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Class Schedule
MAT135: General Education Mathematics
MAT135: General Education Mathematics - 6 Hours
This course is designed to fulfill general education requirements, and not designed as a prerequisite for any other college mathematics course. It focuses on mathematical reasoning and the solving of real-life problems, rather than routine skills. Topics include counting techniques and probability, logic and set theory, the mathematics of finance, and statistics. Some of the topics may be substituted with geometry, graph theory, mathematical modeling, game theory, or linear programming.
| 677.169 | 1 |
9780201726343
ISBN:
0201726343
Edition: 5 Pub Date: 2003 Publisher: Pearson
Summary: This text is organised into 4 main parts - discrete mathematics, graph theory, modern algebra and combinatorics (flexible modular structuring). It includes a large variety of elementary problems allowing students to establish skills as they practice.
Ralph P. Grimaldi is the author of Discrete and Combinatorial Mathematics: An Applied Introduction, Fifth Edition, published 2003 under ISBN 9780201726343 and 0...201726343. Eight hundred forty Discrete and Combinatorial Mathematics: An Applied Introduction, Fifth Edition textbooks are available for sale on ValoreBooks.com, one hundred fifty used from the cheapest price of $76.80, or buy new starting at $132.52201726343-4-0-3 Orders ship the same or next business day. Expedited shipping within U.S. [more]
May include moderately worn cover, writing, markings or slight discoloration. SKU:9780201726
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1 Answer
John Stillwell, Elements of Number Theory (Springer 2002). This is by a masterly expositor, and is particularly approachable.
G.H. Hardy and E.M. Wright, An Introduction to the Theory of Numbers (OUP 1938, and still going strong with a 6th edition in 2008). Also aimed at beginning undergraduate mathematicians and pleasingly accessible.
Alan Baker, A Comprehensive Course in Number Theory (CUP 2012) is a nice recent textbook (and a lot shorter than its title would suggest, too).
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I ordered this to refresh my mathematics 40 years after taking a degree in physics. I was looking for a book to cover all the techniques that I vaguely remember with a practical approach that starts with the very basics but includes all the detail needed. This book does just that. The emphasis is on the application of mathematical techniques and examples from physics and engineering are frequently explored to illustrate the theory.
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Intermediate Algebra : An Applied Approach - Text Only - 7th edition
Summary: With its complete, interactive, objective-based approach, Intermediate Algebra: An Applied Approach, is a best-seller in this market. The Seventh Edition provides mathematically sound and comprehensive coverage of the topics considered essential in an intermediate algebra course. The text includes chapter-opening Prep Tests, updated applications, and a new design. A robust Instructor's Annotated Edition features a comprehensive selection of instructor support materia...show morels. The Aufmann Interactive Method is incorporated throughout the text, ensuring that students interact with and master the concepts as they are presented. This approach is especially important in the context of rapidly growing distance-learning and self-paced laboratory situations. ...show less
Focus on Problem Solving: Proof in MathematicsProjects and Group Activities: Finding the Maximum or Minimum of a Function Using a Graphing Calculator, Business Applications of Maximum and Minimum Values of Quadratic Functions
Final Examination Appendix Keystroke Guide Proofs of Logarithmic Properties Proof of the Formula for the Sum of n Terms of an Geometric Series Proof of the Formula for the Sum of n Terms of an Arithmetic Series Table of Symbols Table of Measurement Abbreviations Solutions to You Try Its Answers to Odd-Numbered Exercises
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Elementary Number Theory
9780072325690
ISBN:
0072325690
Edition: 5 Pub Date: 2001 Publisher: McGraw-Hill Higher Education
Summary: "Elementary Number Theory," Sixth Edition, is written for the one-semester undergraduate number theory course taken by math majors, secondary education majors, and computer science students. This contemporary text provides a simple account of classical number theory, set against a historical background that shows the subject's evolution from antiquity to recent research. Written in David Burton's engaging style, Elem...entary Number Theory reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history.
Burton, David M. is the author of Elementary Number Theory, published 2001 under ISBN 9780072325690 and 0072325690. Sixteen Elementary Number Theory textbooks are available for sale on ValoreBooks.com, eleven used from the cheapest price of $2.61, or buy new starting at $74.49.[read moreWorn Corners and/or Edges (Possibly Bent). Discoloration, Tanning or Foxing on cover and pages. Stains on Edges of Pages. Writing on Pages. Used-Acceptable. Reading Copy. May have damage to cover, notes, underlining, highlighting, but all text legible. May have tears ro DJ or missing DJ. "Our Business is Changing Lives."[
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Because of its large command structure and intricate syntax, Mathematica can be difficult to learn. Wolfram's Mathematica manual, while certainly comprehensive, is so large and complex that when trying to learn the software from scratch -- or find answers to specific questions -- one can be quickly overwhelmed. A Beginner's Guide to Mathematica offers... more...
Computing with Mathematica, 2nd edition is engaging and interactive. It is designed to teach readers how to use Mathematica efficiently for solving problems arising in fields such as mathematics, computer science, physics, and engineering. The text moves from simple to complex, often following a specific example on a number of different levels. This... more...
This third edition of Mathematica by Example is completely compatible with recent Mathematica versions. Highly readable and informative, this volume is geared toward the beginning Mathematica user, and focuses on the most often used features of this powerful tool. The book covers popular applications of mathematics within different areas including... more...
Maple by Example, Third Edition , is a reference/text with CD for beginning and experienced students, professional engineers, and other Maple users. This new edition has been updated to be compatible with the most recent release of the Maple software. Coverage includes built-in Maple commands used in courses and practices that involve calculus, linear,... more...
This textbook provides a comprehensive introduction to the theory and practice of validated numerics, an emerging new field that combines the strengths of scientific computing and pure mathematics. In numerous fields ranging from pharmaceutics and engineering to weather prediction and robotics, fast and precise computations are essential. Based on... more...
This revised and updated second edition maintains the content and spirit of the first edition and includes a new chapter, "Recent Experiences", that provides examples of experimental mathematics that have come to light since the publication of the first edition in 2003. For more examples and insights, Experimentation in Mathematics: Computational Paths... more...
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Summary: This best-selling text emphasizes solid mathematics content, problem-solving skills, and analytical techniques. The eighth....show more Students using this text will receive solid preparation in mathematics, develop confidence in their math skills and benefit from teaching and learning techniques that really work.
Features
NCTM Principles and Standards for School Mathematics fully integrated throughout the text.
Chapter One is devoted to problem-solving with an added emphasis on inductive versus deductive reasoning.
Problem Solving Strategies are integrated throughout the text and reinforce the strong problem solving theme introduced in Chapter One.
There is an increased focus on algebraic thinking throughout the whole text.
A Preliminary Problem begins each chapter to get students interested in the topics about to be discussed. These have all been updated in this edition.
Applications of Mathematics are integrated throughout the text.
Laboratory Activities are integrated throughout the book to provide hands-on learning exercises. A separate activities manual is also available.
Questions from the Classroom present questions posed by actual students in K-8 classrooms.
Student Pages are included to show how the mathematics is actually introduced to the K-8 student and are referenced throughout the text.
Problem Sets contain six different types of problems (1) on-going assessment, (2) communication, (3) open-ended, (4) cooperative learning, (5) technology, and (6) review. Communication, open-ended, and cooperative learning problem sections are included to conform with the major Standards' processes. A major focus of the revision was to make the exercise sets more even with regard to level.
Integers and the Operations of Addition and Subtraction. Multiplication and Division of Integers. Divisibility. Prime and Composite Numbers. Greatest Common Divisor and Least Common Multiple. *Clock and Modular Arithmetic.
5. Rational Numbers as Fractions.
The Set of Rational Numbers. Addition and Subtraction of Rational Numbers. Multiplication and Division of Rational Numbers. Proportional Reasoning.
How Probabilities Are Determined. Multistage Experiments with Tree Diagrams and Geometric Probabilities. Using Simulations in Probability. Odds, Conditional Probability, and Expected Value. Using Permutations and Combinations in ProbabilityInstructor's Edition
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Linear Algebra
9780201526752
ISBN:
0201526751
Pub Date: 1995 Publisher: Addison-Wesley
Summary: Fraleigh and Beauregard's text is known for its clear presentation and writing style, mathematical appropriateness, and overall student usability. Its inclusion of calculus-related examples, true/false problems, section summaries, integrated applications, and coverage of Cn make it a superb text for the sophomore or junior-level linear algebra course. This Third Edition retains the features that have made it successf...ul over the years, while addressing recent developments of how linear algebra is taught and learned. Key concepts are presented early on, with an emphasis on geometry.
Fraleigh, John B. is the author of Linear Algebra, published 1995 under ISBN 9780201526752 and 0201526751. Three hundred ninety Linear Algebra textbooks are available for sale on ValoreBooks.com, one hundred twenty nine used from the cheapest price of $17.73, or buy new starting at $98edited shipping within U.S. will arrive in 3-5 days. Hassle free 14 day return policy. Contact Customer Service for questions.[less]
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Analytical Problem Solving: A Prototype for Curriculum Restructuring
For six years, Daniel Maki (Mathematics) and Wayne Winston (Business) of IU-Bloomington have been team-teaching a successful, practical, tool-oriented course, entitled Analytical Problem Solving. The majority of the students who take this course are liberal arts
majors (English, foreign languages, history, social sciences, etc.) in the Liberal Arts in Management Program (LAMP) who wish to learn how
mathematics is used in business. The course is based on the idea that most students will appreciate mathematics more if they see an immediate use for it. With this in mind, the entire course is built around group projects. In addition, it has the following distinctive features which students find especially appealing:
Real problems, obtained from businesses and governmental units, are used to motivate the mathematical topics covered. The course is project-driven with topics covered matching the knowledge needed to complete the projects;
All mathematical topics taught in the course are then used immediately in the projects; thus, the students see the usefulness of mathematics in solving a diverse set of real-life problems;
Students work in teams using technology to implement the
mathematical tools developed in the class for the projects;
Students are required to document, explain, and defend their
mathematical work, thereby honing their communications skills and providing them with a sense of closure and accomplishment.
An example of a project is the scheduling of tellers at a local credit union. Students began by collecting data on service times. Then they used hourly and daily customer data to develop a model
that could be used to forecast the workload at the credit union at any time. Next queuing theory was used to determine, as a function of the forecasted workload and service rate, the number of tellers needed at any given time. Then a user-friendly spreadsheet was developed that could be used by the credit union personnel manager to determine her manpower needs at any time. Finally a linear programming model was developed to help determine the minimum cost of scheduling tellers to meet forecasted manpower needs. This single project required the students to utilize basic statistics, regression analysis, queuing theory, advanced spreadsheet techniques, and linear programming.
The project-oriented structure of Analytical Problem Solving also suggests that it can be transplanted easily and naturally if well-documented teaching modules are developed. Indeed, a library of such teaching modules, built up and shared by members of ICUE-Math, would provide a
rich source of materials with which any instructor could construct a similar course to suit the special needs and background of his or her students.
As we proceed with interdisciplinary course development and curriculum restructuring, we will draw on the experience and lessons learned from Analytical Problem Solving during the past six years. It is clearly not always possible, nor is it desirable, to make every course totally project-oriented. Nevertheless, the steering
committees of the project will make every effort to ensure that the
basic idea which makes Analytical Problem Solving so successful-i.e., most students will appreciate mathematics more if they see an immediate use for it-will be used as guidepost in our course
development effort.
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Queensgate, WA Algebra
...It is highly optimized for numeric computations. It allows one to perform numerical calculations much faster compared to programming languages like C, C++ and Java. We can visualize the results using graph plotting
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Intermediate Algebra - With CD - 6th edition
Summary: Key Message:TheTobey/Slater seriesbuilds essential skills one at a time by breaking the mathematics down into manageable pieces. This practical ''building block'' organization makes it easy for readers to understand each topic and gain confidence as they move through each section. The authors provide a ''How am I Doing?'' guide to give readers constant reinforcement and to ensure that they understand each concept before moving on to the next. With Tobey/Slater, readers have a tutor a...show morend study companion with them every step of the way. Key Topics:Basic Concepts; Linear Equations and Inequalities; Equations and Inequalities in Two Variables and Functions; Systems of Linear Equations and Inequalities; Polynomials; Rational Expressions and Equations; Rational Exponents and Radicals; Quadratic Equations and Inequalities; The Conic Sections; Additional Properties of Functions; Logarithmic and Exponential Functions Market:For all readers interested in basic college mathematics. ...show less
Book has a small amount of wear visible on the binding, cover, pages. Selection as wide as the Mississippi.
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Algebra and Trigonometry with Analytic Geometry
Retains the elements that have made it so popular with instructors and students alike: clear exposition, an appealing and uncluttered layout, and ...Show synopsisRetains the elements that have made it so popular with instructors and students alike: clear exposition, an appealing and uncluttered layout, and applications-rich exercise sets. This title covers some more challenging topics, such as Descartes' Rule of Signs and the Theorems on BoundsReviews of Algebra and Trigonometry with Analytic Geometry
This is a common secondary level text. Like most current texts of this type, it fails to give the reader any understanding of the breadth of this subject as developed over the last 150 years. There are a number of useful tricks of interest to engineers, computer graphics specialists, and other 3D modelers that this text does not even point to for additional reading. However, for its intended audience, it delivers adequately but still does not entice the imagination
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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.
Required to take the course:
Disk 1 - Contains the Teachers Guide. These are PDF files to be used on your computer. They can be printed as needed. The same files can be downloaded. (See below.)
Disk 2 - DVD covers the introduction to chapter 5.4
Disk 3 - DVD covers chapter 5.5 to 7.7a
Disk 4 - DVD covers chapter 7.7b to 10.2
Disk 5 - DVD covers chapter 10.3 to 11.8
Disk 6 - DVD covers chapter 12.1 to 17.4
2. Elementary Algebra by Jacobs Textbook(SKU 1212): Elementary Algebra , by Harold R. Jacobs. ISBN: 0716710471. Since this book is between printers, we currently do not have this book in stock. Most other vendors are also sold out. So the best thing to do is to order a used copy from Amazon.
Notes: Even though this text has a few print dates, their is only one edition. So do not worry about any dates. Also the new printing is NOT expected to be complete this year.
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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Introductory Algebra - 4th edition
Summary: Elayn Martin-Gay firmly believes that every student can succeed, and her developmental math textbooks and video resources are motivated by this belief.Introductory Algebra, Fourth Editionwas written to provide students with a solid foundation in algebra and to help stuents make the transition to intermediate algebra. The new edition offers new resources like theStudent Organizerand now includesStudent Resourcesin the back of the book to help students on their que...show morest43.00 +$3.99 s/h
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The Mathematics GCSE does not just begin in Year 10. Students are building up their knowledge and skills throughout Key Stage 3 and the work then continues with consolidation and further development of these aspects.
