, polar coordinates or parametric equations. Expressions can be entered in editor text box Input Output Display (IOD) and then edited in the middle of the string (text) on any line. The calculation execution can be performed from any line in (IOD). If a user makes an unsupported entry during the operation of this software, the calculator will generate an error message and explanation. The help is built in to the calculator (Alt 0 - cm, help) and available on line. It also includes a uniquely designed Unit Converter, Financial Analysis (savings, loans, bonds) and can save Graphs, Memory, Expressions and IOD in to a File. In Cartesian coordinates, plotted multiple graphs can be moved and resized. Function values may be displayed for a specific independent variable. Tracing the pointers on a screen, one can find zeros, minimums, maximums and intersections of functions. Function's first and second order derivative can be added to the graph display. Draw tangent or perpendicular line to the existing function at select point or line crossing two points on one or two functions. Calculate intersection of two functions and area bounded by one, two or three functions. The Unit Converter has 19 different categories of units of measurement. There are 20 SI prefixes that can be applied to any unit. It supports 170 unique units, 1990 derived units, and when the prefixes are included there is a combination of 43,200 different units that can be converted. Any number in calculator's IOD can be moved to UC, converted and then replaced. In addition, the number to be converted can be edited anytime directly in UC. It recognizes 16 operators, over 60+ basic functions that are calculated in complex numbers, and 85 mathematical and physical constants(e.g. "trigonometric, hyperbolic, logarithmic functions and there invers", "probability functions" "beta function", "gamma function", "error functions", and more special functions, " logical operators like exclusive or (XOR)", "Planck's constant", "atomic mass constant", "Avogadro's number",...). Finds zeros of any function in real or complex domain. Evaluates derivatives up to nine order and calculates integrals. Function's first and second order derivative and Integral can be used in expression. with no limitation on the number of memories. Contains additional memory known as "Expressions" to store mathematical formulas that can be used in applications and graphing functions. Option menu/Settings: - Screen On – Keep screen on when calculator is in use - Text Display – Font Size - Title bar off- Do not display title bar in a main view. (Android v4.2 can use title bar or 'Alt 0' to get to custom menu) - Pull Down Menu – Font Size - Display Calculation error - Fraction display format - Decimal separator selection (dot vs. comma) - Haptic Feedback –vibration Bought this after trying several others that just didn't do what I wanted. The functionality is great, use it all the time.
User reviews
A Google User A Google User April 23, 2012
Great app Bought this after trying several others that just didn't do what I wanted. The functionality is great, use it all the time.
SimilarMathAlly Graphing Calculator + has all the features of the free version plus:
-View Step-by-Step how the answer was calculated by clicking on the result (see screen shot). -Parametric and Polar coordinate graphing. -New All Cartesian graph mode which can graph any equation even if it can't solve for x or y. -Create custom keyboards. -Create custom keys as expressions or functions. -Save graph setups and screenshots. -Create workspaces to organize and permanently save calculations. -Additional matrix operations: reduced row echelon form, LU and QR decomposition, eigenvalues, and eigenvectors -Graph up to 6 equations (free limits you to 3). -No Ads -Since there are no ads, no internet permission is required.
Q. How do I view the Step-by-Step screen for a problem? A. First enter the problem into the calculator and hit enter to see the result. Then click on the result. Make sure you are clicking on the result and not its input, as clicking on its input will paste the input into the current entry field. Also, Step-by-Step must be enabled in the settings when the result is calculated. By default Step-by-Step is enabled.
If you are not completely satisfied with your purchase and you email me at [email protected] within 14 days of your purchase, I will give you a refund. Please include your order number in the email. (Google play only gives you 15 minutes to automatically get a refund, I think this is too short). You can only request a refund once.
If you find any bugs or have questions, please email me.
Explanation of permissions:
Storage - Needed for app to be able to read/write to external storage. This allows users to transfer custom keyboards between devices.
It provides a full set of commonly used scientific calculation functions and supports the following unique features:
- Check history results for re-editing purposes; - Draw graphs corresponding to the math equations you input, such as Cartesian y(x) and x(y), parametric x(t), y(t) and polar r(θ)equations; - Allow users to choose from the variable bounds and background color to give a vivid display for a deeper understanding of the equations.
Still hesitate? Try the lite version to verify whether it meets your needs fully.
Kindly take note that the lite version has some restrictions, such as complicated scientific functions like sin, log are not supported.Electronic Scientific calculator with complex numbers and graphing of user-defined functions. It is designed to calculate problems in science, engineering, and mathematics, It is widely used in both education and professional settingsThe VTGraphicCalculator is a powerful calculator. It will satisfy all varieties of user levels from basic to advance. VTGraphicCalculator allows the user to define the equations, functions and to draw their graphs at the same time. Those defined equations are saved and the user can reuse them later for their convenience. With the free version, the user has some limitations but still the user can get VTGraphicCalculator Pro to remove ads and support full controls.
VTGraphicCalculator includes the following features: * Acts As a Normal calculator with many standard functions such as sin, cos, tan, arcsin, arccos, sinh, cosh, and so on . . . * The user can Save history and defined functions. * Supports the drawing of many graphs (only in the Pro version). * Units convertor includes Length, Weight, Volume, Temperature, Time, and more. . .
Scientific Calculator with 2D and 3D graphing and base conversion. ProCalcApp - An original scientific calculator. It is able to calculate complex mathematical equations very accurately. What makes this calculator different is its simplicity. It is much easier to use than its competitors and any input can immediately be converted to 2D or 3D graphs. Product Features: Scientific and engineering calculations Complex numbers can be inserted and stored (e.g.(radians&angle) or (real+imaginary)) 2D and 3D graphing Base Conversion Scientific Constants Easy store and recall
A scientific calculator with result history. Easily scroll through questions to keep track of operations.
Features include: List of previous questions and answers, Long click on result to input question, Swipe through pages, Click on result to input answer, Graphing, Quadratic equation solver, Landscape view for all activities, Keyboard support, Most trigonometric function, Completely Free, No advertisement!!!.
MagicCalc Classic contains the same functions present in MagicCalc, but using compact keyboards, to feel like in real calculator. MagicCalc Classic is a full functions full screen scientific and programmable graphing calculator for Phones and Tablets. - One Input Screen - Product FeaturesTips: -sto() function may be used for infinite series/mathematical induction, Newton's Method, etc.
Notes: -When tracing functions with fractional powers, tangent line is reversed for negative x-values. -Odd-numbered roots with real solutions are evaluated as a real number (e.g.: (-8)^(1/3) = -2), unlike other calculators, and computer algebra systems such as Wolfram.
Essentially, this app takes a sample probability, and then asks for a particular outcome one may want; it then calculates the exact, at most, at least, fewer than, and more than chances of obtaining such an outcome.
Not only does this app calculate the chances of a particular outcomes, but it also shows the probable possibilities on a distribution graph FunctionMore from developer
This program is design for tablets and phone users! It can evaluate any mathematical expression of any length and complexity that has real or complex numbers. Expressions can be entered in editor text box (IOD) and then edited in the middle of the string on any line. The calculation execution can be performed from any line in Input Output Display (IOD). Recognizes 16 operators, over 60 basic functions that are calculated in complex numbers, and 85 mathematical and physical constants (e.g. "trigonometric, hyperbolic, logarithmic functions and there invers", "probability functions", "beta function", "gamma function", "error functions", and more special functions, "logical operators like exclusive or (XOR)", "Planck's constant", "atomic mass constant", "Avogadro's number",...).. There is no limitation on the number of memories that can be stored. If a user makes an unsupported entry during the operation of this software, the calculator will generate an error message and explanation. The help is built in to the calculator and available on line.
The Math in One Version 3.0 Programmable Graphing calculator is one of the most comprehensive calculators on the market and with its many unique features, it will be sure to meet almost all of your needs. To allow users to define their own personalized functions, this calculator has a built in programming language that can perform, recursion, loops, conditional statements, and selections. Users can also define arrays/vectors; and there are over 25 built-in array/vector functions such as eigenvalues eigenvectors, inverses, solving n-linear equations that can be used. This calculator has a brand new face design for your easy use with the ability to warp its dimensions to any size on any device (phone, tablet). For your convenience, every key/button in the calculator has a description (press key for one second) that includes the definitions of functions, examples of how to use an operator/function/technique, and explanations of abbreviations. To help users easily explore this calculator's extensive capabilities, there are many built in "Help Explanations" on the device as well as on our website at For your future reference, Math in One v3.0 can also save arrays, programs, graphs, expressions, and solutions to the calculator's memory in the text files format (graphing in png file). Math in One Version 3.0 contains all features of its predecessors in a new and improved format. It still includes a list of over 85 constants (such as Planck's time and the atomic mass constant) and over 100 functions (from logarithmic and hyperbolic functions to various probability-distribution functions like gamma and beta functions) . In addition to its ability to evaluate a mathematical expression- of any length and complexity that includes real or complex numbers and can incorporate logical operators, it has a Unit Converter with over 19 categories of units of measurements and 20 SI prefixes and the capacity to perform Financial Analyses (savings, loans, bonds). For your many graphing needs, this calculator can display multiple plots at once in Cartesian or polar coordinates for expressions that include parametric equations. You can easily find the zeros, minimums, maximums, tangents, and first/second derivatives of your graphs as well as the intersections of your graphs or the area bounded by up to three functions. Up to 9th order derivatives can be calculated in addition to integrals. This calculator can also display the calculation error of any function or expression in the Significant Figure notation you choose. Examples of its other unique capabilities include its capacity to convert between binary, octal, decimal, and hexadecimal number systems, and it can execute trigonometric function calculations in radians, degrees, or gradients. If a user makes an unsupported entry during the operation of this software, the calculator will generate an error message and explanation. For more details, please visit us at
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Mathematics Review/Preview
5th grade Pre-Algebra • Pre-Algebra • Algebra • Geometry • Algebra 2
Prepare your child for next year or review last year's mathematics. Strengthen your child's foundation of algebra; it's the base for all future mathematics classes. We review next year's textbook, chapter by chapter, and introduce many new concepts every day. This way when they are in class, they are already familiar with the concept. Private collaborative Groups available.