Students follow a Linear GCSE course with two examinations in the summer of Year 11, one calculator and one non-calculator. Students will be entered for either Foundation or Higher tier, the decision on which tier to enter is governed only by a student's strengths in the subject. Being in a particular Mathematics set does not necessarily mean entry at a particular tier of the final exam. At Higher Tier, grades A* to D are available. At Foundation Tier, grades C to G are available.
Homework is generally set weekly and may take a variety of forms, e.g. worksheets or activities to consolidate or assess understanding, preparation for future lessons, revision for exams, practice exam papers and online tasks. The department has its own dedicated homework website where parents can check the work which has been set. The URL for this is Students also have individual passwords for the MyMaths.co.uk website and can use this to help them review classwork, revise for exams or complete assigned homework.
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Combinatorial problems have been from the very beginning part of the history of mathematics. By the Sixties, the main classes of combinatorial problems had been defined. During that decade, a great number of research contributions in graph theory had been produced, which laid the foundations for most of the research in graph optimization in the following... more...
This volume is a tribute to the life and mathematical work of G.A. Dirac (1925-1984). One of the leading graph theorists, he developed methods of great originality and made many fundamental discoveries. The forty-two papers are all concerned with (or related to) Dirac's main lines of research. A number of mathematicians pay tribute to his memory by... more...
This Second Edition of a classic algebra text includes updated and comprehensive introductory chapters,. new material on axiom of Choice, p-groups and local rings, discussion of theory and applications, and over 300 exercises. It is an ideal introductory text for all Year 1 and 2 undergraduate students in mathematics. - ;Developed to meet the needs... more...
Learning homological algebra is a two-stage affair. Firstly, one must learn the language of Ext and Tor, and what this describes. Secondly, one must be able to compute these things using a separate language. This title provides a treatment of homological algebra which approaches the subject in terms of its origins in algebraic topology. more...
Focuses on problems involving colored objects, and results about the existence of certain exciting and unexpected properties that occur regardless of how these objects are colored. This book also addresses famous and exciting problems of Ramsey Theory, along with the history surrounding the discovery of Ramsey Theory. more...
Synthesizes the implications of research done by the National Center for Research in Mathematical Sciences on integrating two somewhat disparate bodies of scholarly inquiry: the studies of teaching and the study of learning mathematics. more...
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Understanding Intermediate Algebra - With CD - 6th edition
Summary: Lewis Hirsch and Alan Goodman strongly believe that students can understand what they are learning in algebra and why. The authors meticulously explain why things are done in a certain way, illustrate how and why concepts are related and demonstrate how 'new' topics are actually new applications of concepts already learned. The authors introduce topics at an elementary level and return to them at increasing levels of complexity. Their gradual introduction of concepts...show more, rules, and definitions through a wealth of illustrative examples - both numerical and algebraic-helps students compare and contrast related ideas and understand the sometimes subtle distinctions among a variety of situations. Through this learning this author team carefully prepares students to succeed in higher-level mathematics. ...show less
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Course prepares students for an introductory algebra course by covering the fundamental concepts, operations, and applications of arithmetic in basic algebraic contexts, including linear equations and graphing. Arithmetic topics include integers, fractions, decimals, percents, measurement and signed numbers. This is an introduction to sets, signed numbers, equations, exponents, polynomials, factoring and graphing. Computer software will be utilized to facilitate learning objectives.
IV. Learning Objectives
Module 6 Objectives: Solving and graphing first degree equations in one variable. Successfully solving formulas for specific variables. Demonstrating the ability to solve applied problems involving first degree equations in one variable. Successfully solving and graphing first degree inequalities in one variable.
Module 7 Objectives: Being able to simplify expressions using the laws of exponents. Demonstrated abilty to calculate using Scientific Notation. Being able to perform addition and subtraction of polynomials. Performing multiplication of polynomials including some special products. Performing division of a polynomial by a monomial.
Module 8 Objectives: Being able to factor out the greatest common factor from a polynomial. Factoring trinomials successfully. Being able to factor polynomials using the difference of squares. Providing evidence of the ability to solve quadratic equations by factoring.
Module 9 Objectives: Solve and graph first degree equations in two variables. Calculate slope and intercepts of linear equations in two variables. Solve applied problems involving slope. Solve and graph first degree inequalities in two variables.Methods of instruction include one-on-one and/or small group discussion, and required website ancillaries. Calculators/computers will be used.
Course may be taught as face-to-face, media-based, hybrid or online course.
VIII. Course Practices Required
This course will be taught by a classroom instructor with the use of an interactive computer website. Course participants must attend scheduled class hours as well as one computer lab hour per week. Students may be dropped from the course if they miss more than three class sessions or three lab hours.
The course is divided into five modules. Each module must be completed with a minimal post-test score of 80% to proceed to the next module. All course work must be completed in a notebook.
Course may be taught as face-to-face, media-based, hybrid or online course.
Students may complete a course at any time during the semester. Upon completion of a course, the student can start the next sequential course. A new access code must be purchased at that time. If all modules of a course are not successfully completed within a semester, the student can re-enroll in the same course the following semester beginning with their first uncompleted module.
IX. Instructional Materials
Note: Current textbook information for each course and section is available on Oakton's Schedule of Classes.
Textbook information for each course and section is available on Oakton's Schedule of Classes. Within the Schedule of Classes, textbooks can be found by clicking on an individual course section and looking for the words "View Book Information".
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aims to bridge the student's first experience manipulating algebraic expressions to the more abstract skills they will develop in later courses. Students begin with a review of topics from elementary algebra. Inequalities take on a greater role and complex numbers are introduced. After the review and extension of the quadratic equation, the course takes on a more abstract and graphing direction, dealing with two variables, relations and functions and systems of equations and inequalities. Each concept is illustrated with an example, followed by a parallel problem wth an answer. The book contains many realistic applications from the physical sciences, business and economics and social sciences, and chapter review sections include a summary of the important terms and symbols.
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Rules of operations are used and when operations are devised for things other than numbers. Addition, subtraction, multiplication, and division can be generalized and their precise definitions lead to structures such as groups, rings and fields. I had a solid background in math for Prealgebra before taking Algebra.
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21.3.1. Polynomials and poly-type functions near [infinity] and -[infinity]
21.3.2. Trig function near [infinity] and -[infinity]
21.3.3. Exponentials near [infinity] and -[infinity]
21.3.4. Logarithms near [infinity]
21.4. Behavior of common functions near 0
21.4.1. Polynomials and poly-type functions near 0
21.4.2. Trig functions near 0
21.4.3. Exponentials near 0
21.4.4. Logarithms near 0
21.4.5. The behavior of more general functions near 0
21.5. How to deal with problem spots not at 0 or [infinity]
22. Sequences and series : basic concepts
22.1. Convergence and divergence of sequences
22.1.1. The connection between sequences and functions
22.1.2. Two important sequences
22.2. Convergence and divergence of series
22.2.1. Geometric series (theory)
22.3. The nth term test (theory)
22.4. Properties of both infinite series and improper integrals
22.4.1. The comparison test (theory)
22.4.2. The limit comparison test (theory)
22.4.3. The p-test (theory)
22.4.4. absolute convergence test
22.5. New tests for series
22.5.1. The ratio test (theory)
22.5.2. The root test (theory)
22.5.3. The integral test (theory)
22.5.4. The alternating series test (theory).
23. How to solve series problems
23.1. How to evaluate geometric series
23.2. How to use the nth term test
23.3. How to use the ratio test
23.4. How to use the root test
23.5. How to use the integral test
23.6. Comparison test, limit comparison test, and p-test
23.7. How to deal with series with negative terms
24. Taylor polynomials, Taylor series, and power series
24.1. Approximations and Taylor polynomials
24.1.1. Linearization revisited
24.1.2. Quadratic approximations
24.1.3. Higher-degree approximations
24.1.4. Taylor's theorem
24.2. Power series and Taylor series
24.2.1. Power series in general
24.2.2. Taylor series and Maclaurin series
24.2.3. Convergence of Taylor series
24.3. A useful limit
25. How to solve estimation problems
25.1. Summary of Taylor polynomials and series
25.2. Finding Taylor polynomials and series
25.3. Estimation problems using the error term
25.3.1. First example
25.3.2. Second example
25.3.3. Third example
25.3.4. Fourth example
25.3.5. Fifth example
25.3.6. General techniques for estimating the error term
25.4. Another technique for estimating the error.
26. Taylor and power series : how to solve problems
26.1. Convergence of power series
26.1.1. Radius of convergence
26.1.2. How to find the radius and region of convergence
26.2. Getting new Taylor series from old ones
26.2.1. Substitution and Taylor series
26.2.2. Differentiating Taylor series
26.2.3. Integrating Taylor series
26.2.4. Adding and subtracting Taylor series
26.2.5. Multiplying Taylor series
26.2.6. Dividing Taylor series
26.3. Using power and Taylor series to find derivatives
26.4. Using Maclaurin series to find limits
27. Parametric equations and polar coordinates
27.1. Parametric equations
27.1.1. Derivatives of parametric equations
27.2. Polar coordinates
27.2.1. Converting to and from polar coordinates
27.2.2. Sketching curves in polar coordinates
27.2.3. Find tangents to polar curves
27.2.4. Finding areas enclosed by polar curves
28. Complex numbers
28.1. The basics
28.1.1. Complex exponentials
28.2. The complex plane
28.2.1. Converting to and from polar form
28.3. Taking large powers of complex numbers
28.4. Solving zn = w
28.4.1. Some variations
28.5. Solving ez = w
28.6. Some trigonometric series
28.7. Euler's identity and power series.
29. Volumes, arc lengths, and surface areas
29.1. Volumes of solids of revolution
29.1.1. The disc method
29.1.2. The shell method
29.1.3. Summary ... and variations
29.1.4. Variation 1 : regions between a curve and the y-axis
29.1.5. Variation 2 : regions between two curves
29.1.6. Variation 3 : axes parallel to the coordinate axes
29.2. Volumes of general solids
29.3. Arc lengths
29.3.1. Parametrization and speed
29.4. Surface areas of solids of revolution
30. Differential equations
30.1. Introduction to differential equations
30.2. Separable first-order differential equations
30.3. First-order linear equations
30.3.1. Why the integrating factor works
30.4. Constant-coefficient differential equations
30.4.1. Solving first-order homogeneous equations
30.4.2. Solving second-order homogeneous equations
30.4.3. Why the characteristic quadratic method works
30.4.4. Nonhomogeneous equations and particular solutions
30.4.5. Funding a particular solution
30.4.6. Examples of finding particular solutions
30.4.7. Resolving conflicts between yP and yH
30.4.8. Initial value problems (constant-coefficient linear)
30.5. Modeling using differential equations.
Appendix A : Limits and proofs
A.1. Formal definition of a limit
A.1.1. A little game
A.1.2. The actual definition
A.1.3. Examples of using the definition
A.2. Making new limits from old ones
A.2.1. Sums and differences of limits, proofs
A.2.2. Products of limits, proof
A.2.3. Quotients of limits, proof
A.2.4. The sandwich principle, proof
A.3. Other varieties of limits
A.3.1. Infinite limits
A.3.2. Left-hand and right-hand limits
A.3.3. Limits at [infinity] and -[infinity]
A.3.4. Two examples involving trig
A.4. Continuity and limits
A.4.1. Composition of continuous functions
A.4.2. Proof of the intermediate value theorem
A.4.3. Proof of the max-min theorem
A.5. Exponentials and logarithms revisited
A.6. Differentiation and limits
A.6.1. Constant multiples of functions
A.6.2. Sums and differences of functions
A.6.3. Proof of the product rule
A.6.4. Proof of the quotient rule
A.6.5. Proof of the chain rule
A.6.6. Proof of the extreme value theorem
A.6.7. Proof of Rolle's theorem
A.6.8. Proof of the mean value theorem
A.6.9. The error in linearization
A.6.10. Derivatives of piecewise-defined functions
A.6.11. Proof of l'Hôspital's rule
A.7. Proof of the Taylor approximation theorem
Appendix B : Estimating integrals
B.1. Estimating integrals using strips
B.1.1. Evenly spaced partitions
B.2. The trapezoidal rule
B.3. Simpson's rule
B.3.1. Proof of Simpson's rule
B.4. The error in our approximations
B.4.1. Examples of estimating the error
B.4.2. Proof of an error term inequality
List of symbols
Index.
Summary:
"Finally, a calculus book you can pick up and actually read! Developed especially for students who are motivated to earn an A but only score average grades on exams, The Calculus Lifesaver has all the essentials you need to master calculus."--Jacket.
| 677.169 | 1 |
Abstract Algebra: An Introduction
Abstract Algebra: An Introduction is set apart by its thematic development and organization. The chapters are organized around two themes: arithmetic ...Show synopsisAbstract Algebra: An Introduction is set apart by its thematic development and organization. The chapters are organized around two themes: arithmetic and congruence. Each theme is developed first for the integers, then for polynomials, and finally for rings and groups. This enables students to see where many abstract concepts come from, why they are important, and how they relate to one another. New to this edition is a "groups first" option that enables those who prefer to cover groups before rings to do so easily11569624-5-0-3 Orders ship the same or next business day. Expedited shipping within U.S. will arrive in 3-5 days. Hassle free 14 day return policy. Contact Customer Service for questions. ISBN: 9781111569624.
Description:Fair. 1111569622 Student Edition. Missing many pages. Heavy...Fair. 11115696
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The Matrix Algebra Tutor: Learning by Example DVD Series teaches students about matrices and explains why they're useful in mathematics. This episode teaches students how to multiply two matrices together. Grades 9-College. 60 minutes on DVD.
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Hemet SATThe functions used in linear equations, matrix and graphs gives the tools necessary for plotting points and processing point sets. The results of understanding linear Algebra are that the student can advance to the next level with the tools to "do the Math". Understanding Linear Algebra was valuable to me to achieve my degree in Administration.
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This ebook is available for the following devices:
iPad
Windows
Mac
Sony Reader
Cool-er Reader
Nook
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This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the reader. The problems emphasize beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Hölder, Hilbert, and Hardy. The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics. less
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MAT 107 Math for Elementary School Teachers: Real
Numbers
This is a sample syllabus only. Ask your instructor for the
official syllabus for your course.
Instructor:
Office:
Office hours:
Phone:
Email:
Course Description
This course is designed for prospective elementary school teachers.
Sets and set theoretic operations as related to counting numbers and rational numbers and arithmetic operations. Real number system and its origin, development, structure and use. Special emphasis on problem solving and the development and application of algorithms.
MAT 107 meets for three hours of lecture per week.
Prerequisites
Students must have satisfied the ELM requirement before
enrolling in MAT 107.
Expected outcomes
Students should be able to demonstrate through written
assignments, tests, and/or oral presentations, that they
have achieved the objectives of MAT 107.
Method of Evaluating Outcomes
Depending on the instructor, evaluation may be based on
homework, class participation, short tests, scheduled
examinations, journals, and portfolios covering students'
understanding of problem-solving; place value; algorithms;
rational numbers, decimals and integers; exponents; proportions
and percentages; and primes, composites, least common
multiples, and greatest common factors; and related topics that
are covered in MAT 107.
Text
Mathematics for Elementary Teachers: A Contemporary
Approach (5th edition), by Gary Musser and William
Burger.
Table of contents
Chapter 1-Introduction to Problem-Solving
Chapter 2-Sets, Whole Numbers, and Numeration
Sets and Whole Numbers
Whole Numbers and Numeration
Hindu-Arabic and Other Number Systems
functions
Chapter 3-Whole Number Operations
Addition, Subtraction, Multiplication, and
Division
Ordering and Exponents
Chapter 4-Whole Number Computation: Mental, Electronic,
and Written
Mental Math, Estimation and Calculators
Written Algorithms for Whole Number Operations
Chapter 5-Number Theory
Primes, Composites, and Tests for Divisibility
Counting Factors, Greatest Common Factor, and Least
Common Multiple
Chapter 6-Fractions
The Set of Fractions
Operations on Fractions both conceptually, and
algorithmically
Chapter 7-Decimals, Ratio and Proportion, and
Percent
Decimals and their Operations
Ratio and Proportion
Percents
Chapter 8-Integers
Concepts of addition, subtraction, multiplication,
and division on the Integer
Algorithms on the Integers
Chapter 9-Rational Numbers and Real Numbers, with an
Introduction to Algebra
Rational Numbers and Real Numbers
Algebra, Functions and their Graphs
Grading Policy
Students' grades may be based on homework, class
participation, short tests, journals, portfolios, and scheduled
examinations covering students' understanding of the topics
covered in MAT 107. The instructor will determine the relative
weights of these factors.
Attendance Requirements
Attendance policy is set by the instructor.
Policy on Due Dates and Make-Up Work
Due dates and policy regarding make-up work are set by
the instructor.
Schedule of Examinations
The instructor sets all test dates except the date of the
final exam. The final exam is given at the date and time
announced in the Schedule of Classes.
Academic Integrity
The mathematics department does not tolerate cheating.
Students who have questions or concerns about academic
integrity should ask their professors or the counselors in the
Student Development Office, or refer to the University Catalog
for more information. (Look in the index under "academic
integrity".)
Accomodations for Students with Disabilities
Cal State Dominguez Hills adheres to all applicable federal, state, and local laws, regulations, and guidelines with respect to providing reasonable accommodations for students with temporary and permanent disabilities. If you have a disability that may adversely affect your work in this class, I encourage you to register with Disabled Student Services (DSS) and to talk with me about how I can best help you. All disclosures of disabilities will be kept strictly confidential. Please note: no accommodation may be made until you register with the DSS in WH B250. For information call (310) 243-3660 or to use telecommunications Device for the Deaf, call (310) 243-2028.
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Intermediate Algebra : Graphs and Models - 3rd edition
Summary: The Third Edition of the Bittinger Graphs and Models series helps students succeed in algebra by emphasizing a visual understanding of concepts. This latest edition incorporates a new Visualizing the Graph feature that helps students make intuitive connections between graphs and functions without the aid of a graphing calculator.
3.1 Systems of Equations in Two Variables 3.2 Solving by Substitution or Elimination 3.3 Solving Applications: Systems of Two Equations 3.4 Systems of Equations in Three Variables 3.5 Solving Applications: Systems of Three Equations 3.6 Elimination Using Matrices 3.7 Determinants and Cramer's Rule 3.8 Business and Economics Applications
2007 Hardcover Fair PLEASE NOTE: Binding is damaged and may be loose. All pages are intact. Acceptable reading copy. Give this book a good home.
$5 TORN CONTAINER INSIDE
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Mathematics
This project is currently under initiation stage. The purpose is to provide an user friendly GUI in order to calculate the motion of a monofin in a liquid environment through the use of COMSOL and MAPLE
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This volume focuses on the interactions between mathematics, physics, biology and neuroscience by exploring new geometrical and topological modelling in these fields. Among the highlights are the central roles played by multilevel and scale-change approaches in these disciplines. The integration of mathematics with physics, as well as molecular and... more...
Most educated people are curious to know about mathematics that lies beyond what they learnt at school but has revolutionized science and technology so much so that the non-mathematician is awe-stricken with praise and wonder. This book provides a bird's-eye view of the related ideas and concepts in an easy to read style. Since long narratives... more...
Learn geometry at your own pace What are congruent circles? How do you find the hypotenuse of a triangle? What is the sum of the angles in a decagon? How can you apply geometric equations to your daily life? With the unbeatable study companion Geometry: A Self-Teaching Guide, you'll discover the answers to these questions and many more. This thorough... more...
You, too, can understand geometry---- just ask Dr. Math ? ! Are things starting to get tougher in geometry class? Don't panic. Dr. Math--the popular online math resource--is here to help you figure out even the trickiest of your geometry problems. Students just like you have been turning to Dr. Math for years asking questions about math problems,...Meyer's Geometry and Its Applications, Second Edition , combines traditional geometry with current ideas to present a modern approach that is grounded in real-world applications. It balances the deductive approach with discovery learning, and introduces axiomatic, Euclidean geometry, non-Euclidean geometry, and transformational geometry. The text... more...
Say goodbye to dry presentations, grueling formulas, and abstract theory that would put Einstein to sleep--now there's an easier way to master chemistry, biology, trigonometry, and geometry. McGraw-Hill's Demystified Series teaches complex subjects in a unique, easy-to-absorb manner and is designed for users without formal training, unlimited time,... more...
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Deformable objects are ubiquitous in the world, on various levels from micro to macro. The need to study such shapes and model their behavior arises in a wide spectrum of applications, ranging from medicine to security. This book provides an overview of the state of science in analysis and synthesis of non-rigid shapes. more...
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Mathematical Application in Agriculture - 04 edition
Summary: This book teaches the many mathematical applications used in crop production, livestock production and financial management in the agriculture business, skills which are essential for success as an agriculture professional. By giving readers a solid foundation in arithmetic, applied geometry and algebra as they relate to agriculture, the material presented will help develop their ability to think through the many mathematical challenges they will face. Case studies, ...show moresample problems, charts, and graphs fully illustrate the important concepts presented.
Product Benefits:
Sample problems contain multiple operations so that students must put information together to get the desired final answer
All are real problems in agriculture, leading students to learn agricultural facts
The flexible presentation of the material lends itself to being taught in any order
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Contemporary's number power 8 : analyzing data
Number Power 8: Data introduces students to key concepts in data analysis. Interpreting and critically thinking about data are combined with hands-on ...Show synopsisNumber Power 8: Data introduces students to key concepts in data analysis. Interpreting and critically thinking about data are combined with hands-on learning activities, including constructing graphs and conducting Contemporary's Number Power 8: Analyzing Data (The Number...Good. Contemporary's Number Power 8: Analyzing Data (The Number power
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Diploma in Mathematics
The free online Diploma in Mathematics course from ALISON gives you a comprehensive knowledge and understanding of key subjects in mathematics. This course covers calculus, geometry, algebra, trigonometry, functions, vectors, data distributions, probability and probability and statistics. Math qualifications are in great demand from employers and this Diploma will greatly enhance your career prospects outcome
This course will greatly enhance your skills in many areas of mathematics, giving you a greater understanding of core mathematics components such as geometry, trigonometry, calculus and more as well as expanding your knowledge base in areas such as chance, data distributions, statistics, probability, correlations and regression.
You will learn about using binomial expansions for problem solving and will understand the relationship between the graphs of functions and their antiderivatives.
You will be able to confidently create graphs and make advanced calculations such as straight-line calculations, kinematics, motion, vectors, algebra, binomial expressions, and quadratic functions.
Modules in Diploma in Mathematics triangles such as similarity and congruence corresponding angles over parallel lines graphs of hyperbolae and ellipses and the transformation of hyperbolaeSummarising data This free online course is an introduction to summarising data and covers topics such as mean, mode, median, range, and interquartile rangeFrequency and graphs This free online course is an introduction to data types such as nominal data, discrete data, and continuous data, and how to summarise data using frequency tables and types of data such as nominal, discrete and continuous data, and how to create frequency tables from all kinds This free online course covers the use of different types of graphs such as pie charts, line graphs, and barIntroduction to probability This free online course is an introduction to probability and how to calculate probabilityProbability and relative frequency This free online course is an introduction to probability and relative frequencyHypergeometric distribution This free online course covers topics related to the hypergeometric distribution and calculating the mean and variance of hypergeometric distributions.
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The Contents tab displays all the vectors such as parametric equations differentiation and antidifferentiation of vectorsMichael O MahonyIreland
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It is successful course, It is giving us more knowledge about Mathematics. 2014-06-07 05:06:11
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Math.NET aims to provide a self contained clean framework for symbolic mathematical (Computer Algebra System) and numerical/scientific computations, including a parser and support for linear algebra, complex differential analysis, system solving and more
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book is intended as a Partial Differential Equations (PDEs) reference for individuals who already posses a firm understanding of ordinary differential equations and at least have a basic idea of what a partial derivative is. This book is meant to be easily readable to engineers and scientists while still being (almost) interesting enough for mathematics students. Be advised that in depth proofs of such matters as series convergence, uniqueness, and existence will not be given; this fact will appall some and elate others. This book is meant more toward solving or at the very least extracting information out of problems involving partial differential equations. The first few chapters are built to be especially simple to understand so that, say, the interested engineering undergraduate can benefit; however later on important and more mathematic topics such as vector spaces will be introduced and used.״
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This is a collection of approximately 20 applets in Precalculus, Calculus, Ordinary Differential and Difference Equations, Partial Differential Equations, Numerical Analysis, and Numerical Partial Differential Equations. All applets are graphical in nature.
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30 Mathematics Lessons Using the TI-15 (Enhanced eBook learners grasp mathematical concepts and skills with lessons that integrate calculator use. These books provide step-by-step mathematics lessons that incorporate the use of the TI-10 and TI-15 calculators throughout the learning process. The 30 lessons present mathematics in a real-world context and cover each of the five strands including numbers and operations, geometry, algebra, measurement, and data analysis and probability
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Master discrete mathematics with Schaum's--the high-performance solved-problem guide.
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A Perfect Plan for the Perfect Score WeDesigned for those seeking help studying calculus in school - also valuable for adults attempting to learn/re-learn calculus. A resource for instructors supplementing their instruction. 501 Calculus Problems helps users prepare for academic exams and build problem-solving skills. Unlike textbooks, full answer explanations are provided for all problems.... more...
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More Views
New Additional Mathematics
New Additional Mathematics is written for students preparing for the GCE 'O' Level Additional Mathematics examination paper.
This book closely follows the revised syllabus and includes five new chapters on Sets, Matrices, Permutations and Combinations, Kinematics and Relative Velocity. Some Challenging questions (indicated by *) and Critical Thinking Problems (indicated by *) are placed at appropriate places for more able students. Suggestions on the use of IT and open tools to promote dynamic learning have been added where relevant (indicated by a laptop). These open tools include spreadsheets and graph plotters.
All basic concepts are explained and developed clearly through comprehensive illustrations and worked examples. Important concepts applied for problem solving in some examples are highlighted by short notes. Simple questions for direct application of basic concepts and formulae are given at the beginning of each graded exercise —students are encouraged to attempt these.
The main text contains clear presentation of basic concepts with simple illustrations, the derivation and application of useful formulae, important facts and the process of problem solving through examples.
At the end of each chapter, all basic concepts, formulae and problem-solving methods are summarised in the Important Notes. This is followed by harder examples and more questions in the Miscellaneous Exercise.
To assist students in their revision and examination preparation, five sets of graded revision exercises are placed at various appropriate stages of learning, in addition to two assessment papers at the end of the book.
SPECIAL FEATURES
Clear and concise explanation of concepts
Relevant examples
IT-based activities for exploration and extension
Great variety of questions
Questions that develop higher-order thinking skills
Overview of each chapter
Revision exercises and assessment papers
Answers and index for easy reference
CONTENTS
1 SETS
1.1 Introduction to Sets
1.2 Intersection and Union of Sets
1.3 Applications
Important Notes
Miscellaneous Exercise 1
2 SIMULTANEOUS EQUATIONS
2.1 Simultaneous Linear Equations in Two Unknowns
2.2 Simultaneous Linear and Non-Linear Equations in Two Unknowns
Important Notes
Miscellaneous Exercise 2
3 INDICES , SURDS, and LOGARITHMS
3.1 Indices (Exponents) and Surds
3.2 Exponential Equations
3.3 Logarithms
3.4 Common and Natural Logarithms
3.5 Laws of Logarithms
3.6 Logarithmic Equations
Important Notes
Miscellaneous Exercise 3
4 QUADRATIC EXPRESSIONS and EQUATIONS
4.1 Maximum/Minimum Values of a Quadratic Expression
4.2 Roots of a Quadratic Equation
4.3 Solving Quadratic Inequalities
Important Notes
Miscellaneous Exercise 4
5. REMAINDER AND FACTOR THEOREMS
5.1 Polynomial Identities
5.2 Remainder Theorem
5.3 Factor Theorem
5.4 Solving Cubic Equations
Important Notes
Miscellaneous Exercise 5
Revision Exercise 1
Revision Exercise 2
Revision Exercise 3
Revision Exercise 4
6. MATRICES
6.1 Represent Information as a Matrix
6.2 Addition, Subtraction and Scalar Multiplication of Matrices
6.3 Multiplication of Matrices
6.4 Determinant and Inverse of a 2 x 2 Matrix
6.5 Solving Simultaneous Equations by a Matrix Method
Important Notes
Miscellaneous Exercise 6
7. COORDINATE GEOMETRY
7.1 Distance between Two Points
7.2 Midpoint of the Line Joining Two Points
7.3 Gradient of a Line Passing through Two Points
7.4 Equations of Straight Lines
7.5 Equations of Parallel and Non-Parallel Lines
7.6 Equations of Perpendicular Lines
7.7 Perpendiculat Bisector
7.8 Intersection of a Straight Line and a Curve
Important Notes
Miscellaneous Exercise 7
8. LINEAR LAW
8.1 Linear Law
Important Notes
Miscellaneous Exercise 8
9. FUNCTIONS
9.1 Introduction to Functions
9.2 Composite Functions
9.3 Inverse Functions
9.4 Absolute Valued Functions
Important Notes
Miscellaneous Exercise 9
Revision Exercise 5
Revision Exercise 6
Revision Exercise 7
Revision Exercise 8
10. TRIGONOMETRIC FUNCTIONS
10.1 Trigonometric Ratios and General Angles
10.2 Trigonometric Ratios of Any Angle
10.3 Graphs of the Sine, Cosine and Tangent Functions
10.4 Three More Trigonometric Functions
Important Notes
Miscellaneous Exercise
11. SIMPLE TRIGONOMETRIC IDENTITIES and EQUATIONS
11 .1 Simple Identities
11.2 Trigonometric Equations and More Graphs
Important Notes
Miscellaneous Exercise 11
12. CIRCULAR MEASURE
12.1 Radian Measure
12.2 Arc Length and Area of a Sector
Important Notes
Miscellaneous Exercise 12
13. PERMUTATIONS and COMBINATIONS
13.1 The Basic Counting Principle
13.2 Permutations
13.3 Combinations
Important Notes
Miscellaneous Exercise 13
14. BINOMIAL THEOREM
14.1 The Binomial Expansion of (1 + b)n
14.2 The Binomial Expansion of (a + b)n
Important Notes
Miscellaneous Exercise 1
Revision Exercise 9
Revision Exercise 10
Revision Exercise 11
Revision Exercise 12
15. DIFFERENTIATION and ITS TECHNIQUE
15.1 The Gradient Function
15.2 Function of a Function (Composite Function)
15.3 Product of Two Functions
15.4 Quotient of Two Functions
15.5 Equations of Tangent and Normal
Important Notes
Miscellaneous Exercise 15
16. RATES of CHANGE
16.1 Constant Rate and Variable Rate of Change
16.2 Related Rates of Change
16.3 Small Changes
Important Notes
Miscellaneous Exercise 16
17. HIGHER DERIVATIVES and APPLICATIONS
17.1 Determination of Maximum and Minimum Points
17.2 Maximum and Minimum Points
17.3 Maximum and Minimum Values
Important Notes
Miscellaneous Exercose 17
18. DERIVATIVES of TRIGONOMETRIC FUNCTIONS
18.1 Differentiatiion of Trigonometric Fuctions
Important Notes
Miscellaneous Exercise 18
19. EXPONENTIAL and LOGARITHMIC FUNCTIONS
19.1 Exponential Functions
19.2 Logarithmic Functions
Important Notes
Miscellaneous Exercise 19
Revision Exercise 13
Revision Exercise 14
Revision Exercise 15
Revision Exercise 16
20. INTEGRATION
20.1 Integration as the Reverse Process of Differention and Indefinite Integrals
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Elayn Martin-Gay firmly believes that every student can succeed, and her developmental math textbooks and video resources are motivated by this belief. Prealgebra, Sixth Edition was written to help readers effectively make the transition from arithmetic to algebra. The new edition offers new resources like the Student Organizer (available separately) and now includes Student Resources in the back of the book to help students on their quest
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An introduction to the differences equations appears. First, necessarysuccession and series concepts are enunciated for the development of thetopic. Later first order differences equations are explained and follow thesecond order and N-order differences equations, next a basic notion of linear systems in differences equations is shown; finally, a brief comparison between difference equations and differential equations is presented.