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develop foundational math skills needed for higher education and practical life skills with ACE's Math curriculum. This set includes Math PACEs 1049-1060, which covers:
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Emily Cosby
LRNS 50 Basic Math
In this class, students have the opportunity to learn math in a positive, non-threatening environment using their preferred learning style. Many students who have completed this course have left with a new attitude about math and a more positive feeling about their math abilities. If you are serious about learning math and are willing to work, you will improve your math skills in LRNS 50. This is a variable unit, pass/no pass class that prepares you for future math classes required for an AA/AS degree. Modules range from whole numbers to pre-algebra.
ONE SECTION OF THIS CLASS IS TAUGHT ONLINE. See the Online LRNS 50 link on the left side of this page for more information.
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★ New Topics and Tests will be added throughout the year, and we welcome suggestions and requests from students.
Exam Boards mapped include: · AQA · OCR · Edexcel · WJEC · CIE
Copyright (c) Examstutor Limited 2011 A-Level Biology exams. The A-Level Biology app from LearnersBox combines the best that teachers have to offer with what students want. The A-level Biology app from LearnersBox contains over 90 pages of material compatible with all exam boards. Even the most complex of processes have been broken down to allow you, the student, to be able to learn the most difficult of concepts in the comfort of your own palms.
This is the first part of A-Level Maths e-notes. It includes several topics included in A-Level maths. (Numbers, Surds, Polynomials, Modulus, Inequalities, Trigonometry, Trigonometric identities, Triangles, Small angles, The Straight line, Functions, Limits, Differential Calculus, Higher Order Derivatives, Integration, Areas under curves, Logarithms, Rules of differentiation, Implicit Differentiation). Select a topic from the list or flip through the pages in portrait or landscape mode. Designed for all-size devicesThis is a free trial version of the A Level H2 Mathematics Quick Revision Tips. It consists of 40 tips spanning 5 pure math topics (complex numbers, graphing, arithmetic/geometric progressions, vectors and differentiation). To get updates on the full version for this app and other apps, please visit for more details.
This app contains useful diagrams and info on key topics for Business Studies. It is designed to let you see how ilearnbusiness will run on your phone. If you like it you can upgrade to ilearnbusiness.
IGCSE Business studies revision notes at your fingertips. Business studies notes specifically written for CIE IGCSE Business Studies by experienced teachers.Ideal for revision on the go. This app is an extension of the popular website
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Welcome to the world's largest free online resource centre for IGCSE, GCSE, A Level, IB, AP Economics, Business Studies, Accounting & ICT revision. Here you will find a variety of resources specifically written for these examination boards. Most of the websites are selling these resources at exorbitant prices....but at dineshbakshi.com you get all these resources FREE of cost. Google knows this and that is why we are listed on the top, when it comes to search engine results for IGCSE Economics, Business studies, Economics, Accounting and ICT. We thank all the teachers and students who have visited us on a regular basis and made us so popular in such a short span of time (launch 2008). Cambridge International Examination website has listed us on their recommended subject resource list for Business studies, economics and accounting. This website is dedicated to IGCSE, GCSE and AS-A-Level, IB Business studies, AP Economics, Accounting and ICT. You will find hundreds of interactive quizzes, crosswords, gap fillers, match up quiz, Multiple choice quizzes, revision notes, Worksheets, Business Case studies, Mind maps, flash games, Business news and videos, Cambridge news and lots of goodies which will make learning more fun. Though this website is focusing on Cambridge International Examination (CIE) curriculum, it will be equally useful for the following examination boards AQA GCSE and AS-A Level Business studies, Economics, ICT OCR GCSE and AS-A Level Business studies, Economics and ICT Advanced Placement - AP Economics IB Diploma Business and Management, Economics Edexcel GCSE, IGCSE, AS-A Level Business studies, Economics and ICT. WJEC GCSE, AS-A Level Business studies, Economics and ICT and other curriculum across the globe. Another USP of this website is it's design and content which has been developed by a team of experienced teachers having indepth knowledge of IGCSE, A Level , IB and AP curriculum, so, you will find really useful stuff here. Just sit back and enjoy!!
Autology is a revolution in digital learning for UK students aged 11-19, ideal for exam revision or use throughout the entire school year. Offering amazing value for only £0.99 a month or £9.95 for one year, Autology gives students access to a vast library of over 450,000 resources including GCSE and A-Level relevant videos, revision guides and online activities, all searchable by topic, subject and key stage.
Free to download, this trial version contains 30 free searches.
Features:
**Huge library from leading education providers** Autology provides a wealth of education resources via partnerships with the UK's leading education providers, including over 500 interactive lessons, 2,800 leading education sites, plus thousands of videos and images.
**Incredible Value** Why spend a fortune on books? Autology gives students unrestricted access to a massive amount of resources for one small monthly payment of £0.99 or £9.95 a year.
**Super Intelligent & Relevant** Intelligent, context sensitive search provides accurate and age appropriate results from within the Autology learning library, all linked to the UK national curriculum.
**Trusted by teachers and parents** Autology are the UK leaders in digital learning with their award winning online service being used in over 500 UK schools. In school trials, Autology has been shown to increase assignment grades by 1-2 grades. Autology is also supported by teachers & is a sponsor of NAACE (UK's main body for ICT in education)
**Safe and Secure** Unlike web search, autology is a completely closed system and only returns results from within its own education library, meaning that children are never shown inappropriate content.
* Visit to sign up for 1600 more questions and solutions from 188 A-Level papers, spanning over 2000 pages and including video demonstrations for over 60 of the subsections. There are 1000+ pages of maths e-text covering Statistics and Pure Mathematics.
This is the second part of A-Level Maths e-notes. It includes several topics included in A-Level maths. (The circle and the parabola, The quadratic equation, The quadratic function, The reciprocal quad. function, Complex numbers, Partial fractions, Proofs by induction, Permutations & Combinations, Series, The binomial theorem, The binomial (series) theorem, Integration by substitution). Select a topic from the list or flip through the pages in portrait or landscape mode. Designed for all-size devices.
Exam shell is an educational application that allows you to take tests. It is specially designed to help students to practice past O-levels and A-levels papers on their Android devices. Acrologix, has developed this application, keeping in mind the growing need of the students and making learning fun and mobile. Exam shell is also a learning tool that can improve your memory and your ability to study effectively.
This application comprises of last ten years of the multiple choice questions from O-Level and A-Level, all organized subject wise, year wise and subject wise. Exam Shell facilitates learning, and improves your actual test scores. It also enables you to take the tests over and over again anywhere at your convenience. This process promotes understanding over rote memorization, which will help you attain better scores.
Features of exam shell:
• User friendly Interface • You can know your score immediately after you finish the exam • Re test, to infinite times • Re-test yourself on your favorite paper • Displays the correct answer instantly • Option to skip the question • Revision of Wrong and Skipped Questions • Has more than 10 years papers complied • Through this APP a better chance for students to get all A's in GCE O'Level and A'Level exam • The contents comprises of Cambridge International Examinations (CIE) OLevel & ALevel past papers • Best mobile app for O-levels & A-levels & students
If you like this app, please support us with a positive rating. Thank you!
NOTE: MAKE SURE YOU ARE CONNECTED WITH INTERNET IN ORDER TO DOWNLOAD THE EXAM PAPER AFTER DOWNLOADING YOU CAN PRACTICE THE EXAM OFFLINE AS WELL.
Advanced Level Physics made easy and fun, as it is displayed on a pack of cards, with each card teaching a fact or a skill.
Too busy to revise? Need Memory Cards? Read an A-Level Physics revision card in odd moments during the day, so you are ready for exams and homework, but can still party at night.
For use in all countries, as essential subjects, like Electronics and Ideal Gases, are in almost all relevant, pre-university Physics exams.
This app is also suitable if you work, as it gives you the facts you need at your fingertips. Or it can be used as a Physics text book that fits in your pocket.
It is part of an established range, as it is based on the course notes of the best-selling LCL Mega Physics educational software course. This range includes the app 'A Level Maths Pack' and its PC CD, LCL Mega Maths. Its features are:
* It covers all the essential areas e.g. Electricity, Waves and Mechanics. Some of the Mechanics is also in the Mathematics specifications (syllabus).
* There are around 90 cards, as each subject has up to 8 cards. All the essentials that you must know, explained simply.
* This app includes 2 versions, one for phones and another for tablets. The tablet version has double-size cards.
* Instant access to every card with one finger movement.
* You can also make optional adjustments, like changing print size.
* Easy to use.
* New Features include: Special Scroll that keeps cards card-shaped; Restore the card with a tap on the screen; Even a version for screens that are not touch-sensitive; Instant adjustments reaction; Suitable for all Android phones and tablets.
Advanced Level Mathematics made easy and fun, as it is displayed on a pack of cards, with each card teaching a fact or a skill.
Overwhelmed by tomes of waffle? Too busy to revise? Read an A-Level Maths revision card in odd moments during the day, so you are ready for exams and homework, but can still party at night.
For use in all countries, as essential subjects, like Algebra and Calculus, are in almost all relevant, pre-university Math exams.
This app is also suitable if you work, as it gives you the facts you need at your fingertips. Particularly as it includes Critical Path Analysis and other business Mathematics, which are now part of the A Level syllabus.
It is part of an established range, as it is based on the course notes of the best-selling LCL Mega Maths educational software course. Its features are:
More from developer** This version of the app is intended for use by subscribers to examstutor.com, and is initially set to demonstration mode, and can be fully unlocked by entering your examstutor login details.
** studiesNEW - access to the Psychology Study Room on examstutor.com now included, an online pocket textbook★ This version of the app is intended for use by subscribers to examstutor.com, and is initially set to demonstration mode, it can be fully unlocked by entering your examstutor login details, giving access to further Driving Test support through examstutor.com including a fully illustrated Audio Podcast of the complete Highway Code.
★ A paid version of this app is available separately in the Android Market it can then 290 unique multiple-choice test questions, English Examstutor is a new A Level English Literature question bank.
A level English Literature is an advanced qualification studied by UK and international students prior to attending University. This app can be used by anyone wishing to develop their understanding of English Literature.
Features include: · Topic Tests: Covering a growing range of examined
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Differential Equations: A Primer for Scientists and Engineers
Publisher:
Springer
Number of Pages:
263
Price:
49.99
ISBN:
9781461472964
This book caught my attention immediately, right from the preface. The author took the unusual step of polling students to find what they wanted in a textbook, and then writing an introduction to differential equations that met all those requirements. The students said they wanted a book that:
Was easy to follow and not excessively verbose;
Did not talk down to readers;
Kept theory to a minimum;
Did not embed computational devices in the instructional process;
Was "slim".