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Shipping prices may be approximate. Please verify cost before checkout.
About the book:
Some years ago, "new math" took the country's classrooms by storm. Based on the abstract, general style of mathematical exposition favored by research mathematicians, its goal was to teach students not just to manipulate numbers and formulas, but to grasp the underlying mathematical concepts. The result, at least at first, was a great deal of confusion among teachers, students, and parents. Since then, the negative aspects of "new math" have been eliminated and its positive elements assimilated into classroom instruction. In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts underlying "new math": groups, sets, subsets, topology, Boolean algebra, and more. According to Professor Stewart, an understanding of these concepts offers the best route to grasping the true nature of mathematics, in particular the power, beauty, and utility of pure mathematics. No advanced mathematical background is needed (a smattering of algebra, geometry, and trigonometry is helpful) to follow the author's lucid and thought-provoking discussions of such topics as functions, symmetry, axiomatics, counting, topology, hyperspace, linear algebra, real analysis, probability, computers, applications of modern mathematics, and much more. By the time readers have finished this book, they'll have a much clearer grasp of how modern mathematicians look at figures, functions, and formulas and how a firm grasp of the ideas underlying "new math" leads toward a genuine comprehension of the nature of mathematics itself.
Softcover, ISBN 0486284247 Publisher: Dover Publications, 1995 Usually ships within 1 - 2 business days, Brand New. Delivery is usually 5 - 8 working days from order, International is by Royal Mail Airmail
Softcover, ISBN 0486284247 Publisher: Dover Publications, 1995 Dover Publications. Used - Good. Former Library book. Shows some signs of wear, and may have some markings on the inside. 100% Money Back Guarantee.
Softcover, ISBN 0486284247 Publisher: Dover Publications, 1995 Used - Good. Former Library book. Shows some signs of wear, and may have some markings on the inside. Shipped to over one million happy customers. Your purchase benefits world literacy!
Softcover, ISBN 0486284247 Publisher: Dover Pubn486284247 Publisher: Dover Pubn Inc, 1995 Very Good. US Edition. Has minor wear and/or markings. SKU:9780486284248-3-0-3 Orders ship the same or next business day. Expedited shipping within U.S. will arrive in 3-5 days. Hassle free 14 day return policy. Contact Customer Service for questions..
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Understanding Modern Mathematics
Understanding Modern Mathematics Is An Exceptional Collection Of Topics Meant To Better Acquaint Students With Mathematics Through An Exposure To Its ...Show synopsisUnderstanding Modern Mathematics Is An Exceptional Collection Of Topics Meant To Better Acquaint Students With Mathematics Through An Exposure To Its Applications And An Analysis Of Its Culture. The Text Provides An In-Depth Focus On Such Key Topics As Probability, Statistics, Voting Systems, Game Theory, And Linear Programming. Two Additional Chapters On Geometry And Symmetry Can Be Found On The Text's Web Site, Providing Students The Opportunity To See The 3-Dimensional Geometric Figures In Full Color. The Text Provides Students With An Understanding Of How These Important Mathematical Topics Are Relevant In Their Everyday Lives While Emphasizing The History Of Mathematics . Understanding Modern Mathematics Is The Perfect Complement To Any Liberal Arts Mathematics Course7637340153734015 0763734012 New Book. Please allow 4-14 business days to...New. 0763734012
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Introduction to Graph Theory
This book fills a need for a thorough introduction to graph theory that features both the understanding and writing of proofs about graphs. ...Show synopsisThis book fills a need for a thorough introduction to graph theory that features both the understanding and writing of proofs about graphs. Verification that algorithms work is emphasized more than their complexity. An effective use of examples, and huge number of interesting exercises, demonstrate the topics of trees and distance, matchings and factors, connectivity and paths, graph coloring, edges and cycles, and planar graphs. For those who need to learn to make coherent arguments in the fields of mathematics and computer science text offers a comprehensive and coherent introduction...New. This text offers a comprehensive and coherent introduction to the fundamentals of graph theory. Written in a reader-friendly style and with features that enhance students` comprehension, the book focuses on the structure of graphs and techniques used to analyze problems. Greatly expanded and reorganized, this edition is integrated with key pedagogical aids like numerous illustrations, cross-references, and `warm-up` exercises that provide for in-depth understanding of the topics covered in the text. Other important features of the book include multiple approaches towards problem solving and definitions following the use of concepts for meaningful distinction and clarity. CONTENTS: Preface. 1. Fundamental Concepts. 2. Trees and Distance. 3. Matchings and Factors. 4. Connectivity and Paths. 5. Coloring of Graphs. 6. Planar Graphs. 7. Edges and Cycles. 8. Additional Topics (optional). Appendices: A-Mathematical Background. B-Optimization and Complexity. C-Hints for Selected Exercises. D-Glossary of Terms. E-Supplemental Reading. F-References. Author Index. Subject Index. Printed Pages: 608. 18 x 24 cm.
Description:Good. 0132278286 USED BOOK in good condition| No supplements|...Good. 0132278286
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This supplemental DVD is designed to be used along with the corresponding ACE Math PACE 1102 for Grade 9 (sold-separately). Twelve lessons are included and cover number lines, the Cartesian coordinate system, linear equations of two variables, the substitution method, and more. Lessons range in time from approximately three minutes through eleven minutes in length.
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Math.NET aims to provide a self contained clean framework for symbolic mathematical (Computer Algebra System) and numerical/scientific computations, including a parser and support for linear algebra, complex differential analysis, system solving and more
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THINKING MATHEMATICALLY - 2nd edition
Summary: Thinking Mathematically is perfect for anyone who wants to develop their powers to think mathematically, whether at school, at university or just out of interest. This book is invaluable for anyone who wishes to promote mathematical thinking in others or for anyone who has always wondered what lies at the core of mathematics. Thinking Mathematically reveals the processes at the heart of mathematics and demonstrates how to encourage and develop them. Extremely practic...show moreal, it involves the reader in questions so that subsequent discussions speak to immediate experience. ...show less
Ships next business day! May NOT include supplemental materials such as CDs and access codes. May include some highlighting or writing.
$3677 +$3.99 s/h
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TextbookBarn Woodland Hills, CA
0273728911
$42.1516
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Abstract: This brief introduction to the open-source software package, Sage, features three interactive examples involving integer factoring, graphing quadratics, and combinations of a finite set. Interactive environments, called interacts in Sage, are the primary focus of the article; additional Sage resources are given at the end.
The National Council of Teachers of Mathematics is the public voice of mathematics education, supporting teachers to ensure equitable mathematics learning of the highest quality for all students through vision, leadership, professional development, and research.
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Essential Mathematics
9780060406028
ISBN:
006040602X
Edition: 2 Pub Date: 1994 Publisher: Addison-Wesley
Summary: Designed for a basic mathematics course, this text offers a detailed look at the core concepts and then some! It includes a chapter on statistics, two chapters on basic algebra, stresses developing number sense and English-to-math linkage, and covers pre-algebra and geometry topics. With enough material for two separate courses, this book contains several features that set it apart from other basic math texts. It cov...ers ratio, rate, and equivalent rates extensively; focuses on how to solve applications; features a comfortable writing style that employs the discovery approach and contributes to better readability; giving special attention to troublesome areas. The second edition contains two new special featuresUsing the Calculator and Developing Number Sensewhich run throughout the text.
Beavers, Mary Kay is the author of Essential Mathematics, published 1994 under ISBN 9780060406028 and 006040602X. Twenty three Essential Mathematics textbooks are available for sale on ValoreBooks.com, eighteen used from the cheapest price of $10.14, or buy new starting at $128.21
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Contact
Contact Information
[email protected]
Aim and Content
The course gives an introduction to algorithms and theory for numerical solution of systems of ordinary differential equations, iterative solution of systems of non-linear equations and basic methods for calculating eigenvalues. Computation of the best approximation in the least square theory with focus on orthogonal polynomials and trigonometric approximation are also treated. In addition one looks at special problems in numerical integration and Gauss quadrature.The course also deals with differential methods for initial value problems, Runge Kuta and multistep methods for time integration.
Learning Outcomes
After completed course, the students are expected to be able to
explain and use the power method to find the smallest and the biggest eigenvalue of a matrix
show Schur's and Gershgorin's theorem for matrices
explain and use iterative methods for nonlinear systems like fix point method and Newton's method
explain the least square method for determining the best approximation
explain the Gauss-quadrature for approximating integrals
describe and use the Runge-Kutta methods and the multistep methods for solving numerically ordinary differential equations
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Singapore Math® Discovering Mathematics Level 3 Curriculum Grade 9
Singapore Math® Discovering Mathematics Level 3
For use in grade 9, Level 3 of the Discovering Mathematics series "integrates some algebra 2, geometry and some trigonometry. Teacher involvement is recommended."
Most Items on this page are in-stock.
NOTE: If you need any items on this page, we strongly recommend that you purchase them as soon as possible. We will no longer be able to sell them past 12/31/14.
Textbooks, Teacher's Guides, a Workbook, a Workbook Teacher's Guide, and a Question Bank are available for this level. The textbooks are formatted in the same manner as the components for Level 4 of this series. Each chapter has features such as opener, activities, examples, exercises, and more. In the right margin are features that enhance the lessons. The format is colorful, pleasing, and not overly busy which is a plus for visual students.
Please refer to the Scope and Sequence to see more detailed topics covered in Level 3 for ninth grade.
Discovering Mathematics Level 3A Textbook Grade 9
Discovering Mathematics Textbook 3A
Topics Covered in Discovering Mathematics Level 3 for Ninth Grade
A brief overview of the topics covered in Singapore Math® Discovering Mathematics includes:
Linear equations and inequalities
Exponents (Indices)
Solutions of simple quadratic equations
y=mx+b
Mean, median, mode, histograms and other data analysis
Start work with quadratic equations
Graphs of non-linear functions and relations
Congruent and triangles and plane figures
Properties of circles
Start on trigonometry
Grade 9
Price $22.00
Textbook 3B
Discovering Mathematics Textbook 3B
Discovering Mathematics Textbook 3B
Publisher: Singapore Math
ISBN-10: 9814176710
Grade 9
Price $22.00
Question Bank 3
Discovering Mathematics Question Bank 3
Discovering Mathematics Question Bank 3
Publisher: Singapore Math
ISBN-13: 9789814176869
Teachers can use Question Bank 3 to make questions for the student. (Obviously, it is not a book for students since each question is followed by a fully worked solution.) There are about 30 questions for each chapter. A suggested difficulty level is suggested for each question.
Grade 9
Price $29.50
Workbook 3
Singapore Discovering Mathematics Workbook 3
Discovering Mathematics Workbook 3
Publisher: Singapore Math
ISBN-13: 9789814249270
Workbook Level 3 supplements the textbook and gives students more practice in applying the learned concepts. The questions in the workbook lead students to think analytically, reason logically, etc. It comes with answer keys.
Grade 9
Price $16.00
Workbook 3 Teacher's Edition
Discovering Mathematics 3 Workbook Teacher's Edition
Discovering Mathematics 3 Workbook Teacher's Edition
Publisher: Singapore Math
ISBN-13: 9789814249287
The Teacher's Edition 3 is for the parent who wants the the completely worked out solutions for problems in the Workbook 9.
Grade 9
Price $30.00
Teacher's Guide 3A
Singapore Discovering Mathematics Teacher's Guide 3A
Discovering Mathematics Teacher's Guide 3A
Publisher: Singapore Math
ISBN-10: 9814176788
The Teacher's Guide 3A has a weekly schedule that lists the objectives of each lesson, brief notes on teaching for each chapter, and fully worked solutions for all questions and problems in the 3A Textbook.
Grade 9
Price $31.00
Teacher's Guide 3B
Singapore Discovering Mathematics Teacher's Guide 3B
Discovering Mathematics Teacher's Guide 3B
Publisher: Singapore Math
ISBN-10: 9814176796
The Teacher's Guide 3B has a weekly schedule that lists the objectives of each lesson, brief notes on teaching for each chapter, and fully worked solutions for all questions and problems in the 3B Textbook.
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Celebrated mathematician Shlomo Sternberg, a pioneer in the field of dynamical systems, created this modern one-semester introduction to the subject for his classes at Harvard University. Its wide-ranging treatment...
$ 7.49
Highly readable, self-contained text provides clear explanations for students at all levels of mathematical proficiency. Over 1,600 problems, many with detailed answers. Corrected 1969 edition. Includes 394...
$ 31.29
This volume deals with the fundamental concepts of space, time and matter. It presents a novel reformulation of both the special and general theory of relativity, in which time does not constitute the fourth...
$ 86.99
This book provides the mathematical foundations for the analysis of a class of degenerate elliptic operators defined on manifolds with corners, which arise in a variety of applications such as population genetics,...
$ 40.99
First volume of 2-volume text, fully usable on its own, provides excellent treatment of theory, along with applications and examples. Exercises at the end of most sections. 1986 edition. Includes 189 black-and-white...
$ 18.29
This two-volume book is devoted to mathematical theory, numerics and applications of hyperbolic problems. Hyperbolic problems have not only a long history but also extremely rich physical background. The development...
$ 97.49
The theory of hypergroups is a rapidly developing area of mathematics due to its diverse applications in different areas like probability, harmonic analysis, etc. This book exhibits the use of functional equations...
$ 51.29
X and the City, a book of diverse and accessible math-based topics, uses basic modeling to explore a wide range of entertaining questions about urban life. How do you estimate the number of dental or doctor's...
$ 111.99
Linear systems theory is the cornerstone of control theory and a well-established discipline that focuses on linear differential equations from the perspective of control and estimation. In this textbook, João...
$ 81.79
A Modern Introduction to Differential Equations presents a solid yet highly accessible introduction to differential equations, developing the concepts from a dynamical systems perspective and employing technology...
$ 148.99
A Modern Introduction to Differential Equations presents a solid yet highly accessible introduction to differential equations, developing the concepts from a dynamical systems perspective and employing technology...
$ 145.29
The material collected in this volume discusses the present as well as expected future directions of development of the field with particular emphasis on applications. The seven survey articles present different...
$ 196.79
Many textbooks on differential equations are written to be interesting to the teacher rather than the student. Introduction to Differential Equations with Dynamical Systems is directed toward students. This...
$ 112.49
A collection of self contained state-of-the art surveys. The authors have made an effort to achieve readability for mathematicians and scientists from other fields, for this series of handbooks to be a new reference...
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This popular Physical Chemistry text book is now available in electronic format. We have preserved much of the material of the former hard copy editions, making changes to improve understanding of the concepts in addition to including some of the recent discoveries in physical chemistry. Many chapters have new sections and the coverage of several chapters has been greatly expanded. The chapter on statistical mechanics, 15, has been completely rewritten.
The eBook has also been divided into smaller modules that are appropriate for specific courses in Physical Chemistry.
Easy to use Clebsch-Gordan coefficient solver for adding two angular momentums in Quantum Mechanics. This tool is created for my Quantum Mechanics II course offered by Dr. Thompson in Summer of 2007.
[Instruction]
Execute "GUI.m" script by invoking "GUI".
Inspired by a discussion with my father on how to solve sudokus, I decided to implement a GUI for MATLAB and play around with automatic solving. The result can be found here: You can use the GUI just for playing sudoku and having an online check or you may turn on the solving aids: Display tooltips showing all valid numbers so far, or have a semiautomatic or a automatic solver which evaluates the logical constraints. On top of that, a branching algorithm is implemented, which solves any arbitrary sudoku very fast.
Math Solver Free for Windows 8 is a handy tool for performing frequently used operations used for solving math problems. You can use this tool for solving quadratic equations or calculating the angles of a triangle.
The app also includes a unit converter and other useful tools for dealing with math problems by using your Windows 8 device.
Worksheet Generator for Chemistry is a handy and reliable software that helps you to easily and quickly create and customize your personal chemistry worksheets.
The application provides you with various exercise templates that allow you to adjust your worksheets. You are able to insert various chemistry exercises of different areas such as units and chemical formulae, thermochemistry, chemical kinetics, Redox reactions and organic chemistry
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Abbot is a pretty good source for a first semester analysis course. Abbot tends to stay pretty concretely in the the real line (other books introduce abstract metric space terminology early on, and then apply it to the reals). I taught the first semester out of Abbott and it went pretty well.
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A series of tutorials on basic measurement theory, including such topics as experimental errors, measurement, accuracy and...
see more
A series of tutorials on basic measurement theory, including such topics as experimental errors, measurement, accuracy and precision, exact numbers, and significant figures (digits). Applet calculators included, along with quizzes.
With the "״Graphing Vector Caculator״" you draw two vectors then command it to add or subtract the vectors by pressing a...
see more
With the "״Graphing Vector Caculator״" you draw two vectors then command it to add or subtract the vectors by pressing a button ( "A + B״, "A - B״, "B + A״, "B - A" ). The graphical and numerical representations for all the vectors are shown, in matching colors, and all the digits are in neatly aligned columns.
A large library of simulations covering many topics in physics. From the author(s): "Physics by Demonstrations is a web site...
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A large library of simulations covering many topics in physics. From the author(s): "Physics by Demonstrations is a web site created by an international team of students. It was created as our entry to the International Scholarship Competition, ThinkQuest. We designed and put together this web site to teach the wonderful subject of physics on high school level. We believe that visual representation helps learning and that is why we have so many visual aids on our site, such as Java applets. We also believe that our site will make physics easier and fun to learn and we appreciate your visit."
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need for improved mathematics education at the high school and college levels has never been more apparent than in the 1990s. As early as the 1960s, I. M. Gel'fand and his colleagues in the USSR thought hard about this same question and developed a style for presenting basic mathematics in a clear and simple form that engaged the curiosity and intellectual interest of thousands of high school and college students. These same ideas, this same content, unchanged by over thirty years of experience and mathematical development, are available in the present books to any student who is willing to read, to be stimulated and to learn. "The Method of Coordinates" is a way of transferring geometric images into formulas, a method for describing pictures by numbers and letters denoting constants and variables. It is fundamental to the study of calculus and other mathematical topics. Teachers of mathematics will find here a fresh understanding of the subject and a valuable path to the training of students in mathematical concepts and skills.
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--- H. Wu, The Mathematical Intelligencer
"This book is a concise and compact treatment of the essential ideas of coordinate geometry. The authors demonstrate powerfully how geomtric ides may be communicated and studied effectively without the aid of pictures. Graphics are of course of vital importance int he methods of Euclidean geometry. However, the methods of coordinate geometry are able to transform pure geometric ideas into algebraic manipulations where the meaning is very clear once the formalism is learnt. In particular the book demonstrates the value of conveying information in the form of images embedded in formulas. This is very useful in the transmission of information by electronic means. . . This book is a valuable tool for teaching the redimentary concepts of analytical geometry. It contains a number of excellent examples and exercises which go further than a mere introductory programme. the exercises, while not numerous, are very thought-provoking and are bound to pose a serious challenge to the interested student."
Most Helpful Customer Reviews
The authors of this slim volume demonstrate the power of coordinate geometry, which they describe as a means of translating geometric figures into algebraic formulas, through their lucid exposition, interesting examples, and well-chosen exercises.
The authors begin with the coordinate geometry of the real line. They discuss absolute value and define what distance means. Next the authors examine the coordinate geometry of the plane. They define distance in the plane, show how relations among the coordinates define geometric figures, and discuss different coordinate systems that can be used in the plane. Their examples illustrate how algebraic methods developed by Rene Descartes make it possible to solve geometric problems efficiently that would be quite difficult to solve using synthetic geometry. The authors then treat the coordinate geometry of three-dimensional space in a similar manner.
The second part of the book begins with a problem concerning lattice points in the plane. The authors use this example and its generalizations to justify exploring the coordinate geometry of four-dimensional space. They carefully treat the example of a four-dimensional unit hypercube, examining its properties by considering its analogues in lower dimensions: the segment [0, 1] of the real number line, the unit square in the coordinate plane, and the unit cube in space.
Since the book was initially written for a correspondence course for high school students in the Soviet Union, it is designed for self-study and accessible to students who have had high school courses in algebra and geometry.Read more ›
To succeed in mathematics, it is necessary to understand the different coordinate systems. The Cartesian coordinate system, where algebra and geometry are combined into a single synergistic operation, is one of the greatest of all mathematical achievements. Most students at the lower levels are exposed to the Cartesian system, but unfortunately not to the other coordinate systems.
The authors develop a full explanation of the basic Cartesian system by starting with the linear coordinate system. They then expand it out to two, three and four dimensions. The transition is easy and understandable. They also briefly cover the various forms of polar coordinates in two and three dimensions. With thorough and complete explanations of the basic coordinate systems, this book is an excellent primer on this fundamental concept of mathematics. All students should be exposed to coordinate systems other than the Cartesian, humans use the three-dimensional coordinate system more than we use the two dimensional coordinate system.
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An Unabridged Printing, To Include Updated Typeface - Chapters: The Five Groups Of Axioms - The Compatibility And Mutual Independence Of The Axioms - The Theory Of Proportion - The Theory Of Plane Areas - Desargue's Theorem - Pascal's Theorem - Geometrical Constructions Based Upon The Axioms I-V - Conclusion - Appendix
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teaching of advanced geometrical optics can be made both interesting and reasonably simple through the use of matrix algebra. With this method, the required numerical calculations are performed on a hand-eld instrument or, preferably, a computer-graphics facility. The advantages of this approach are discussed, as well as the objections raised by others.
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The new 3rd edition of Cynthia Young's Algebra & Trigonometry continues to bridge the gap between in-class work and homework by helping readers overcome common learning barriers and build confidence in their ability to do mathematics. The text features truly unique, strong pedagogy and is written in a clear, single voice that speaks directly to students and mirrors how instructors communicate in lectures. In this revision, Young enables readers to become independent, successful learners by including hundreds of additional exercises, more opportunities to use technology, and a new themed modeling project that empowers them to apply what they have learned in the classroom to the world outside the classroom. The seamlessly integrated digital and print resources to accompany Algebra & Trigonometry 3e offer additional tools to help users experience success.
Book Description:Wiley, 2013. Hardcover. Book Condition: New. With answers and tips how to do problems ANNOTATED INSTRUCTOR'S EDITION. . Page for page the same as the student edition but half the price. Bookseller Inventory # mon0000042271
Book Description:Wiley. Hardcover. Book Condition: New. 0470648031 Instructor's edition with extra answers for the professor. Great way to save on this book. WE SHIP DAILY!!!. Bookseller Inventory # SKU2021531
Book Description:Wiley. Book Condition: New. 0470648031. Bookseller Inventory # Z0470648031
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comprehensive overview of the numerous applications of mathematics in the life sciences and medicine, and demonstrates how mathematics and computers have taken root in these fields. The work covers a variety of techniques and applications including mathematical and modelling methodology, modelling/simulation technology, and philosophical issues in model formulation, leading to speciality medical modelling, artificial intelligence, psychiatric models, medical decision making, and molecular modelling.
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Mettawa, IL ACTDiscrete math is a catch-all term encompassing many diverse areas of mathematics. There is no universal agreement as to what constitutes discrete math. Discrete math is defined less by what topics are included than by what is excluded
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reference book for students of mathematics which gives definitions and clear explanations of all the terms they are likely to meet. It covers the concepts and terminology of all topics that feature in the A-level syllabus, the first year of degree level courses and teacher training courses. The book also includes entries which are concerned with important mathematics of more general interest, and short biographical sketches of the great mathematicians.
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I bought 2 revision guides for my daughter who is hopeless at maths this one and CGP, GCSE Mathematics Foundation Level, Complete Revision and Practice. She is currently on an E, target grade D and I am hoping against hope to get her up to a C. Both guides are excellent and have a similar approach starting at the very beginning of primary school stuff, putting numbers in order of size and expressing numbers in words, then moving on to cover everything else. My daughter and I chose to work through this guide simply because it is thinner (110 compared to 219 pages) and having fewer pages to conquer suited both of us.
Both books are very similar and cover the subject in a very simple, easy to understand way (or so it appears to me at least) with examples. The main difference between the two seems to be the number and layout of test questions. Both books share many identical questions but the other book has in addition questions laid out as an exam paper, with worked examples in that format. If we ever get through this thin book we will probably use the exam format questions in the other book as further revision, but for now I prefer the way this thinner book has test questions at the bottom of each page whereas the other book has the questions only after several pages.
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Which Math Should I Take?
Page Content
The Mathematics Department of Santa Monica College has created a variety of courses in particular sequences designed to serve as many students as possible.This information will help you choose your first few transfer-level mathematics courses, once you have successfully completed Math 20 (Intermediate Algebra) or Math 18 (Intermediate Algebra for Statistics and Finite Mathematics).
If you intend to major in economics, business or one of the social sciences and you do not need trigonometry-based calculus, then you probably should take courses in the Math 28/29 (Calculus 1 & 2 for Business and Social Science) sequence. There are exceptions: for example, UC-bound students probably should take courses in the Math 7/8 (Calculus 1 & 2) sequence. The prerequisite for the Math 28/29 sequence is Math 26 (Functions and Modeling for Business and Social Science). For Math 26, the prerequisite course is Math 20.
If you intend to major in computer science, engineering, mathematics or one of the physical/natural/life sciences and you need trigonometry-based calculus, then you should take courses in the Math 7/8/11 calculus sequence. The prerequisite for this sequence is Math 2 (Precalculus), an intensive 5-unit course covering two subject areas, college algebra and trigonometry. The prerequisites for Math 2 are Math 20 (Intermediate Algebra) and Math 32 (Plane Geometry) which may be taken in any order. Math 8 is the prerequisite for Math 10 (Discrete Structures), Math 11 (Multivariable Calculus), Math 13 (Linear Algebra) and Math 15 (Differential Equations). The Mathematics Department recommends that students complete Math 11 and Math 15 prior to enrolling in Math 13.
If you are interested in becoming an elementary school teacher, then you should take Math 41 (Mathematics for Elementary School Teachers). The prerequisite for Math 41 is Math 20.
If you intend to major in the liberal arts or the social sciences and are not planning on majoring in one of the above fields, then you should take Math 21 (Finite Mathematics) or Math 54 (Elementary Statistics). The preferred prerequisite course is the 3-unit course Math 18. The 5-unit course Math 20 also satisfies this prerequisite.
If you are unsure of your major or whether Math 18 or Math 20 is more appropriate, then you should take Math 20.
In general, if you are in doubt as to which sequence of classes to pursue but have some idea of where you plan to transfer, you should consult either a knowledgeable transfer counselor, the transfer school itself or any full-time mathematics instructor who teaches these college-level courses. You may also review major requirements for many public and private colleges on the web at the Transfer Services website.
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Questions about equations? Inequalities have you in a quandary?\Fear not, help is here. Purchasing this Access Code card gives you a one-year, renewable, online subscription to 1,001 Algebra II Practice Problems For Dummies gives you 1,001 opportunities to practice solving problems that you'll encounter in your Algebra II course. Starting with a review of algebra basics and ending with sequences, sets, and counting techniques, it covers everything from solving non-linear equations and inequalities to graphing lines, on to functions and systems of equations and inequalities—plus lots more! Every practice problem includes not only a solution but a step-by-step explanation.With on-the-go access you can study anywhere and any way you want—from your computer, smart phone or tablet. Working through and solving practice problems –categorized as easy, medium, or hard—you can track your progress, see where you need to study the most, and then create customized problem sets to get you where you need to be. A one-year subscription includes: Access to 1,001 algebra problems online--from easy to hardA tool that tracks your progress, identifies where you need more help, and creates customized problem setsA way to study what, where, and when you want Whether you're currently enrolled in a high school or college algebra course, 1,001 Algebra II Practice Problems For Dummies gives you the practice you need to increase your problems solving skills as well as your confidence.