Of these I only found the one about computation a little surprising. The students agreed that they did not learn much using any of the standard software. (I also note in passing that being verbose is apparently OK, but not excessively so.)
The last time I taught an introductory differential equations course — several years ago — I used an early edition of Simmons' Differential Equations with Applications and Historical Notes. (There is now a thoroughly revised edition called Differential Equations: Theory, Technique, and Practice.) I am still very fond of the book, but the students hated it. I think they had expected a book much like the current one.
One could debate the question of the value of "give them what they want" versus "give them what you think they need", but I expect the answer is not clear-cut and probably very much situation-dependent. Having chosen one path, the author of this book does a does a very creditable job of providing the basic material of ordinary differential equations. He assumes only basic courses in differential and integral calculus with reasonable skill in algebraic manipulation.
The book is largely aimed at average students in mathematics, science or engineering. The author suggests that stronger students can use the text as a bridge to more specialized books or more advanced courses. The topics are quite standard: first order equations, linear second order equations, higher order linear equations, and systems of differential equations. There are two separate chapters on mathematical models — one with first order equations, and another with second order equations. The final two chapters discuss the Laplace transform and series solutions of differential equations. Only the treatment of series solutions near singular points is a departure from the basics.
There are many exercises. The majority are computational and routine. Solutions to odd-numbered exercises are provided. The author uses Mathematica in some of his examples to verify solutions. A few exercises ask the students to do the same.
Bill Satzer ([email protected]) is a senior intellectual property scientist at 3M Company, having previously been a lab manager at 3M for composites and electromagnetic materials. His training is in dynamical systems and particularly celestial mechanics; his current interests are broadly in applied mathematics and the teaching of mathematics.
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4. Equations and Graphs: Learning the lingo
Chapter 4. Equations and Graphs: Learning the lingo
Communication is vital. You're already off to a good start in your journey to truly think like a physicist, but now you need to communicate your thoughts. In this chapter, you're going to take your first steps in two universal languages - graphs and equations - pictures you can use to speak a thousand words about experiments you do and the physics concepts you're learning. Seeing is believing.
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MAT-300 - Math Tune-Up
Math Tune-Up is an individualized, emporium-style course that offers recently graduated students the opportunity to work at their level to refresh their math skills in preparation for re-taking the college?s math placement exam. The class will include a diagnostic exam to determine an individual plan, classroom work, tutoring support, an advising component, and the opportunity to re-take the math placement exam. Students will participate in classroom activities and independent work designed to re-activate math skills and connections. Based on the results of the post-course placement exam, students may be able to improve their math placement when they begin their college careers.
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algebra'scool Lives Up to It's Name by Diane S. Kendall,October 24, 2003
I am almost embarrassed to say that my fondest memory of high school algebra is the test I once got back with a 25/100 at the top. Luckily the teacher had reversed the numbers and the grade actually was a 75. Either way a math student like me could have used a bit of the kind of help offered by the DVD series algebra'scool from BestQuest.
Imagine for a moment that some of the characters of Nickelodeon, Sesame Street, and other television series favorites have grown up a bit, are all now in high school, and have discovered the best way to learn something is to teach it to others. Form a mental image of the implications of that composite and you'll at least have an inkling of the upbeat pace, sense of humor, relevant wisdom, and graphic quality of the group of characters - Mr. Frogan and his diverse students - that bring algebra'scool to life. The characters aren't puppets nor are they cartoons (take a gander at the included screen shots to see what they look like), but the cast of algebra'scool has just the right degree of sophistication and always keeps one goal in mind. They want to enliven and enrich the teaching of beginning algebra. And they do a remarkably good job of it for the seventh to tenth grade audiences they aim at.
All the basics of algebra are here interspersed with graphics, manipulatives, calculator activities and animated sequences that focus on making math relevant by relating it to the characters lives -like figuring out what the best angle is for a homemade skateboard ramp. The course is broken up into Units A - F (which can be purchased as a set or individually), and all arrive on DVD so they can be used on a properly equipped computer or with a DVD player and TV. That also means that the units (which have all been aligned to the NCTM Standards, all 50 states' frameworks, benchmarks, and/or standards and multiple textbooks) can be used by individual students to review or catch up, or by a whole class to introduce a new concept or two. It can also be used as the whole course. Instructor's materials include teaching suggestions and blackline masters for guided notes, guided practice, independent practice, additional review and tests.
But besides using DVD, a cool technology that is accessible to most any classroom, the other thing that differentiates this math series is that Mr. Frogan and his class introduce kids to 25 Frogan's Heroes. These "heroes" are people from all walks of life and varying professions, seen through the use of actual footage, who help kids recognize how algebra is used in the real world. This has been done before, but the easy-to-access footage makes it simple to add this important message to a math lesson with little or no fuss.
This series is not just another math textbook enhanced by technology. In fact, I think it was conceived and created just the way it should have been. In other words, the creators knew what technology could do and carefully helped their math educator counterparts come to see how adding a visual and interactive plot and onscreen maniplatives could help all kinds of learners conceive math concepts more concretely and move ahead at their own pace. It's great when the marriage of technology and education turns out to be a love match.
Oh, and by the way, I am getting a second chance at algebra with my seventh grader son. You'll be glad to know I am doing much better this second time around.
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According to OER Commons, 'These are the lecture notes of a one-semester undergraduate course which we taught at SUNY...
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According to OER Commons, 'These are the lecture notes of a one-semester undergraduate course which we taught at SUNY Binghamton. For many of our students, Complex Analysis is their first rigorous analysis (if not mathematics) class they take, and these notes reflect this very much. We tried to rely on as few concepts from real analysis as possible. In particular, series and sequences are treated "from scratch." This also has the (maybe disadvantageous) consequence that power series are introduced very late in the course.'
Talking about quality it is producing better with less waste of money and time. Applying the six sigma can help to reduce...
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Talking about quality it is producing better with less waste of money and time. Applying the six sigma can help to reduce cost of production. Through this web anybody can apply to become menber of ASQ, for training and take online courses about quality and the updating of ISO 9000.
This is a free, online textbook for an introductory course in complex analysis. General topics include Complex Numbers,...
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This is a free, online textbook for an introductory course in complex analysis. General topics include Complex Numbers, Complex Functions, Elementary Functions, Integration, Cauchy's Theorem, More Integration, Harmonic Functions, Series, Taylor and Laurent Series, Poles, Residues, and All That, and Argument Principle. Each chapter from the book can be downloaded as a free pdf file.
This is a free online course offered by the Saylor Foundation.'This course is an introduction to complex analysis, or the...
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This is a free online course offered by the Saylor Foundation.'This course is an introduction to complex analysis, or the theory of the analytic functions of a complex variable. Put differently, complex analysis is the theory of the differentiation and integration of functions that depend on one complex variable. Such functions, beautiful on their own, are immediately useful in Physics, Engineering, and Signal Processing. Because of the algebraic properties of the complex numbers and the inherently geometric flavor of complex analysis, this course will feel quite different from Real Analysis, although many of the same concepts, such as open sets, metrics, and limits will reappear. Simply put, you will be working with lines and sets and very specific functions on the complex plane—drawing pictures of them and teasing out all of their idiosyncrasies. You will again find yourself calculating line integrals, just as in multivariable calculus. However, the techniques you learn in this course will help you get past many of the seeming dead-ends you ran up against in calculus. Indeed, most of the definite integrals you will learn to evaluate in Unit 7 come directly from problems in physics and cannot be solved except through techniques from complex variables.We will begin by studying the minimal algebraically closed extension of real numbers: the complex numbers. The Fundamental Theorem of Algebra states that any non-constant polynomial with complex coefficients has a zero in the complex numbers. This makes life in the complex plane very interesting. We will also review a bit of the geometry of the complex plane and relevant topological concepts, such as connectedness.In Unit 2, we will study differential calculus in the complex domain. The concept of analytic or holomorphic function will be introduced as complex differentiability in an open subset of the complex numbers. The Cauchy-Riemann equations will establish a connection between analytic functions and differentiable functions depending on two real variables. In Unit 3, we will review power series, which will be the link between holomorphic and analytic functions. In Unit 4, we will introduce certain special functions, including exponentials and trigonometric and logarithmic functions. We will consider the Möbius Transformation in some detail.In Units 5, 6, and 7 we will study Cauchy Theory, as well as its most important applications, including the Residue Theorem. We will compute Laurent series, and we will use the Residue Theorem to evaluate certain integrals on the real line which cannot be dealt with through methods from real variables alone. Our final unit, Unit 8, will discuss harmonic functions of two real variables, which are functions with continuous second partial derivatives that satisfy the Laplace equation, conformal mappings, and the Open Mapping Theorem.'
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For students in college-level math courses, revisiting algebra can be a challenge, and learning for it the first time can prove to be tricky as well. This website, created by Professor John Miller of the City College of...
Math Power is a site created by Professor Freedman, a highly acclaimed teacher of basic mathematics. She has several resources to help students of all ages learn pre-algebra and elementary algebra skills. Many sample...
The Annenberg Foundation has been an active part of creating educational and professional development tools and instructional aids for teachers for many years. To reach the broadest audience possible, their Annenberg...
Under the motto, "Show me how, now!" algebasics is a fine online mathematics instructional resource that takes young and old alike through the basics of algebra. The breadth of the material is divided into sixteen...
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Modify Your Results
Integrated Arithmetic and Basic Algebra, Fifth Edition, integrates arithmetic and algebra to allow students to see the big picture of math. Rather than separating these two subjects, this text helps students recognize algebra as a natural extension of arithmetic. As a result, students see how concepts are interrelated and are better prepared for future courses
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More About
This Textbook
Overview
This updated and revised edition of David Joyner's entertaining "hands-on" tour of group theory and abstract algebra brings life, levity, and practicality to the topics through mathematical toys.
Joyner uses permutation puzzles such as the Rubik's Cube and its variants, the 15 puzzle, the Rainbow Masterball, Merlin's Machine, the Pyraminx, and the Skewb to explain the basics of introductory algebra and group theory. Subjects covered include the Cayley graphs, symmetries, isomorphisms, wreath products, free groups, and finite fields of group theory, as well as algebraic matrices, combinatorics, and permutations.
Featuring strategies for solving the puzzles and computations illustrated using the SAGE open-source computer algebra system, the second edition of Adventures in Group Theory is perfect for mathematics enthusiasts and for use as a supplementary textbook.
Editorial Reviews
American Scientist
Joyner does convey some of the excitement and adventure in picking up knowledge of group theory by trying to understand Rubik's Cube. Enthusiastic students will learn a lot of mathematics from this book.
Choice
Joyner has collated all the Rubik lore and integrated it with a self-contained introduction to group theory that equals or, more likely, exceeds what is available in typical dedicated elementary texts.
MAA Online
Adventures in Group Theory is a tour through the algebra of several 'permutation puzzles'... If you like puzzles, this is a somewhat fun book. If you like algebra, this is a fun book. If you like puzzles and algebra, this is a really fun book.
Zentralblatt Math
The book begins with some lecture notes of discrete mathematics and group theory. These theoretical notions are very nicely applied to some practical problems, e.g.: Rubik's cube, Rubik-like puzzle groups, crossing the rubicon, God's algorithm and graphs. The work ends with a rich bibliography and index.
Ian W. Knowles
This is a book on group theory that lives outside the usual rather dry regime of typical mathematics texts. In setting the book squarely among these puzzles,the underlying mathematics comes alive in quite spectacular fashion. The author achieves this goal admirably here. The text is well organized and written in an interesting and very readable manner.
From The Critics
Joyner's text grew out of lecture notes designed to teach discrete mathematics and group theory to university students in an engaging, creative way. The text develops the basics of group theory and creates group-theoretical models of Rubik's Cube-like puzzles. The solution strategy for the Rubik's Cube is covered in some detail; solution strategies for similar puzzles (the 15 Puzzle, the Rubik Tetrahedron, the Rubik Dodecahedron, the Skewb, the Hockeypuck, and the Masterball) are discussed in less detail. Earlier chapters will be accessible to high school students with a strong mathematics background; later chapters are more advanced. The author's specific credentials are not given. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Related Subjects
Meet the Author
David Joyner is a professor of mathematics at the U.S. Naval Academy. He is coauthor of Applied Abstract Algebra, also published by Johns Hopkins, and editor of Coding Theory and Cryptography: From Enigma and Geheimschreiber to Quantum
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Calculus students are presented with a write-pair-share activity that initially involves the construction of a model based on...
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Calculus students are presented with a write-pair-share activity that initially involves the construction of a model based on direct variation and later involves the use of calculus as a means by which to analyze the model. Suitable for either Calculus I or Calculus II students. Note: This project has a sequel entitled Fundamental Theorem of Calculus: An Investigation (listed under Interactive Lectures) in which the Fundamental Theorem of Calculus is investigated via the constructed model.
Calculus students are presented with a write-pair-share activity that leads them to a practical understanding of the...
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Calculus students are presented with a write-pair-share activity that leads them to a practical understanding of the Fundamental Theorem of Calculus. The activity involves analyzing a function that describes eating speed in a hypothetical dinner table experience. Suitable for either Calculus I or Calculus II students.Note: This project has a prequel entitled Calculus of the Dinner Table: Mathematical Modeling (listed under Interactive Lectures) in which students construct the mathematical model for the king's eating speed. This prequel provides an excellent and engaging prelude to this activity.
College Algebra or Liberal Arts math students are presented with a ConcepTest and a write-pair-share activity involving...
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College Algebra or Liberal Arts math students are presented with a ConcepTest and a write-pair-share activity involving Florida's population growth. The activity asks students to decide whether a ten-year growth rate can be divided by 10 to produce the corresponding annual growth rate for each of the ten years. The results show that, while students may have learned that exponential growth is a multiplicative process, their conceptual understanding concerning exponential growth is often a bit fuzzy.
College Algebra or Liberal Arts math students are presented with a Question of the Day and a write-pair-share activity...
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College Algebra or Liberal Arts math students are presented with a Question of the Day and a write-pair-share activity involving U.S. state population growth. Student knowledge (or lack thereof) of the annual growth rates of individual states may be surprising.
College Algebra or Liberal Arts math students are presented with two Questions of the Day and a write-pair-share activity...
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College Algebra or Liberal Arts math students are presented with two Questions of the Day and a write-pair-share activity involving U.S. state population growth. Student knowledge (or lack thereof) of the annual growth rates of individual states may be surprising. In addition, the long-term effects of high growth rates always shocks and surprises students; most have never calculated the mathematical results.
This classroom activity presents Calculus II students with some Flash tutorials involving work and pumping liquids along with...
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This classroom activity presents Calculus II students with some Flash tutorials involving work and pumping liquids along with some simple questions concerning the amount of work involved in pumping water out of two full containers having the same shape and size but different spatial orientations.Students are given opportunities to address this question by means of a ConcepTest and a write-pair-share activity. The results are quite revealing and show that while students may have learned how to perform the necessary calculations, their conceptual understanding concerning work may remain faulty.
This classroom activity presents Calculus II students with some Flash tutorials involving work and pumping liquids along with...
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This classroom activity presents Calculus II students with some Flash tutorials involving work and pumping liquids along with some questions concerning the amount of work involved in pumping water out of two full containers having the same shape and size but different spatial orientations. Students are given opportunities to address this question by means of a write-pair-share activity in which they construct an integral equation and solve for an upper limit of integration.
After covering the standard course material on infinite series and their sums and the Integral Test for series convergence,...
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After covering the standard course material on infinite series and their sums and the Integral Test for series convergence, Calculus II students are given a write-pair-share activity that directs them to clearly explain the difference between a series and its related integral and explain why the sum of the series is greater than the value of the corresponding integral. Afterwards, the instructor employs a Web-based applet that visually displays graphs of both the series and the integral so that students can see the relationship between them.
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Listed below are all of the mathematics classes available to high school students:
Algebra 1
Algebra 1 develops an appreciation for the usefulness of algebra in solving applied problems, and for algebra as a logical extension of earlier mathematical learnings. Students are encouraged to develop disciplined patterns of thought and to perceive the relationship of algebra to other branches of mathematics.
Geometry
Geometry is the study of all types of plane and solid figures and their relationship to each other and to other branches of mathematics. This course aims to develop logical and deductive thinking. It emphasizes problem solving by accepted or proved algebraic and geometric postulates or theorems. The course is designed to prepare the student for more advanced courses in the college preparatory track of mathematics.
Algebra 2
The Algebra 2 course includes a thorough review of the fundamentals of Algebra 1 and the mastery of advanced algebra techniques. It emphasizes 1) the simplifying of algebraic expressions, 2) the solving of more complex equations, and 3) problem solving applications. Algebra 2 is a foundation course for our more advanced math courses. (PREREQUISITE: Successful completion of Algebra 1)
Geometry Foundations/Transition To Advanced Geometry
This is a full-year, two-period course designed to develop foundational components of geometry, such as concepts, skills, applications and reasoning related to the different properties of objects, measurement and important terminology. Upon completion of the instructional strategies, students will be presented with the regular Geometry mathematics course. Geometry Foundations/Transition to Advanced Geometry focuses on creating a solid understanding for student growth into post-algebra experiences.
Statistics
This introductory statistics course emphasizes analytical thinking rather than mathematical derivations. Topics include exploratory data analysis, designing experiments, collecting data, using probability and statistical inference. The course uses a workshop approach in which students utilize different technologies while engaging in discovery learning. (PREREQUISITE: Algebra 2)
Advanced Placement Statistics (weighted 0.1 - Student must take the AP Exam and score at least a "3" to recieve the 0.1 weight value)
Advanced Placement Statistics is a college level introductory statistics course. Topics include exploratory data analysis, designing experiments, collecting data, using probability models, and various methods of statistical inference. The course uses a workshop approach in which students utilizes different technologies while engaging in discovery learning. (PREREQUISITE: Successful completion of Pre-Calculus or currently enrolled in Pre-Calculus)
Pre-Calculus
Pre-calculus is a course in which students gain a thorough understanding of trigonometry, as well as theory of equations, advanced algebra topics and introductory probability and statistics. Emphasis is placed on logical thinking and applying knowledge to different types of problems. Students learn traditional ways to solve problems as well as use appropriate technology. (PREREQUISITE: C+ in Algebra 2)
Advanced Placement Mathematics (weighted 0.1 - Students must take the AP Exam and score at least a "3" to receive the 0.1 weight value)
Advanced Placement Mathematics is a two-credit course offered to juniors or seniors who are interested in teaching mathematics or planning a career in engineering, pure mathematics or other scientific fields. The course prepares the student for the AB Calculus Advanced Placement test. It includes analytic geometry, trigonometry, pre-calculus topics, and techniques and applications of differential and integral calculus. It is a two-credit course. (PREREQUISITES: A- in Algebra 2 and department approval)
Calculus 1
This course presents the basic theorems, techniques and applications of differential and integral calculus. (PREREQUISITES: B in Pre-Calculus and department approval)
Advanced Placement Calculus 2 (weighted 0.1 - Students must take the AP Exam and score at least a "3" to receive the 0.1 weight value)
Advanced Placement Calculus 2 is a more rigorous calculus course than Calculus 1, designed to prepare the student for the BC Advanced Placement test. Proofs of theorems, as well as techniques and applications, are stressed. (PREREQUISITES: B in Advanced Placement Math or Calculus 1 and department approval)
Transition to Advanced Math/Algebra I
This is a full year, two-period course designed to encourage conceptual understanding of key mathematical ideas. Upon completion of the instructional strategies, students will then be presented with the regular Algebra 1 Mathematics course. Thus, the course will follow a transition from concrete mathematical skills to abstract algebraic concepts.
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The inspiration for the handbook came from Moody's Mega Math (M3) Challenge, a high school applied math contest organized by SIAM. Despite the tremendous success of the nine-year-old Challenge, which is currently available to 45 U.S. states and Washington, D.C., organizers found that many participating students—high school juniors and seniors—were having trouble coming up with approaches and solutions to the open-ended realistic problems posed by the contest. Participants expressed their frustration in post-contest surveys and emails.
"We have been enthusiastic about the high level of insight and analysis demonstrated by participants in the Challenge, especially the winning teams," says M3 Challenge Project Director Michelle Montgomery. "However, it became clear to us that, given the lack of modeling courses in most high school curricula, many of the participants did not have access to basic resources necessary to create a successful model. We came up with the handbook to give every participant these tools."
This type of thinking created an "aha" moment, so to speak, for handbook authors Karen Bliss, Katie Fowler, and Ben Galluzzo, long-time Challenge judges who have been part of the contest's problem development team for the past two years.