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After reading the material, I feel that there are a lot of valid ideas I would
love to implement, if I Only Knew How!! Where are the resources that give us
the examples we need to bring this material into the classroom? I would also
like to find out if there are any workshops one can take to learn how to become
the Facilitator in the classroom.
I know from my experience teaching high school that all we (as a department)do
in IA and II is teach procedure. I love how the author points out that our
aversion to technology leads the students to only look at graphs as a way to
check their work. I feel that a lot of teachers think that once they show
students how to work on the calaulator that they will never do the procedure
again. So I found it interesting that the article suggests that students still
have a preference towards the algebraic solving method.
I am also curious about the way our Algebra I textbook introduces functions. It
is set up so that we do functions before graphing, does that make sense? How do
people feel about that? How are we supposed to make the connections between
tabular, graphical, and equational in terms of a function if we teach the
function first?
Also, does anyone have a thought on the way teachers view calculators as the
last resort over a process-based teaching style? Why are we so intent upon
putting the calculators aside until the last minute
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More About
This Textbook
Overview
This third edition of Teaching Mathematics for the 21st Century continues to help teachers let the secret out–to open up to their students the wonderful discoveries and challenges of the pattern-making and problem-solving aspects of a fascinating subject: mathematics. The rationale remains the same–to enable prospective and current teachers to access and use tools and strategies to effectively teach mathematics to contemporary students. Changing demographics, knowledge of how people learn, and technology all impact the way we educate our young people. This edition incorporates lessons and strategies from programs that have proven success in many types of classrooms. Many of these examples help students connect mathematics to real life situations and communicate their understanding of the underlying concepts. Although technology is constantly being upgraded, ways to increase student motivation through its application remains a goal. For example--since applets can enhance a lesson whether the teacher uses a computer projector, a "smart" board, or has students work individually on computers--we have identified several sources of mathematics applets that can be correlated to various lessons. Research citations and summaries have been updated to reflect current information on teaching and learning. For future teachers.
Editorial Reviews
Booknews
For potential math teachers, shows how to open the world of mathematics to students, giving both theoretical and practical suggestions on things to consider before going into the classroom as well as coverage of the ongoing reality of the classroom, with advice on planning, managing classrooms where discourse is valued, and dealing with issues of equity. Many problems, investigations, and instructional sequences for use in the classroom are provided. Coverage also includes professional issues. Huetinck teaches at California State University-Northridge; Munshin is affiliated with the Los Angeles Unified School District. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Introduction
"It's time to let the secret out: Mathematics is not primarily a matter of plugging numbers into formulas and performing rote computations. It is a way of thinking and questioning that may be unfamiliar to many of us, but is available to almost all of us." So states John Allen Paulos in A Mathematician Reads the Newspaper (New York: Anchor Books, 1996).
This second edition of Teaching Mathematics for the 21st Century is intended to help you let the secret out—to open up to your students the wonderful discoveries and challenges of the pattern-making and problem-solving aspects of a subject you may already find fascinating. If you think back to those mathematics teachers who surely inspired you to want to emulate their enthusiasm, clarity, and reasoning ability, we believe you can see that they, too, opened doors to your understanding of content beyond the procedures. The beauty and elegance of mathematics, as well as the need to apply mathematics to become an informed citizen of our democracy, must be imparted to today's students. This can be a big challenge when these students bring into your classroom a mind-set with a more limited (and to them, boring) perspective of mathematics.
This book came out of our experiences in middle-and high-school classrooms, as well as our extensive work with pre- and in-service teachers. Not only have we provided mathematics teachers with many forms of professional development but we have also visited the classrooms of hundreds of teachers in many different types of communities and been inspired by observing situations where mathematical understanding is clearly a goal that is being realized. We call the kindof teaching that goes on in these classrooms "Standards-based," referring to the Standards documents produced by the National Council of Teachers of Mathematics (NCTM), the most recent of which is the Principles and Standards for School Mathematics (PSSM, 2000). All mathematics teachers can implement Standards based instruction in their classrooms, and all students can benefit from this experience.
We trust that the assistance provided through this book and through your pre-service and in-service classes will help you enjoy a career that is person ally and professionally satisfying. And we hope that mathematical thinking will become a common part of your students' lives.
ORGANIZATION OF THE TEXT
Teaching Mathematics for the 21st Century contains twelve chapters organized into three overall parts. The first five chapters provide both theoretical and practical suggestions concerning what you should know and consider before you "step on the stage" of your first classroom. Chapters 6 through 10 discuss the ongoing realities of the classroom—planning and fine-tuning daily lessons, managing classrooms where discourse is valued, assessing and evaluating students, and dealing with issues of equity as they affect the classroom. The final two chapters look to your future as a member of a professional community, both in how you relate to constituents outside of education and how you avail yourself of ongoing professional growth activities as a lifelong learner. Within each part, the chapters are independent and can be studied in any order.
Part I: Prior to Entering the Classroom
Chapter 1, "History and Introduction to Mathematics Education Reform," provides extensive background about the history and development of the significant concepts leading to the current reform. The chapter details methods of teaching mathematics throughout the last half of the 20th century. We discuss research in cooperative learning and offer practical suggestions for implementing cooperative learning, one of the common activities in contemporary teaching practice. The mathematical focus of the activities in this chapter is logic.
Chapter 2, "Learning, Motivation, and Basic Management Skills," begins by discussing the main learning theories and models of intelligence that underlie the educational psychology behind reform in mathematics education. The section on motivation introduces some main concepts of the topic. Aspects of motivation are interwoven with the selection of activities and instructional design throughout the book. The second half of the chapter is devoted to decisions related to management skills teachers need before the first day of class. Examples and problems center on probability. Different approaches to probability tasks illustrate different theories of learning. Motivation and management issues also come into play with this content area, since probability tasks most often involve hands-on activities.
Chapter 3, "Concrete to Abstract With Tools, Manipulatives, Computer Programs, and Calculators," introduces a variety of methods to increase the preservice teacher's tool kit of teaching ideas. An effective way to explore this chapter is with a series of stations using the different manipulatives and calculators in a round-robin laboratory setting. Groups of students spend a given time at each station to become familiar with the available manipulative, and then they rotate to the next station. If class sets are available, lessons and activities using the MIRA, patty paper, and graphing calculators can be done more easily with the entire class working simultaneously on the same exercise in cooperative groups. Of course, the computer activities can be supplemented according to the computer software available at your site. The unifying topics for this chapter consist of the foundational concepts of arithmetic, geometry, and algebra. Secondary teachers need to understand the concept development approach to mathematics both as a preferred way of introducing new topics and as an approach to intervention.
Chapter 4, "Standards-Based Curricula With Sample Lessons," provides an opportunity to explore elements of different reform curricula, including sample materials from some programs. The chapter contrasts and compares segments of instructional sequences within some exemplary middle- and high-school programs. The emphasis is on data analysis activities incorporating methods of data collection (including the use of probeware) and ways to analyze data. What better content to link with reform materials than data analysis, since it effectively meshes the Technology Principle with the Representation and Communication Standards of the PSSM?
Chapter 5, "Geometry and Algebra Redefined?" explores the current development of these areas of mathematics and illustrates effective ways to integrate them. Algebra and geometry activities in the chapter provide the vehicle for this discussion.
Part II: Teaching and Learning in the Classroom
The second part of the text begins with Chapter 6, "Planning Instruction." This chapter starts with an overview of the teacher's community and school culture. Next, a discussion of semester, unit, and daily planning gives examples for each stage in the planning process. The chapter highlights different strategies for effective lessons based on the materials to be studied. The examples and problems in this chapter focus on matrices and their applications, as that topic lends itself to many different grade levels and applications.
Chapter 7, "Promoting Communication in the Classroom," presents a view of discipline as an integral part of instruction and classroom communication. We offer practical suggestions for promoting discourse, encouraging communication through student writing, and building a community of learners. Illustrations and problems are drawn from the discrete mathematics topics of graph theory and group theory, both of which lend themselves well to various types of classroom communication.
In Chapter 8, "Assessing Individual Student Performance," we introduce formative assessment and summative assessment (evaluation). The discussion includes basic test design and grade determination, topics of great concern to beginning teachers. Activities involving patterns in mathematics illustrate the importance of assessing students' mathematical reasoning in a Standards based classroom.
The topic of Chapter 9, "Student Equity," is complex and broad. This chapter serves only as an introduction to some of the equity issues facing teachers. The prevailing issue throughout the chapter is how to make mathematics accessible to all students. A discussion of the effects of tracking is followed by considerations of effective ways to help multicultural/multiethnic students, females, gifted/ talented students, and students with mild learning difficulties to be successful in mathematics. The mathematical emphasis of this chapter is nonstandard problems that are rich in content yet open to a variety of solution approaches.
Chapter 10, "Focus on Performance Assessment," extends the discussion of assessment in Chapter 8 by exploring the use of performance tasks and rubric scoring. In our experience, the area of assessment has grown so complex, with alternative methods unfamiliar to student teachers, that it is best to approach assessment in two different chapters with time between to absorb this broad and very important aspect of Standards based teaching. The role of externally mandated assessments also is presented. The chapter also touches on uses of the Internet by mathematics students and their families. Investigations in applied mathematics and modeling allow students to practice writing solutions that are assessed by rubrics.
Part III: Ongoing Development
The third part of this text opens with Chapter 11, "Communicating With Parents and Community." This chapter demonstrates effective ways to interact with parents, the school community, and other mathematics students. Topics include managing back-to-school nights, parent conferences, family mathematics nights, and entry into mathematics contests. The mathematical content comprises number sense, estimation, and measurement, all of which are mathematical tasks that can be connected to real-life experiences.
Chapter 12, "Professional Growth," encourages students to be lifelong learners of the profession of teaching. This chapter discusses the topic of evaluation by supervisors, which is of paramount concern to the beginning teacher. Certification through the National Board for Professional Teaching Standards is described as a goal of exemplary teachers. The mathematical focus of lessons written and shared by experienced teacher leaders is on postcore topics in discrete mathematics, trigonometry, and pre-calculus.
FEATURES INCLUDED IN THE TEXT
This book is suitable for both undergraduate and graduate courses for teachers of mathematics, as well as for in-service enrichment courses. It may also be used for classes for supplementary credential programs and for retraining persons from other careers who are becoming teachers. We selected mathematical material and pedagogy of great richness, anticipating that this text not only will be useful to undergraduate and graduate methods students and professors, but also will continue to be a resource to teachers throughout their career.
To support those objectives, Teaching Mathematics for the 21st Century includes a variety of features:
Many chapters contain vignettes taken from actual classroom experiences.
Exemplary teachers have contributed their philosophies on different issues and materials that work in their classrooms.
The problems, investigations, and instructional sequences in every chapter have been classroom tested with secondary-level students. They demonstrate the wide range of activities to be found in today's mathematics curricula.
Additional activities at the end of each chapter provide mathematics exercises to use along with or in place of those integrated in the chapters.
In the back of the book, "Activity Notes to the Teacher for Selected Problems" helps teachers implement the content and methods found in the activities, sample lessons, and instructional sequences of each chapter.
An annotated list of recommended resources is given at the end of each chapter.
An extensive list of references combined for all the chapters appears at the end of the book.
NEW TO THIS EDITION
This second edition has been extensively reworked to update materials and make the format of the activities more accessible. A number of these enhancements merit special notice:
Throughout the text, we apply the NCTM's Principles and Standards of School Mathematics. Chapters quote the core principles and main ideas of the PSSM where appropriate. Each of the activities, sample lessons, and instructional sequences indicates the relevant standard, so both pre-service and in-service teachers can see how they might apply these standards in the classroom.
Activities, lessons, and instructional sequences are interactive. An improved format allows greater ease of use with secondary-level students. These significant elements of the text encourage involvement in Standards-based quality mathematics in every chapter. In each chapter's introduction, an "About the Activities for This Chapter'" section describes how the mathematical lessons work with the discussion material of the text and with each other to build power in mathematical thinking. The integration of activities and discussion topics helps teachers apply educational theory to actual mathematics lessons.
For additional interactive opportunities, a Companion Website includes links to other helpful resources on the Internet. When you see the Website icon, additional information about this topic can be accessed on our Website.
A variety of Instructional Resources have been added to the end of each chapter. Many of these are recent books and articles in The Mathematics Teacher and Teaching Middle School Mathematics published since the first edition of this third
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Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the various tactics involved in solving mathematical problems at the Mathematical Olympiad level. Covering number theory, algebra, analysis, Euclidean geometry, and analytic geometry, Solving Mathematical Problems includes numerous exercises and model solutions throughout. Assuming only a basic level of mathematics, the text is ideal for students of 14 years and above in pure mathematics.
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MATLAB, a software package for high-performance numerical computation and visualization, is one of the most widely used tools in the engineering field today. Its broad appeal lies in its interactive environment, which features hundreds of built-in functions for technical computation, graphics, and animation. In addition, MATLAB provides easy extensibility with its own high-level programming language.
Enhanced by fun and appealing illustrations, Getting Started with MATLAB employs a casual, accessible writing style that shows users how to enjoy using MATLAB.
Features
* Discusses new features and applications, including the new engine of symbolic computation in MATLAB 7.8 (released March 2009) * Provides two sets of self guided tutorials for learning essential features of MATLAB * Includes updated commands, examples, figure, and graphs * Familiarizes users with MATLAB in just a few hours though self-guided lessons * Covers elementary, advanced, and special functions * Supplements any course that uses MATLAB * Works as a stand-alone tutorial and referenceLike Mathematica and Maple, MatLab has now been around long enough to have a wide variety of custom plug in applications available, many free on the web (.M files are source/ASCII; .MAT are immediately executable binary files). Since MathWorks dropped Maple as a sub (graphic) engine and added MuPAD, MatLab's graphics (already the best) have been supercharged. The latest edition (2010) of Pratap's fine book picks up at release 6-- and MathWorks is now selling release 12+. The book is completely up to date. Oxford's update website for the book is not yet up for this release ([...]) at the time of this review, which is surprising since the book's been around for 16 years.
Don't let the title mislead you-- because of its power, both MatLab and this beginner's guide are outstanding for ANY field that is vector process driven, or graphically intensive, including Neurology, Molecular Biology, Finance, and video game programming to name a few-- any field that is heavy on vectors and matrices, in fact (MatLab stands for MatrixLaboratory). Don't let the Matrix foundation scare you, however, because the popularity of this program has now brought it up to Mathematica and Maple level with symbolic math also (the SM toolbox comes with the student editions of the software), which means MatLab will not only process flat files from other sources (including C, Fortran and Java as well as Mathematica and Maple), but its own algebraic/symbolic calculation power is just as formidable as Mathematica once you learn it, with the added benefit of being able to breeze through 2D, 3D and even animation graphics.Read more ›
I have mixed feelings about this book. Being an introductory MATLAB text, it does a good job of presenting the basic concept followed by lots of examples. For example, just chapter 2 alone covers at least 10 different topics. Definitely a lot more breadth than depth type of learning. This works if you like to know all these different topics.