"All students, especially those interested in STEM disciplines, need as much practice in solving open-ended problems as possible, but they often do not get many chances to do that in school,"says Fowler, who is an associate professor of mathematics at Clarkson University. "Math modeling skills allow students to approach problems they initially may feel are outside of their comfort zone, and we want to give them the confidence to tackle them."
Further motivated by a series of SIAM-National Science Foundation (NSF) workshops on the topic of math modeling across the curriculum, the trio began work on a modeling guide. What started as a pamphlet with step-by-step guidance about the modeling process grew into a 70-page, full color handbook, with a companion document that makes connections to the Common Core State Standards as well as easy-to-use reference cards for those who want to get straight to the crux of modeling. The guide is suitable for teachers as well as high school and undergraduate students interested in learning how to model.
"Math modeling is challenging, but it's also surprisingly accessible. The guidebook is designed to remove perceived roadblocks by presenting modeling as a highly-creative iterative process in which multiple approaches—to the same problem—can lead to meaningful results," says Galluzzo, an assistant professor of mathematics at Shippensburg University.
The handbook, as well as the Challenge itself, has another, more pressing goal: motivating our younger generation to pursue higher education and careers in science and math. "SIAM does a big service to the math community at large by giving high school students the opportunity to see how math is more than just a series of formulas and rote memorization," says Bliss, an assistant professor of mathematics at Quinnipiac University. "Students at all levels have the means to produce highly creative solutions to interesting problems. Seeing that math can be a powerful tool for solving truly important problems through M3 Challenge participation might be just enough to encourage a student to study math or another STEM discipline in college."
Over 5,000 copies of the handbook are mailing this week to high school teachers who served as coaches for M3 Challenge teams, as well as to college faculty in relevant programs across the US. PDFs of the book are available for free download at
Print copies are available upon request for $15 per copy to cover the cost of printing and mailing.
Please contact SIAM Customer Service at +1-215-382-9800 or toll-free 800-447-SIAM (US and Canada) to order a print copy of the handbook.
The book was published by SIAM with funding support from The Moody's Foundation in conjunction with the M3Challenge, and from the NSF.
About the publisher
The Society for Industrial and Applied Mathematics (SIAM), headquartered in Philadelphia, Pennsylvania, is an international society of more thanAlso, a reminder to all members (and especially students at this time of year) that if you are moving or intend to move, please update your records at my.siam.org.
2014 Class of Fellows named
Each year, SIAM names as Fellows of the Society members who have made outstanding contributions to fields served by SIAM, be it excellence in research and/or industrial work, noteworthy educational and community activities, or other forms of achievements related to the goals of SIAM. This year, SIAM is pleased to recognize 32 distinguished members as Fellows. Please view the full list here:
Top teams to split $125,000 in M3 Challenge
Students from Delaware, Indiana, New Jersey, and North Carolina are contenders for the top prize in Moody's Mega Math (M3) Challenge, which this year required participants to provide viable solutions to the issues U.S. schools face in implementing new lunch guidelines mandated by the U.S. Department of Agriculture. More than 5,000 participants created math models to study students' caloric requirements based on individual attributes and examined the effectiveness of the new school lunch mandates. 200 professional applied mathematician judges reviewed and pared down the nearly 1,200 solution papers—submitted by teams of 3-5 students working together over a 14-hour period—to reach a consensus on the six top teams. These finalists will compete live for the Champion prize at the Manhattan headquarters of The Moody's Foundation, which will award a total of $125,000 in scholarship prizes. Want to watch? It will be streamed live at the URL below:
Read more about this year's contest and view the full list of winning teams here. back to top
Latest SIAM Nugget analyzes uncertainty in computer models
The latest Nugget, based on a paper published in the SIAM/ASA Journal on Uncertainty Quantification, describes methods to mitigate error in computer models by quantifying uncertainty. As author Mark Strong says "Given that 'all models are wrong,' it is important that we develop methods for quantifying our uncertainty in model structure such that we can know when our model is 'good enough'. Better models mean better decisions." The paper focuses specifically on health economics decision making, where models are used to predict future costs as well as the health consequences of various options regarding resource allocation. Read the complete Nugget:
Visit SIAM Blogs
Whether you're looking for professional development tips, science policy updates, broad questions about a field of applied math, a specific overview of a sub-discipline, or just some interesting leisure reading, such as how math relates to sports technology or electronic music, SIAM Blogs is a great place to go:
Want to write about similar (or other) topics relevant to the mathematical sciences? E-mail us at [email protected]! back to top
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::: UPDATES ON CONFERENCES & PRIZES :::
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Additional posters being accepted for AN14
The2014 SIAM Annual Meetingis accepting a limited number of additional poster presentations with new results only. Submissions are being accepted through May 21 and should be consistent with the conference themes. Accepted submissions will appear online only. Interested parties should submit using this online submission site.
Presentations from PP14 now available to view
Presentations from select sessions at the 2014 SIAM Conference on Parallel Processing for Scientific Computing are now available on SIAM Presents…Featured Lectures from Our Archives:
You do not need to login to view presentations, though registering will allow you to track the presentations you access. Audio/slides can be viewed by selecting "Invited Speakers", "Prize Speaker", or "Minisymposia" from the left sidebar and then connecting to a specific session. back to top
Child Care Grants for AN14
SIAM is offering grants of up to $250 per family for attendees who bring children to the Annual Meeting being held in Chicago in July. For more information and a link to the application form, please visit Deadline for applications is May 7, 2014. back to top
Students: Need travel funds for SIAM meetings?
SIAM will award several hundred travel awards for graduate students wishing to attend SIAM conferences in 2014. Check out the criteria to qualify on the student travel awards page:
When making predictions using computer models, we encounter two sources of uncertainty: uncertainty in model inputs and uncertainty in model structure. Input uncertainty arises when we are not certain about input parameters in model simulations. If we are uncertain about true structural relationships within a model—that is, the relationship between the set of quantities that form the model input and the set that represents the output—the model is said to display structural uncertainty. Such uncertainty exists even if the model is run using input values as estimated in a perfect study with infinite sample size.
"Perhaps the hardest problem in assessing uncertainty in a computer model prediction is to quantify uncertainty about the model structure, particularly when models are used to predict in the absence of data," says author Jeremy Oakley. "The methodology in this paper can help model users prioritize where improvements are needed in a model to provide more robust support to decision making."
While methods for managing input uncertainty are well described in the literature, methods for quantifying structural uncertainty are not as well developed. This is especially true in the context of health economic decision making, which is the focus of this paper. Here, models are used to predict future costs and health consequences of options to make decisions for resource allocation.
Left: Hypothetical model with ten inputs and one output, decomposed to reveal six intermediate parameters. Right: Possible structural error in the subfunctions that result in Y1, Y5, and Y6 are corrected with discrepancy terms δ1, δ2 and δ3. Figure credit: Mark Strong and Jeremy E. Oakley
"In health economics decision analysis, the use of "law-based" computer models is common. Such models are used to support national health resource allocation decisions, and the stakes are therefore high," says Strong. "While it is usual in this setting to consider the uncertainty in model inputs, uncertainty in model structure is almost never formally assessed."
There are several approaches to managing model structural uncertainty. A primary approach is 'model averaging' in which predictions of a number of plausible models are averaged with weights based on each model's likelihood or predictive ability. Another approach is 'model calibration', which assesses a model based on its external discrepancies, that is, output quantities and how they relate to real, observed values. In the context of healthcare decisions, however, neither of these approaches is feasible since typically more than one model is not available for averaging, and observations on model outputs are not available for calibration.
Hence, the authors use a novel approach based on discrepancies within the model or "internal discrepancies" (as opposed to external discrepancies which are the focus of model calibration). Internal discrepancies are analyzed by first decomposing the model into a series of subunits or subfunctions, the outputs of which are intermediate model parameters that are potentially observable in the real world. Next, each sub-function is judged for certainty based on whether its output would equal the true value of the parameter from real-world observations. If a potential structural error is anticipated, a discrepancy term is introduced. Subsequently, beliefs about the size and direction of errors are expressed. Since judgments for internal discrepancies are expected to be crude at best, the expression of uncertainty should be generous, that is, allowed to cover a wide distribution of possible values. Finally, the authors determine the sensitivity of the model output to internal discrepancies. This gives an indication of the relative importance of structural uncertainty within each model subunit.
"Traditional statistical approaches to handling uncertainty in computer models have tended to treat the models as 'black boxes'. Our framework is based on 'opening' the black box and investigating the model's internal workings," says Oakley. "Developing and implementing this framework, particularly in more complex models, will need closer collaboration between statisticians and mathematical modelers."
SIAM/ASA Journal on Uncertainty Quantification, 2(1), 106–125 (Online publish date: February 6, 2014). The paper is available for free download at the link above through December 31, 2014.
About the authors:
Mark Strong is a clinical senior lecturer in public health and the Deputy Director of Public Health Section at the School of Health and Related Research at the University of Sheffield, and Jeremy Oakley is a professor of statistics in the School of Mathematics and Statistics at the University of Sheffield.About SIAM The Society for Industrial and Applied Mathematics (SIAM), headquartered in Philadelphia, Pennsylvania, is an international society of over[Reporters are free to use this text as long as they acknowledge SIAM]
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volume collects six articles on selected topics at the frontier between partial differential equations and spectral theory, written by leading specialists in their respective field. The articles focus on topics that are in the center of attention of current research, with original contributions from the authors. They are written in a clear expository style that makes them accessible to a broader audience. The articles contain a detailed introduction and discuss recent progress, provide additional motivation, and develop the necessary tools. Moreover, the authors share their views on future developments, hypotheses, and unsolved problems.
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Mathematical Analysis
Grades Eight Through Twelve - Mathematics Content Standards
This discipline combines many of the trigonometric, geometric, and algebraic techniques
needed to prepare students for the study of calculus and strengthens their conceptual
understanding of problems and mathematical reasoning in solving problems. These
standards take a functional point of view toward those topics. The most significant new
concept is that of limits. Mathematical analysis is often combined with a course in
trigonometry or perhaps with one in linear algebra to make a year-long precalculus
course.
1.0 Students are familiar with, and can apply, polar coordinates and vectors in the plane. In
particular, they can translate between polar and rectangular coordinates and can interpret polar
coordinates and vectors graphically.
2.0 Students are adept at the arithmetic of complex numbers. They can use the trigonometric
form of complex numbers and understand that a function of a complex variable can be viewed as
a function of two real variables. They know the proof of DeMoivre's theorem.
3.0 Students can give proofs of various formulas by using the technique of mathematical
induction.