But if you like to learn more on the fundamentals before digging further on all the functions/features, you may be a bit frustrated. For example, you may want to know (i) if MATLAB is a strong-typed language or not; (ii) what data types does it support; (iii) how do you lay out the structure of the program if it is not a trivial program - all these questions you may have would not reveal till a lot later if at all. In comparison with other programming language book where it emphasizes on basics and fundamental building blocks.
Also, this text is not sufficient to learn programming if this is your first exposure to programming. The explanations on topics such as data structures, algorithms, let alone recursion, matrix decomposition (QR, Cholesky, SVD) may not be enough. The text could be better if answers are provided for the latter part of the chapters.
Even though this book is relatively new, some of material is somewhat obsolete. For example, the author should recommend using 'strfind' instead of 'findstr' as the later will be removed in a future release (from MathWorks web site).
All in all, this is a decent book to learn MATLAB if you are somewhat familar to linear algebra and/or numerical analysis. This is also a good text to learn what MATLAB can do.
The book is very good if it's your first time learning MATLAB. This book does a good job. It's also quite comprehensive in terms of all the stuff MATLAB provides. Sometimes you have to jump around in the book a little bit to find things, but all in all, pretty good.
Sticking with the scope of the book: the author creatively presented the topics of MATLAB, in a wonderful interactive manner (as if the reader is in an instructor-based MATLAB session). His focus on imporant points -(indicating his deep wide experience)-, greatly helps the reader in gaining time and enjoying navigating throughout examples & excercises of the book. Purchasing this book, was one of the most 'BINGO' choices of my life. I strongly recommend this book, for MATLAB beginners.
I purchased this as a supplementary text for a computational physics course and a computer applications course. So glad I did!!! It includes relevant examples for the sciences and got me started with matlab. My only computer programming before this was a light intro to R.
As somebody who was completely new to MATLAB, this book did a nice job of introducing me to it. It provides a good basic outlook of the program, with examples. The only reason I don't give it five stars is because some of the practice problems he has do not have solutions...to see if you did the code right.
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Beginners will find a concise introduction to the most popular and important features of MATLAB and the Symbolic Math Toolbox, with instructive examples. Existing MATLAB users however should be interested by explanations of new MATLAB features and coverage of advanced topics such as Handle Graphics, structures and cell arrays, sparse matrices, profiling, and vectorization. The book describes MATLAB 6, but can also be used with earlier versions. The authors explain many revised and added features of MATLAB, including LAPACK-based matrix computations and the latest differential equation solvers, and also reveal many "hidden" features. No prior knowledge is assumed, but the reader is expected to be familiar with the basics of programming. This guide should be of particular use to researchers and practitioners, as well as undergraduate and graduate students in mathematics, statistics, engineering and computer science.
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Academics
Courses: Bridge to Advanced Mathematics (MATHH299D01)
An introduction to deductive reasoning, mathematical proof, and fundamental ideas of higher mathematics. Emphasis will be placed on developing strategies for understanding and constructing proofs. Topics include basic logic, set theory, and relations. This is a quarter-long course; it is taught in the first half of the fall semester.
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Subject: Mathematics (8 - 12) Title: Why so Cross? Description: This lesson will help students develop a deep understanding of what the solution to a system of linear equations means. They will investigate the graphs of systems as well as experiment with an online graphing calculator.
Subject: Mathematics (8 - 12) Title: Systems of Equations: What Method Do You Prefer? Description: The purpose of this lesson is to help students apply math concepts of solving systems of equations to real life situations. The students will use the three methods of graphing, substitution, and elimination to solve the system of equations.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Are you looking for a clear, accessible guide to mathematics that can help you brush up your skills and rediscover the key concepts and techniques? Complete Mathematics provides an invaluable, step-by-step introduction...
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Statistical Models and Methods for Reliability and Survival Analysis brings together contributions by specialists in statistical theory as they discuss their applications providing up-to-date developments in...
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Bringing together 18 chapters written by leading experts in dynamical systems, operator theory, partial differential equations, and solid and fluid mechanics, this book presents state-of-the-art approaches to...
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In this book, Claire Voisin provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology....
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A radically new, and easily learned, way to outstrategize your rivals. "The wise win before they fight, while the ignorant fight to win." So wrote Zhuge Liang, the great Chinese military strategist. He was...
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Mathematical Formulas For Industrial and Mechanical Engineering serves the needs of students and teachers as well as professional workers in engineering who use mathematics. The contents and size make it especially...
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The third book in Peterson's NEW series of guides for visual learners, this volume covers basic algebra topics that are essential for success on standardized tests. egghead's Guide to Algebra can also be used...
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Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that...
$ 100.99This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics...
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Safecracking, bullying, marital infidelity and gambling have never before been explored with the mathematical acuity and whimsy of Puzzling Adventures. Collected and enhanced from Dennis Shasha's popular Scientific...
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The books in this bite-sized new series contain no complicated techniques or tricky materials, making them ideal for the busy, the time-pressured or the merely curious. Be A Number Genius is a fun and completely...
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Calculus: A Complete Introduction is the most comprehensive yet easy-to-use introduction to using calculus. Written by a leading expert, this book will help you if you are studying for an important exam or essay,...
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Algebra: A Complete Introduction is the most comprehensive yet easy-to-use introduction to using Algebra. Written by a leading expert, this book will help you if you are studying for an important exam or essay,...
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Trigonometry: A Complete Introduction is the most comprehensive yet easy-to-use introduction to Trigonometry. Written by a leading expert, this book will help you if you are studying for an important exam or...
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Classes
MTH 149: Functional Math for Elementary Teachers II
This course is the second in a two-course sequence presenting the mathematical concepts and problem-solving techniques necessary for success in a teaching career at the elementary school level. It is not a course solely for math teachers; rather it provides the general mathematical background for teachers of all subjects. Topics include probability, an introduction to statistics, introductory geometry, congruence and similarity and measurement concepts
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This tutorial illustrates the relationship between statistical power and four features of the test situation. An applet...
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This tutorial illustrates the relationship between statistical power and four features of the test situation. An applet allows the user to manipulate a factor and immediately see the effects on other factors. a very nicely presented short course in trigonometry for the student who has already learned algebra and geometry....
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This is a very nicely presented short course in trigonometry for the student who has already learned algebra and geometry. There are Java applets available throughout the course to illustrate the various concepts. Each section includes text, use of an applet, exercises, hints, and answers.
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ISBN: 185233259X / ISBN-13: 9781852332594
Graphs and Applications
Discrete Mathematics is one of the fastest growing areas in mathematics today with an ever-increasing number of courses in schools and universities. ...Show synopsis An important part of learning graph theory is problem solving; for this reason large numbers of examples, problems (with full solutions) and exercises (without solutions) are included.Hide synopsis
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There's the girl who loves to draw. There's the drummer who can't sit still long enough to choke down the basics.
It'sthose students McHenry hopes will get help from an experimental newapproach to teach algebra. Known as aesthetic computing, the approachencourages students to express equations as pictures or stories. It waspioneered not by teachers or education experts, but rather by acomputer science professor with a background in simulating complexsystems and a fondness for obtuse terms like "multimodeling."
McHenry,one of about a dozen teachers who attended a recent workshop at theUniversity of Florida introducing aesthetic computing, was intriguedenough to say she would give it a try with her 11th- and 12th-gradersat North Marion High School in Ocala.
"Hopefully," she said, "this is something my students can do."
Teachershave struggled to engage students' interest in math for as long as mathhas been taught. All the more so, perhaps, with algebra. Gettingalready distracted teenagers to focus on abstract, to-their-eyesuseless, algebraic concepts can be Herculean, teachers say.
Manyeducators have tried, but few have come up with memorable solutions. AsTim Ballas, another teacher at the workshop, said, "I'm looking foranything right now that will give my students insights into conceptsthey will not grasp."
Paul Fishwick, a UF computer andinformation science engineering professor, has spent nearly a decadecogitating aesthetic computing, a term he coined. He teaches a popularUF undergraduate class on the concept, and his ideas have generated abuzz in academic circles. His course book, a 22-chapter compendium ofhis and others' thoughts on the concept, will be published by MIT Presslater this year.
Fishwick's focus has been on university-levelscholarship. But a National Science Foundation grant prompted him torethink aesthetic computing for younger students. Based on his ideas,he and two secondary-school teachers acting as consultants, KatieIndarawis and Jodee Alice Rose, wrote an introductory curriculum formiddle and high school.
The recent workshop was the first introduction of the curriculum to classroom teachers.
"Tobe honest," Fishwick told the crowd, which also included computerengineering students and UF education professors, "if we can't interestyou in this, there's no way we can get it to the students."
Thebasic idea of aesthetic computing is to make abstract ideas oralgebraic formulas "real" through drawings, sculptures or computergraphics — the way concepts in geometry, for example, can come to lifein the plans for a house. Fishwick has also likened it to how thegraphical user interface changed computer operating systems. When earlyversions first appeared on the Apple Macintosh, the system madelong-opaque operations familiar only to computer experts accessible tolay computer users, popularizing the personal computer.
But justas house plans have dimensions that conform to geometry's rules, so thealgebraic representations in aesthetic computing are meant to berigorous and accurate.
Indarawis and Rose spent a good part ofthe workshop explaining the method, which involves unpacking atraditional equation into its parts and operations, and thenrepackaging it in very nontraditional form, one that resembles adiagram with circles and lines. The final step is the fun one:depicting the re-formed equation as a piece of art or a short story.
Rosetook the teachers through the process with the equation for a straightline. The final result was "Dorm Life," a picture that included astereo, lava lamp, power strip, several cords and plugs and anelectricity bill. Each object represented a variable or operation inthe equation, while the bill represented the solution, or result.
Theteachers tried their hand next, seeking to dissect and then depict thePythagorean Theorem. McHenry wound up with a garden. Ballas, whoteaches at a technical high school with a culinary arts program,created a menu. They and the other teachers struggled with reformingthe equations in the aesthetic computing mold, but they seemedintrigued.
Julie Edison, a teacher at Dunnellon High, said highschool students do not get enough hands-on learning. Aestheticcomputing may quench that need, no small achievement for an area thatseems hopelessly abstract.
"This idea gives the students astructure to use with any concept, from the real fundamental all theway through trigonometry and higher math," she 16, 2013 — Researchers have found high school students in the United States achieve higher scores on a standardized mathematics test if they study from a curriculum known as integrated ... full story
Mar. 21, 2013 — Ninth-graders in Chicago Public Schools have significantly benefited from double-dose algebra (attending two consecutive periods of the subject) in ways that were not easily observable in the ... full story
ScienceDaily features breaking news and videos about the latest discoveries in health, technology, the environment, and more -- from major news services and leading universities, scientific journals, and research organizations.
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In this book we generate graphic images using the software Mathematica thus providing a gentle and enjoyable introduction to this rather technical software and its graphic capabilities. The programs we use for generating these graphics are easily adaptable to many variations. These graphic images are enhanced by introducing a variety of different... more...
Presents an introduction to MuPAD - a modern Computer Algebra System. This book shows how we can use it in various areas of mathematics. It devotes a chapter to the graphical visualization of mathematical concepts. It is a resource for conducting workshops on using Computer Algebra Systems to explore and visualize mathematical concepts. more...
Introduces the reader to Mathematica's various approximate numbers, their arithmetic and the common numerical analysis operations such as numerical integration, root-finding, equation solving, minimization, and differential equation solving. This resource is useful for practitioners, professionals, and researchers. more...
The presentation of this book is on the comprehensible application of techniques for the approximation of the mathematical problems that are frequently observed in physical sciences, engineering technology and mathematical physics. The acceptance of the technique for the solution has been justified from mathematical point of view. The Software required... more...
Need to learn MATHEMATICA? Problem SOLVED!
Take full advantage of all the powerful capabilities of Mathematica with help from this hands-on guide. Filled with examples and step-by-step explanations, Mathematica Demystified takes you from your very first calculation all the way to plotting complex fractals.
Using an intuitive format, this... more...
This multi-author contributed proceedings volume contains recent advances in several areas of Computational and Applied Mathematics. Each review is written by well known leaders of Computational and Applied Mathematics. The book gives a comprehensive account of a variety of topics including - Efficient Global Methods for the Numerical Solution of Nonlinear... more...
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Basic College Mathematics - 2nd edition
ISBN13:978-0077281137 ISBN10: 0077281136 This edition has also been released as: ISBN13: 978-0073406114 ISBN10: 0073406112
Summary: Basic College Mathematicsoffers a refreshing approach to the traditional content of the course. Presented in worktext format,Basic College Mathematicsfocuses on basic number skills: operations and problem-solving with whole numbers, fractions, and decimals. Other topics include geometry, measurement, ratios, proportions, percents, and the real number system (with an introduction to algebra). The text reflects the compassion and insight of its experienced author team with features dev...show moreeloped to address the specific needs of developmental level students.132132405.51 +$3.99 s/h
Good
newrecycleabook centerville, OH
0077281136
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, updated edition is intended especially for students and teachers in high schools where mathematics is still taught in the three-course sequential math format. The book is also useful as a general high school mathematics review manual. Among the many topics covered are algebraic methods and complex numbers, functions and circles, trigonometry and solving triangles, and an introduction to probability and statistics. The book also features four recently given New York State Regents Course III Exams, answer keys, and a glossary of math terms.
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Basic Mathematics - 7th edition
Summary: Patient and clear in his explanations and problems, Pat McKeague helps students develop a thorough understanding of the concepts essential to their success in mathematics. Each chapter opens with a real-world application. McKeague builds from the chapter-opening applications, such as the average amount of caffeine in different beverages, and uses the application as a common thread to introduce new concepts, making the material more accessible and engaging for student...show mores. Diagrams, charts, and graphs are emphasized to help students understand the material covered in visual form. McKeague's unique and successful EPAS system of Example, Practice, Answer, and Solution actively involves students with the material and thoroughly prepares them for working the Problem Sets. The Sixth Edition of BASIC MATHEMATICS also features a robust suite of online course management, testing, and tutorial resources for instructors and students. This includes iLrn Testing and Tutorial, vMentor live online tutoring, the Digital Video Companion CD-ROM with MathCue, a Book Companion Web Site featuring online graphing calculator resources, and The Learning Equation (TLE), powered by iLrn. TLE provides a complete courseware package, featuring a diagnostic tool that gives instructors the capability to create individualized study plans. With TLE, a cohesive, focused study plan can be put together to help each student succeed in math496 2010 Trade paperback 7th ed. Very good. Trade paperback (US). Glued binding. 589 p. Contains: Illustrations. Audience: General/trade. I have for sale a VERY GOOD CONDITION softbound textbook o...show moref 589 pages titled " BASIC MATHEMATICS " Seventh Edition, written by charles P. McKeague with a copyright year of 2010 by Brooks/Cole ( ISBN 0-495-55974-1 ) (28496) This textbook has minor cover, corner and edge wear. A couple of cover corners are slightly dinged. A couple of small creases are visible along the bottom edge of the binding. Glimpsing
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This is the free version of "Function Plotter". Completely free and without advertisements.This app, is able to draw multiple function graphs, calculate function values and value tables. It's also possible to integrate functions numerically.The following mathematical functions are available:polynomials, rational functions, trigonometric functions, inverse trigonometric functions, hyperbolic functions, natural logarithm, exponential function and all the possible combinations
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Distance Education: Web Course
Information
CRN 30128
From the Instructor:
INFORMATION
ABOUT ON-LINE MTH 112:
MTH 112 is specifically designed for students who plan to subsequently Calculus. During the quarter we will study applications of trigonometric functions and identities, right and oblique triangles, vectors, polar coordinates, parametric equations, and complex numbers.