4.0 Students know the statement of, and can apply, the fundamental theorem of algebra.
5.0 Students are familiar with conic sections, both analytically and geometrically:
5.1 Students can take a quadratic equation in two variables; put it in standard form
by completing the square and using rotations and translations, if necessary;
determine what type of conic section the equation represents; and determine its
geometric components (foci, asymptotes, and so forth).
5.2 Students can take a geometric description of a conic section - for example, the
locus of points whose sum of its distances from (1, 0) and (-1, 0) is 6 - and derive a
quadratic equation representing it.
6.0 Students find the roots and poles of a rational function and can graph the function and locate
its asymptotes.
7.0 Students demonstrate an understanding of functions and equations defined parametrically
and can graph them.
8.0 Students are familiar with the notion of the limit of a sequence and the limit of a function as
the independent variable approaches a number or infinity. They determine whether certain
sequences converge or diver
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Students solve exponential equations using logarithms. In this solving exponential equations using logarithms lesson, students read a story on their Ti-Nspire about exponentials and logarithms. Students solve problems in the story using logarithms. Students use the power, product, and quotient properties to solve the stories' problemsYoung scholars review and analyze topics needed to be successful in calculus. In this precalculus lesson plan, students review the unit circle and its properties. The trigonometric ratios and its identities.
Pupils explore optimization problems. In this Pre-Calculus/Calculus/Algebra II lesson plan, students use Geometer's sketchpad to investigate the dimensions of the largest rectangle that can be inscribed under a parabola. Pupils use their findings to solve optimization problems.
Students are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also review basic algrebra terminology that could be useful in the present.
High schoolers practice using graphing calculators and spreadsheets as they explore numeric limits using sequences and functions. They complete a sequencing worksheet, and determine which sequence corresponds to story a story called Froggy and Wanda.
Learners investigate step functions. In this Algebra II/Pre-calculus lesson, students examine various taxi fare schemes and model the fares with step functions by making use of the calculator's greatest integer function's step function properties.
Students explore scatter functions. In this pre-calculus lesson, students model data, evaluate the function and use their model to interpolate or predict end behavior of the function. The lesson employs the use of a graphing calculator.
Students explore an optimization problem. In this Pre-Calculus activity, students investigate a problem in which the distance between three points is minimized in order to determine the location of a switchboard. Students use Geometer's Sketchpad to explore and generate data, and use that data to hypothesize a function to describe the problem relate polynomials to real life situations. In this algebra instructional activity, students graph equations through modeling and data collection. They must be comfortable doing word problems.
Baseball and statistics go hand-in-hand and knowing how to interpret, compare, and display this information is a key skill for any middle schooler. Using two sets of data, have young statisticians answer questions by constructing and comparing different representations of the data especially lineplots (dotplots), stemplots (including back-to-back stemplots) five number summaries, and boxplots.
When it comes to rating educational calculators, this calculator is always near the top of this list. Now it's available as an app. There is a lot of calculator power wrapped up in this app. Not only is this a fully functioning calculator, it is also a computer algebra system (CAS).
We landed on the moon with less computing capabilities than you can find in this app! Here is a multiple function calculator that takes all the power you get from a handheld and adds the wonderful large screen that only a tablet can provide.
Sal explores more complex limit problems including showing how to take the limit of an expression with a square root by using the conjugate and how to simplify trigonometric functions that are part of limit problems. Note: A mistake is made on the last step of first problem where multiplication should have been used instead of addition, resulting in the correct answer of 3/16
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Green, CA Physics, day-to-day uses (eg. in playin...In introductory linear algebra, this is done using the technique of elimination which works for systems of two or three equations. However, when more than three equations need to be solved simultaneously, one needs to begin using arrays and matrices. Thus, central to linear algebra is the study of matrices and how to perform basic operation such as matrix multiplication.
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MATH 125: Mathematical Perspectives (3 cr). Exploration of easily accessible, engaging, and thematically connected mathematical ideas as a vehicle to lead students to experiences that are characteristic of the mathematical enterprise. (Prerequisite: MATH 105 or by placement.)
MATH 147: Calculus from an Historical Perspective (3 cr). An overview of concepts from differential and integral calculus through excerpted readings in English translation of original texts which emphasizes connections with developments in science and philosophy. (Prerequisite: MATH 120 or by placement.)
MATH 150: Elements of Calculus I (3 cr). Modeling data with polynomial functions, exponential functions, and logistic functions. Rates of change and the derivative. Application of the derivative including optimization and inflection points. Result of cumulative change and the definite integral. (Prerequisite: MATH 120 or by placement.)
MATH 154: Milestones in Mathematics (3 cr). Charts milestones in various branches of mathematics through the reading of original sources: number theory, infinity, Euclidean and non-Euclidean geometry, and algebra are all possible threads of development. (Prerequisite: MATH 120 or by placement.)
MATH 158: General Statistics II (3 cr). Building upon the introductory material presented in MATH 156 (or equivalent), this is a second course in statistical methods and data analysis. The course objectives are: 1) To study in detail the distinctions between observational studies and controlled experiments, the questions they can address and what types of statistical methods are appropriate for analyzing them 2) To learn some basic statistical tools used to analyze data, such as: 2 sample t-tests, analysis of categorical data and Goodness-of-Fit tests, multiple comparison procedures, multiple regression, analysis of variance (ANOVA), nonparametric methods (such as the randomization test and the rank-sum test), and log transformations 3) To get hands-on experience analyzing data and computing with data (using R) 4) To gain experience in interpreting the results of a statistical analysis and communicating the results to others. (Prerequisite: MATH 156, or MATH 116 with minimum grade of B.)
MATH 169: Precalculus (3 cr). This is a study of linear, polynomial, rational, exponential, logarithmic, and trigonometric functions from symbolic, graphical, and numerical perspectives. Topics include algebraic and analytic properties of functions; sums, differences, products, quotients, and composites of functions; inverse functions; and functions as models. (Prerequisite: By placement.)
MATH 170: Calculus I (4 cr). Limits and continuity. Transcendental functions. The derivative, techniques of differentiation, and applications of the derivative. Parametric equations. The definite integral, numerical integration, antiderivatives, and method of substitution. (Prerequisite: MATH 169 or by placement.)
MATH 201: Foundations of Arithmetic - ECED (3 cr). Concepts necessary for understanding the structure of arithmetic and its algorithms (with whole numbers, integers, fractions and decimals), number patterns, and introductory probability and statistics. (Restrictions: Must be enrolled in one of these programs: Master of Education, B.S. in Education.)
MATH 202: Geometry and Measurement - ECED (3 cr). Concepts necessary for an understanding of basic geometry: shapes in one, two, and three dimensions, scientific measurement and dimensional analysis, congruence and similarity of figures, compass and straightedge constructions, transformations, and coordinate geometry. Use of computer software to explore geometric concepts. (Restrictions: Must be enrolled in one of these programs: Master of Education, B.S. in Education.)
MATH 211: Foundations of Arithmetic - MCED (3 cr). Concepts necessary for understanding the structure of arithmetic, its algorithms and properties (with whole numbers, integers, rational and irrational numbers), basic set theory and introductory number theory. (Restrictions: Must be enrolled in one of these programs: Master of Education, B.S. in Education.)
MATH 212: Geometry and Measurement - MCED (3 cr). Concepts necessary for an understanding of basic geometry: shapes in one, two, and three dimensions, scientific measurement and dimensional analysis, congruence and similarity of figures, compass and straightedge constructions, transformations, coordinate geometry, conjecture and proof, perspective drawing and introductory trigonometry. Use of computer software to explore geometric concepts. (Restrictions: Must be enrolled in one of these programs: Master of Education, B.S. in Education.)
MATH 213: Algebra Concepts - MCED (3 cr). Development of algebraic problem solving, polynomials, linear, quadratic and exponential equations and functions, pattern representation, sequences and series. Use of technology and manipulative materials in the teaching of algebra. (Restrictions: Must be enrolled in one of these programs: Master of Education, B.S. in Education.)
MATH 257: Data Modeling (3 cr). This is a course on applied statistics, which is supported by a statistical free-software R. The course aims to prepare a student to be a successful research manager, who can churn through huge data points and show where patterns emerge. The fundamental statistical methods as applied to practical problems will be taught in greater detail, so that the student will be able to extract meaningful statistics from raw data. The content includes methods of curve fitting, transformations of data, various regression techniques for both linear and nonlinear regressions, the generalized linear model, model selections and diagnostics, analysis of the categorical data, analysis of variance, and distribution free procedures. (Prerequisite: MATH 256.)
MATH 280: Combinatorics (3 cr). An introduction to counting techniques of discrete objects. The enumeration of sets, permutations and combinations, the binomial and multinomial theorem will serve as an appetizer; counting methods including the inclusion-exclusion principle; the pigeonhole principle, generating functions, and recurrence relations will be the main course. Applications of combinatorial techniques and problem solving will be emphasized. [Optional: finite geometries, permutation groups, latin squares, designs, and codes.] (Prerequisite: MATH 225.)
MATH 300: History of Mathematics (3 cr). Some of the highlights in the historical development of mathematics with special attention given to the invention of non-Euclidean geometry and its importance for mathematics and Western thought. (Prerequisites: MATH 220, MATH 240.)
MATH 303: Mathematical Logic (3 cr). Axiomatic development of propositional calculus, functional complete sets of operators, axiomatic development of the first order function calculus, the existential operator, the algebra of logic. (Prerequisite: MATH 225.)
MATH 316: Cryptology (3 cr). In this course we will be exploring cryptology - the making and breaking of secret ciphers and codes. We will start with classical ciphers: shift, affine, Vigenere, substitution, Hill, one-time pads, Enigma, etc. Then after a brief introduction to number theory, we will start on modern methods: the RSA algorithm, DES, and AES: Rijndael. If time permits, we will also explore discrete logarithms and elliptic curves. All codes will be placed in historical perspective by exploring the political and military contexts in which they were devised, through readings in The Code Book. (Prerequisite: MATH 225.)
MATH 370: Real Analysis (3 cr). Rigorous development of calculus of functions of a single variable. The real number system, topology of the real line, continuity, uniform continuity, the derivative, the Riemann integral, sequences and series of real numbers, and uniform convergence. (Prerequisites: MATH 220 and MATH 225.)
MATH 385: Secondary Mathematics from an Advanced Perspective (3 cr). The Mathematical Education of Teachers, a 2001 report of the Conference Board of the Mathematical Sciences, recommended that prospective teachers of high school mathematics take a capstone course in which "conceptual difficulties, fundamental ideas, and techniques of high school mathematics are examined from an advanced prospective". This course is intended to fulfill such a role for Xavier students pursuing secondary licensure. The primary learning mechanisms will be reading, problem solving, and communicating and justifying one's mathematical thinking to others, both verbally and in written form. Although the mathematical content of this ocurse is rooted in high school mathematics, we will approach it from a sophisticated undergraduate level that emphasizes the many interconnections among high school mathematics topics and includes analyses that reveal important insights and understandings not always considered in other undergraduate mathematics courses. (Prerequisite: MATH 340.)
MATH 391: Mathematics Seminar 1 (1 cr). Juniors (MATH 391) and seniors (MATH 393) meet together in the spring semester. Students will read selections from the mathematical literature, explore how to write mathematics effectively, learn how to use technical word processing tools, practice how to communicate mathematical ideas and give oral presentations. (Restriction: Must be enrolled as a major in mathematics.)
MATH 392: Mathematics Seminar 2 (1 cr). Each senior will meet with a faculty advisor to work on an individual research project. (Restriction: Must be enrolled as a major in mathematics.)
MATH 393: Mathematics Seminar 3 (1 cr). The student will write a paper and give a formal presentation describing the project developed during MATH 392. (Prerequisite: MATH 392; Restriction: Must be enrolled as a major in mathematics.)
MATH 397: Special Study (0-6 cr). Credit by special arrangement. Area to be specified. (Prerequisite: MATH 225.)
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Calculus Tests and Worksheets - All Grades - Help TeachingA library of free printable worksheets plus hundreds of Calculus questions
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Ian Wild
A physicist by profession, Ian's career has always focused primarily on communication and learning.
Fifteen years spent in private industry designing communication systems software eventually saw Ian concentrate on the development of accessibility and learning aids for blind, partially sighted, dyslexic and dyscalculic computer users - whilst also working part-time as a math and science tutor.
Teaching only part-time meant not spending as much time with his students as he would have wanted. This and his background in learning and communication technology
What you will learn from this book
Integrate interactive presentations and explore different ways to include them in your course
Create your own SCORM activities using both free and commercial tools
Add rich animation and fun games by incorporating Flash games and activities for engaging your students
Build feature-rich quizzes and set online assignments
Monitor student progress and assess your teaching success
Configure Moodle to display the complete set of mathematical symbols and objects
In Detail
Moodle is a popular e-learning platform that is making inroads into all areas of the curriculum. Using moodle helps you to develop exciting, interactive, and engaging online math courses. But teaching math requires use of graphs, equations, special notation, and other features that are not built into Moodle. Using Moodle to teach Mathematics presents its own challenges.
The book will show you how to set-up a Moodle course to support the teaching of mathematics. It will also help you to carefully explore the Moodle plugins that allow the handling of equations and enable other frequently used mathematical activities.
Taking a practical approach, this book will introduce you to the concepts of converting mathematics teaching over to Moodle. It provides you with everything you need to include mathematical notation, graphs, images, video, audio, and more in your Moodle courses. By following the practical examples in this book, you can create feature-rich quizzes that are automatically marked, use tools to monitor student progress, employ modules and plugins allowing students to explore mathematical concepts. You'll also learn the integration of presentations, interactive math elements, SCORM, and Flash objects into Moodle. It will take you through these elements in detail and help you learn how to create, edit, and integrate them into Moodle.
Soon you will develop your own exciting, interactive, and engaging online math courses with ease.
Teach mathematics using the Moodle e-learning platform
Approach
The book presents the reader with clear instructions for setting up specific activities, based around an example maths course (Pythagorean Theorem) with plenty of examples and screenshots. No Moodle experience is required to use the book, but the book will focus only on activities and modules relevant to teaching mathematics. We will assume that the reader has access to a working installation of Moodle. The activities will be appropriate for teaching math in high schools and universities.
Who this book is for
The book is aimed at math teachers who want to use Moodle to deliver or support their teaching. The book will also be useful for teachers of "mathematical sciences", or courses with a significant mathematical content that will benefit from the use of some of the tools explored in the book.
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You Are Here
Area of Knowledge: Mathematics Component
Learning Objectives
The student should be able to demonstrate proficiency in mathematical thinking.
Mathematical thinking has many facets, including the construction of mathematical
arguments using formal deductive reasoning, the utilization of theoretical models,
and application of general mathematical principles in problem solving. The student
should demonstrate the ability to:
invoke formal mathematical reasoning;
understand mathematical proofs;
recognize fallacies in faulty mathematical arguments.
The student should be able to demonstrate proficiency in the reading and writing
of mathematics.
Students should be able to:
utilize and interpret mathematical notation;
read and write mathematical arguments;
write sound and coherent solutions to mathematical problems.
Criteria
To be classified as a mathematics area of knowledge course, a course must:
Include the development of mathematical thinking as the primary objective of
the course.
Mathematical thinking does not come easily to most. Its development demands time
and effort to an extent that nonmathematical course objectives should be secondary.
Regularly engage the student in the process of doing mathematics.
The broader collegiate goal of active learning presumes that one learns by doing.
this is certainly true in mathematics.
Regularly engage the student in the process of reading and writing mathematics.
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Teach Yourself Trigonometry is suitable for beginners, but it also goes beyond the basics to offer comprehensive coverage of more advanced topics. Each chapter features numerous worked examples and many carefully graded exercises, and full demonstrations of trigonometric proofs are given in the answer key.
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Description of Life of Fred City Answers: Linear Algebra - Grade 11-College by Z Twist Books
Featuring humor, easy-to-understand explanations, and silly illustrations, Life of Fred is guaranteed to make your math studies come alive! Each text is written as a novel, including a hilarious story line based on the life of Fred Gauss. As Fred encounters the need for math during his daily exploits, he learns the methods necessary to solve his predicaments – plus loads of other interesting facts! Filled with plenty of solved examples, each book is self-teaching and reusable – perfect for families full of learners.
Introduce your students to Fred today and see how his fun, lighthearted approach to learning is revolutionizing mathematics!
City Answers: Linear Algebra is the answer key for Life of Fred: Linear Algebra Student Book.
Product:
Life of Fred City Answers: Linear Algebra - Grade 11-College
Vendor:
Z Twist Books
Minimum Grade:
11th Grade
Maximum Grade:
College Senior
Weight:
0.29 pounds
Length:
11 inches
Width:
8.5 inches
Height:
0.2 inches
Subject:
Math
Curriculum Name:
Life of Fred
Learning Style:
Visual
Teaching Method:
Charlotte Mason, Unit Study, Unschooling
There are currently no reviews for Life of Fred City Answers: Linear Algebra - Grade 11-College.
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course introduces students to the basic concepts, logic, and issues involved in statistical reasoning. Major topics include exploratory data analysis, an introduction to research methods, probability, and statistical inference. The objectives of this course are to give students confidence in manipulating and drawing conclusions from data and provide them with a critical framework for evaluating study designs and results.An important feature of the course is the use of an intelligent tutoring system developed at Carnegie Mellon called "StatTutor." StatTutor aims to facilitate understanding of statistical ideas and analytical techniques by helping students construct useful knowledge representations and thereby develop effective problem-solving skills. It uses a specified outline of steps to follow in solving problems, or "scaffolding״. StatTutor will use scaffolding and immediate feedback flexibly, tracking and responding to individual students as they navigate the learning environment.״
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'From the MAA review of this book: "The discussions and explanations are succinct and to the point, in a way that pleases...
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'From the MAA review of this book: "The discussions and explanations are succinct and to the point, in a way that pleases mathematicians who don't like calculus books to go on and on.״There are eleven chapters beginning with analytic geometry and ending with sequences and series. The book covers the standard material in a one variable calculus course for science and engineering except for numerical integration. The size of the book is such that an instructor does not have to skip sections in order to fit the material into the typical course schedule.There are sufficiently many exercises at the end of each sections, but not as many as the much bigger commercial texts. Some students and instructors may want to use something like a Schaum's outline for additional problems.'
This is a free, online textbook offered by Bookboon.com. "This is free textbook is for people who want to know how to use...
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This is a free, online textbook offered by Bookboon.com. "This is free textbook is for people who want to know how to use SPSS for analysing data, who want practical help in as short a time as possible. The author has considerable experience of teaching many such people and assumes they know the basics of statistics but nothing about SPSS, or as it is now known, PASW.The Statistical Reasoning course is the same as the Probability and Statistics course except that it includes a new streamlined probability option that forgoes the classical treatment of probability in favor of an empirical approach using relative frequency. There is an early focus on probability distributions as a way to describe patterns arising in a long series of repetitions of random phenomenon. This approach includes only those concepts that are necessary to support a conceptual understanding of the role of probability in inference. Examples use contexts from real world problems and simulations set in real world contexts״The Promise and Peril of Big Data explores the implications of inferential technologies used to analyze massive amounts of...
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״The Promise and Peril of Big Data explores the implications of inferential technologies used to analyze massive amounts of data and the ways in which these techniques can positively affect business, medicine, and government.״
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This Textbook
Overview.
Related Subjects
Meet the Author
An award-winning instructor and best-selling author, Elayn Martin-Gay has taught mathematics at the University of New Orleans for more than 25 years. Her numerous teaching awards include the local University Alumni Association's Award for Excellence in Teaching, and Outstanding Developmental Educator at University of New Orleans, presented by the Louisiana Association of Developmental Educators.
Prior to writing textbooks, Elayn developed an acclaimed series of lecture videos to support developmental mathematics students in their quest for success. These highly successful videos originally served as the foundation material for her texts. Today, the videos are specific to each book in the Martin-Gay series. Elayn also pioneered the Chapter Test Prep Video to help students as they prepare for a test–their most "teachable moment!"
Elayn's experience has made her aware of how busy instructors are and what a difference quality support makes. For this reason, she created the Instructor-to-Instructor video series. These videos provide instructors with suggestions for presenting specific math topics and concepts in basic mathematics, prealgebra, beginning algebra, and intermediate algebra. Seasoned instructors can use them as a source for alternate approaches in the classroom. New or adjunct faculty may find the videos useful for review.
Her textbooks and acclaimed video program support Elayn's passion of helping every student to succeed.
Read an Excerpt
PREFACE:Third Edition ...
Preface of Interpret Technology activitiesCompanion Website
Visit http:ll
The companion Website includes basic distance learning access to provide links to the text's Real World Activities, career-related sites referenced in the chapter opening pages and a selection of online self quizzes. E-mail is available. For quick reference, the inside front cover of this text also lists the companion Website URL.
WebCT
WebCT includes distance learning access to content found in the Martin-Gay Companion Website plus more: WebCT provides tools to create, manage, and use on-line course materials. Save time and take advantage of items such as on-line help, communication tools, and access to instructor and student manuals. Your college may already have WebCT's software installed on their server or you may choose to download it. Contact your local Prentice Hall sales representative for details.
Blackboard
Visit
For distance learning access to content and features from the Martin-Gay Companion Website plus more, Blackboard provides simple templates and tools to create, manage, and use on-line course materials. Save time and take advantage of items such as on-line help, course management tools, communication tools, and access to instructor and student manuals. No technical experience required. Contact your local Prentice Hall sales representative for details.
Prentice Hall Interactive Math is an exciting, proven choice to help students succeed in math. Created for a computer-based course, it provides the effective teaching philosophy of K. Elayn Martin-Gay in an Internet-based course format. Interactive Math, Introductory and Intermediate Algebra, takes advantage of state-of-the-art technology to provide highly flexible and user-friendly course management tools and an engaging, highly interactive student learning program that easily accommodates the variety of learning styles and broad spectrum of students presented by the typical beginning and intermediate algebra class. Personalized learning includes reading, writing, watching video clips, and exploring concepts through interactive questions and activities. Contact your local Prentice Hall sales representative for detailsIntroduction Addenda of Interpret Technology activities
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MATH-3500
Introduction to most of the topics of elementary number theory such as modular arithmetic, prime factorizations, linear diophantine equations, the Chinese remainder theorem, quadratic reciprocity, Pythagorean triples, number theoretic functions, and related topics. Concrete examples will illustrate the concepts and abstract reasoning will develop the theories considered in the courses. Prerequisite: MATH-2210 Logic and Methods of Proof.
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... more...
This book mainly deals with the Bochner–Riesz means of multiple Fourier integral and series on Euclidean spaces. It aims to give a systematical introduction to the fundamental theories of the Bochner–Riesz means and important achievements attained in the last 50 years. For the Bochner–Riesz means of multiple Fourier integral, it... more...
egghead's Guide to Geometry will help students improve their understanding of the fundamental concepts of geometry. With the help of Peterson's new character, egghead, students can strengthen their math skills with narrative cartoons and graphics. Along the way there are plenty of study tips and exercises, making this the perfect guide for students... more...
Based on a series of lectures for adult students, this lively and entertaining book proves that, far from being a dusty, dull subject, geometry is in fact full of beauty and fascination. The author's infectious enthusiasm is put to use in explaining many of the key concepts in the field, starting with the Golden Number and taking the reader on... more...
The focus of this book and its geometric notions is on real vector spaces X that are finite or infinite inner product spaces of arbitrary dimension greater than or equal to 2. It characterizes both euclidean and hyperbolic geometry with respect to natural properties of (general) translations and general distances of X. Also for these spaces X, it studies... more...
The Yang-Mills theory of gauge interactions is a prime example of interdisciplinary mathematics and advanced physics. Its historical development is a fascinating window into the ongoing struggle of mankind to understand nature. The discovery of gauge fields and their properties is the most formidable landmark of modern physics. The expression of the... more...
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Creating Rich Visualizations to Explore Your Data
Brett Champion
Harness the power of Mathematica to interactively visualize your data. This Wolfram Mathematica Virtual Conference 2011 course features a series of examples that show how to create a rich interface for exploring data in depth.
This course from the Wolfram SystemModeler Virtual Conference 2012 focuses on analyzing model equations and simulation results with Mathematica. You'll also learn about the link between Mathematica and SystemModelerWolfram SystemModeler can be used to model safety-critical systems. This Wolfram Virtual Conference Spring 2013 talk takes a closer look at an aircraft flap system, showing how component faults can be modeled and how their effects on system behavior can be simulatedMethods of accessing Wolfram|Alpha from Mathematica are discussed in this Wolfram Mathematica Virtual Conference 2011 course. Learn how to turn results from Wolfram|Alpha into formatted or raw data and computable code or graphics.
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The student will begin to think critically by studying logic, sets and statistical reasoning. The student will examine problem-solving and decision-making by studying probability, application of statistical data, modeling, and financial mathematics. The student will become aware of possible abuses of mathematics. Finally the student will understand the broad usefulness of mathematics by studying history of mathematics and application of mathematics in art, music, business and/or politics. Prerequisite: One year of H.S. algebra or MAT 064
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AIM AND SCOPE
Mathematics has a wide variety of branches. Despite this, we in the
International Congress on Mathematical Software believe that mathematics is
fundamentally just one thing. Algebra, geometry and analysis are examples of
separate specialities within mathematics, and of course we consider each of
them valuable and hence study them. But we take the view that any branch of
mathematics can borrow freely from these specialities. It is often worthwhile
delving into them for ideas that might lead to fundamental new discoveries.
The same can be said of mathematical software systems: the study of
mathematical software is a coherent whole. We believe that the appearance of
mathematical software is a fundamentally new event in mathematics of increasing
importance. Mathematical software systems are used to construct examples, to
prove theorems, and to find new mathematical phenomena. Conversely, mathematical
research often motivates developments of new algorithms and new systems. Beyond
mathematics, mathematical software systems are becoming indispensable tools in
many branches of science and technology. The development of mathematical
software systems relies on the cooperation of mathematicians, algorithm
designers, programmers, and the feedback from users. The main audience of this
congress is the community of mathematical software developers and programming
mathematicians, but we also intend to provide an opportunity to discuss these
topics with mathematicians and users from application areas. Topics include but
are not limited to:
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Starting at $45Workbook for Prealgebra and Introductory Algebra: An Applied Approach, 2nd
Summary
As in previous editions, the focus in PREALGEBRA & INTRODUCTORY ALGEBRA remains on the Aufmann Interactive Method (AIM). Users are encouraged to be active participants in the classroom and in their own studies as they work through the How To examples and the paired Examples and You Try It problems. The role of "active participant" is crucial to success. Presenting students with worked examples, and then providing them with the opportunity to immediately work similar problems, helps them build their confidence and eventually master the concepts.
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After reviewing the basic concept of general relativity, this introduction discusses its mathematical background, including the necessary tools of tensor calculus and differential geometry. These tools are used to develop the topic of special relativity and to discuss electromagnetism in Minkowski spacetime. Gravitation as spacetime curvature is introduced and the field equations of general relativity derived. After applying the theory to a wide range of physical situations, the book concludes with a brief discussion of classical field theory and the derivation of general relativity from a variational principle
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Introduction to MATLAB
This course is an introduction to the elements and practicalities of computer programming through the MATLAB mathematical computing environment. No previous programming experience is required (students already familiar with the topics described here after are discouraged to take the course). At the end of the course students will have the basics for using MATLAB in their own project work.
The course is organized in six sessions, each of them include one hour of theory and two hours of hands-on exercises. The topics are organized as follows:
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Summary: Math 430 Homework 1 Section 1.3 Sally Student
1. This sample document provides a template for writing a LATEXdocument suitable for homework
assignments and projects in Math 475. First be sure to put your name and the assignment
above. The first few "problems" will explain how the document works. Then there will be some
"problems" that illustrate various notations and formatting environments. Compare what is
in the typeset version of this document to the file latexsample.tex. Note in particular that
anything typed after a percent sign in the text file is treated as a comment and is ignored by
the compiler. Comments in the text file refer both to LATEXand to hints about writing good
solutions and proofs.
(a) To list things in numerical order, use the "enumerate" command. This can be nested as
shown.
(b) To list things that are not in numerical order, you can use the "itemize" command.
· If you don't put anything after the item, it will look like this with a bullet.
Problem 1.3.1 If you want to put something else, other than a number, letter or bullet,
use the description command, and put what you want in square brackets.
Problem 1.3.2 This is what you should use if you need numbers that aren't in numerical
order, such as homework or project exercises.
(c) Don't forget to end each enumerate and itemize loop.
(d) If you don't, you will get an error when you compile.
2. The very basics of LATEX(compare the typeset document and the text file):
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This updated and refreshed version of CGP's bestselling Revision Guide is the ideal companion to Foundation Level GCSE Maths - it even includes a free online edition that can be used wherever you have internet access. Every topic is explained in a concise, friendly style, with a sprinkling of CGP humour to keep things interesting. Grade information is included to show the difficulty level of each topic, and there are summary questions at the bottom of each page to test you on the important skills. And finally, a unique code is printed in the book that gives you access to the free online digital version (which also includes fully worked answers to all the test questions in the book
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Schaum's Easy Outlines : Trigonometry - 02 edition
Summary: Boiled-down essentials of the top-selling Schaum's Outline series for the student with limited time
What could be better than the bestselling Schaum's Outline series? For students looking for a quick nuts-and-bolts overview, it would have to be Schaum's Easy Outline series. Every book in this series is a pared-down, simplified, and tightly focused version of its predecessor. With an emphasis on clarity and brevity, each new title features a streamlined and ...show moreupdated format and the absolute essence of the subject, presented in a concise and readily understandable form.
Graphic elements such as sidebars, reader-alert icons, and boxed highlights stress selected points from the text, illuminate keys to learning, and give students quick pointers to the essentials.
Designed to appeal to underprepared students and readers turned off by dense text
Cartoons, sidebars, icons, and other graphic pointers get the material across fast
Concise text focuses on the essence of the subject
Delivers expert help from teachers who are authorities in their fields
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Secondary Solutions
Curricula Proven to Help All Students Succeed in Math
Carnegie Learning Blended Math Curricula is different; our combination of task-based math textbooks and engaging Cognitive Tutor software is being used across the country to help secondary students achieve success in math. It's a better way to teach, and a better way to learn. And we have over 20 years of research to prove it. With our help, your students can achieve true mathematical understanding, and they'll actually enjoy doing it.
Curricula Offerings
Program Features
Our unique approach involves splitting instructional time between student-centered instruction in the classroom and self-paced learning using our adaptive software. Students spend 60% of the time in the classroom using our textbooks in an approach that involves task-based lessons, collaborative learning, and real-world problems and contexts. The remaining 40% of students' time is spent learning via our Cognitive Tutor software, which offers the most precise method for differentiating instruction available
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