This online course will be using Desire2Learn this term. To login to your course, please go to: and click on the Desire2Learn login.
In this online course the major topics have been divided into sections. Each section contains a collection of 'chapters' of online lecture notes that each focus on a particular aspect of the subject. Each week you will be expected to study a few 'chapters' of online lecture notes and read the corresponding sections of your textbook and do the suggested practice problems.
THOUGHTS ABOUT DISTANCE LEARNING AND MATHEMATICS:
It is not easy to learn mathematics via a computer. The time you would spend in class will instead be spent reading and studying mathematics on your computer and in your textbook. You will be trying to teach yourself the material. To be successful in this class, you must be an independent learner and pretty comfortable using a computer.
This course, like other math courses, is time-intensive. (In fact, on-line classes often require a bigger time commitment than on campus classes.) Classes like this one typically require about five hours each week reading and studying the material available online (just like attending class) and an additional eight to twelve hours reading the textbook, doing homework, and studying. Note that since the summer quarter is three weeks shorter than regular quarters, you'll need to spend even more time per week!
Please assess your situation, and determine if you will be able to commit this kind of time to the class. Also think about the type of learner you are. On-line courses are a terrific option, especially for independent, self-motivated learners. If this does not describe you, consider why it is you are thinking about taking this type of class, and if it really is a medium that will give you the best chance to succeed. DO NOT TAKE MTH 112 ONLINE BECAUSE YOU THINK IT WILL BE EASIER THAN AN ON-CAMPUS CLASS. For most students, it is MORE challenging online than on-campus.
Course Specific Requirements:
COURSE DETAILS
There are two proctored paper-and-pencil exams (the Midterm and Final). There will be scheduled times to take those exams at the Sylvania Campus, but if you cannot make those times you can make alternative arrangements to take them at a college testing center (either at PCC or another college). Otherwise, the entire course can be completed from a computer that has internet access.
You will need Microsoft Word and, once the course begins, you'll be provided an access code for the software Math Type that you'll be required to use to compose the math you write on four graded worksheets. (If you want to use other software for homework assignments you will need to obtain permission from the instructor.)
You will need Macromedia's *free* Shockwave Player to access some of the multimedia in this course. It only takes a moment to install if you don't already have it on your computer. While you are there, you may as well download the *free* Flash Player as well.
Students with disabilities should notify their instructor if accommodations are needed to take this class. For information about technologies that help people with disabilities in taking Web based distance learning classes please visit the Office for Students with Disabilities website.
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Introduction to Technical Mathematics - 5th edition
Summary: Introduction to Technical Mathematics, Fifth Edition, has been thoroughly revised and modernized with up-to-date applications, an expanded art program, and new pedagogy to help today's students relate to the mathematics they are learning. The new edition continues to provide a thorough review of arithmetic and a solid foundation in algebra, geometry, and trigonometry. In addition to thousands of exercises, the examples in this text include a wealth of applications from ...show morevarious technological fields: electronics, mechanics, civil engineering, forestry, architecture, industrial engineering and design, physics, chemistry, and computer science. ...show less
8.1 The Distributive Property and Common Factors 8.2 Factoring Trinomials 8.3 Factoring General Trinomials 8.4 The Difference Between Two Squares 8.5 The Sum and Difference of Cubes Summary Review Exercises Test
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Orlando Meetings: Presentation Summary
This is the summary of a presentation given at the Joint Mathematics
Meetings, January 10-13, 1996, Orlando, Florida.
Explorations in Geometry:
A Course for the Liberal Arts
Using materials developed under an NSF grant awarded to Mount
Holyoke College, a terminal course in geometry is taught for majors in the
humanities and social sciences divisions at Lewis & Clark College. The
only prerequisite is high school algebra. Topics covered include:
geodesics, distances, circles, and disks on surfaces; curvature; surfaces
of constant curvature (plane, cylinders, spheres, and hyperbolic planes);
Gauss-Bonnet Theorem for polygons on surfaces of constant curvature;
generalized Gauss-Bonnet Theorem; Euler characteristic; Gauss-Bonnet
formula; higher dimensions; and the universe. This is a hands-on course
with extensive use of models, e.g., globes and balls for spheres; cans and
cardboard tubes for cylinders; inner tubes for tori; paper models of
hyperbolic planes; stretched string and rubber bands for geodesic arcs;
etc. Students learn how mathematics evolves from vague ideas and
imprecise terminology into rigorous definitions and theorems. Mathematics
is a language - and so much more! This course is especially beneficial to
students who are more talented at visualization than at algebraic
manipulations. Similar materials have been used in a course at Mount
Holyoke College to attract students to minor or major in mathematics.
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Ripples in Mathematics The Discrete Wavelet Transform
9783540416623
ISBN:
3540416625
Pub Date: 2001 Publisher: Springer Verlag
Summary: This book gives an introduction to the discrete wavelet transform and some of its applications. It is based on a novel approach to discrete wavelets called lifting. The first part is a completely elementary introduction to the subject, and the prerequisites for this part are knowledge of basic calculus and linear algebra. The second part requires some knowledge of Fourier series and digital signal analysis. The conne...ctions between lifting and filter theory are presented and the wavelet packet transforms are defined. The time-frequency plane is used for interpretation of signals. The problems with finite length signals are treated in detail. MATLAB is used as the computational environment for examples and implementation of transforms. The book is well suited for undergraduate mathematics and electrical engineering students and engineers in industry.
Jensen, A. is the author of Ripples in Mathematics The Discrete Wavelet Transform, published 2001 under ISBN 9783540416623 and 3540416625. Two hundred eighty nine Ripples in Mathematics The Discrete Wavelet Transform textbooks are available for sale on ValoreBooks.com, four used from the cheapest price of $36.08, or buy new starting at $44
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In this Algebra II worksheet, 11th graders solve problems in which they find the indicated term of the binomial expansion. The two page worksheet contains a combination of ten multiple choice and free response questions. Answers are included.
A week's worth of teaching on the Binomial Theorem. Lesson examples and a plethora of worksheets included. Learners find coefficients of specific terms within binomial expansions using notation of factorials and then apply these skills in using the Binomial Theorem to find solutions to practical applications.
In this Algebra II worksheet, 11th graders apply the binomial theorem to expand a binomial and determine a specific term of the expansion. The one page worksheet contains four problems. Answers are provided.
In this Algebra I worksheet, 9th graders determine the coefficient of the indicated term in a binomial expansion. The one page interactive worksheet contains five multiple choice questions, a hint for each question, and is self checking.
In this Algebra II/Pre-calculus worksheet, 10th graders use Pascal's Triangle or the Binomial Theorem to expand binomials. The one page interactive worksheet contains five multiple choice questions, a hint for each question, and is self checking.
In this binomial expansion worksheet, students solve and complete 81 various types of problems. First, they find the given sum and evaluate each factorial notation. Then, students expand each binomial and write only the coefficients. They also rewrite the sums using sigma notation.
In this binomial expansion worksheet, students solve 18 different equations that include various binomial expressions. First, they identify the top number as the binomial expression in each as n. Then, students determine the bottom number as 0 or 1 and on up. Finally, they list the numbers of the expansion beginning with n to the nth power and add.
A comprehensive lesson that explores and researches Pascal's triangle and relates its properties to the Binomial Theorem through a variety of lessons. Have the class practice expanding polynomials using the theorem. A few other formulas and functions related to this theorem will be explored
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The Simpsons and their Mathematical Secrets by Simon Singh Until I read this book I was unaware of the sprinkling of mathematics in the Simpsons. The book discusses the mathematicians on the writing teams of the Simpsons and Futurama. I must say that I was surprised to learn that most of the writers on these programmes are graduates or postgraduates of mathematics or physics. It is an excellent book for a layman as all the mathematics is explained in detailed. My reservation is that the book is a series of detached mathematical stories whose only common theme is that these stories appeared in the Simpsons or Futurama. Also these mathematical stories are so common that if you have read any mathematical popular book you would have come across them. So nothing new here. However I do think any serious mathematics student should purchase this book as it provides good motivation to study mathematics at undergraduate level.
Any author, agent, editor, publishing company CEO should purchase this book. I was not aware of all the details involved in publishing a book. This book is an excellent guidance to exactly how fiction and non-fiction books are produced and it has a nice although rather brief history of publishing.
This is a very thorough rigorous book on real analysis and would suit a strong undergraduate mathematics student. However it lacks concrete examples at the expense of abstract generalities so students who struggle with pure mathematics will find this book hard work.
For any student who wants to read mathematics at undergraduate level should purchase this book. It is an introduction to mathematical proof and at its present price of approximately £8 is a good buy. I think you can download it free from the authors' personal webpage. It has a large number of exercises to reinforce your understanding and some good illustrations. I do not know who published this book but it lacks a polished output and gives the impression that it has been printed on a local printer and bounded together; maybe this is why it can be sold at such a cheap price. Additionally it only gives solutions to odd numbered questions which can be off putting to a student who wants to use this book for self-learning.
A very clear and well written book which mixes autobiography and literature which has influenced him over the years. Interesting reading of academic life in Oxford, his personal family life and his work as the Sunday Times reviewer for over 40 years.
This is a book I would recommend for any undergraduate who wants to study mathematics, physical sciences or engineering. Each topic is very well and thoroughly explained. My single reservation is that it only provides odd numbered solutions. I think students who are not confident would prefer to have all the solutions so that they can check their work.
This is a book I would recommend to any student who wants to study mathematics, engineering or the physical sciences. The author makes everything so tangible and easy to understand. There are lots of figs in this book which is what is needed for a mathematics book of this kind.
This is a book that every potential undergraduate student of mathematics should purchase. It has a very thorough description of what is involved with being an undergraduate in mathematics at university. Alcock has succeeded in writing a relevant, interesting and beneficial account of what it is like to be a maths undergraduate. She highlights the differences between pure and applicable mathematics and what skills are needed to flourish in these. However the emphasis is on pure mathematics throughout the book. Additionally the author does not shy away from doing some serious mathematics even though the book is written for the layman. The technical mathematics is described in simple terms that all sixth formers will understand. The book is very well organised and has good quality writing style - well expressed, clarity, coherence etc. It is split into two - mathematics and study skills. My only reservation is the lack of illustrations. Including these would have more of an impact but it is not a serious omission. I would recommend this book to any student or teacher of mathematics. Kuldeep Singh
This is a popular mathematics book for the layman. The author has succeeded in writing interesting articles in mathematics which are laid out alphabetically. Dunham discusses the problems and personalities in the history of mathematics. If you want a student hooked into mathematics then this the book they should read. The technical mathematics in the book are excellently described in simple terms that the average layman can understand. Dunham really does bring mathematics to live in this book. Initially I was reluctant to purchase a book which is mapped out in alphabetic order. However Dunham managed to make the progression from one chapter to the next seamless. Chapter 1 is on arithmetic and the last chapter called Z is on complex numbers. The book is very well organised and has good quality writing style - well expressed, clarity, coherence etc. Dunham has struck the right balance between writing thoroughly and for the amateur or non-professional. Illustrations are sprinkled throughout the book and the author has used these with dramatic effect. I would recommend this book to any student or teacher of mathematic as well as for non mathematicians. Kuldeep Singh
The Story of Mathematics by Anne Rooney This book is full of interesting facts on the history of mathematics such as where our symbols + , - , = and originated from. There are also details of mathematics of the 20th Century such as fractals and fuzzy logic. In places the book is fascinating reading such as `Pascal's Triangle is called Khayyam's Triangle in Iran.' A student doing mathematics would find this book intriguing and learn some entertaining facts about the history of the subject. The author has made good use of colour in diagrams but the diagrams are not referenced. There is also no caption for tables. The layout of some details is rather peculiar. For example page 27 of the book claims that minus sign was first used by Johannes Widmann but does not mention who Widmann is until page 130. In general the book is full of interesting facts but does lack detail in places. I think it would have been a better book with fewer facts but more details and mathematics about some of these facts. I personally do not like the text layout in two columns per page. It just doesn't flow as well as a traditional one column per page book. Additionally it is confusing in places with various diagrams and boxed information on the same page. However I can see the advantage of being a portable book of 208 pages, something that you can fit into your pocket. Font size of the comprehensive index is rather small with three columns to the page. Even with these reservations I would recommend this book to any student or layman who is interested in the history of mathematics. Kuldeep Singh
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Ten computer programs are available from this website to
accompany the book Structural Analysis: A unified classical
and matrix approach, 6th edition by Ghali, Neville and
Brown. A detailed description of the software, its
objectives, its input and its output are included in
Appendix L of the book.
In Appendix L, the computer programs are divided into
three groups:
* (A) Linear analysis programs
* (B) Nonlinear analysis programs
* (C) Matrix algebra
The computer programs for groups (A) and (C) are available
to download from this website. The computer programs for
group (B) are available on disk and can be ordered from the
authors by using the form in the back of the book.
The software can be run on IBM computers or compatibles
operating with Windows or with DOS prompt (Command Prompt).
The software available to download consists of ten
computer programs:
(A) Linear analysis programs (basis: Chapter 22)
* PLANEF (plane frame)
* SPACEF (space frame)
* PLANET (plane truss)
* SPACET (space truss)
* PLANEG (plane grid)
These five programs are, respectively for the linear
analysis of plane frames, space frames, plane trusses,
space trusses, and grids.
(C) Matrix algebra (basis: Appendix A)
* ADD
* MULTIPLY
* INVERT
* SOLVE
* DETERM
These simple programs can perform frequently needed matrix
operations. The program ADD calculates the sum: [C] = [A] +
[B], where [A] and [B] are the given matrices; and are the
given multipliers. The program MULTIPLY determines the
product of two given matrices. The program INVERT
calculates the inverse of non-singular matrices. The
program SOLVE gives the matrix [X] in the simultaneous
linear equations [A] [X] = [B], when [A] and [B] are given.
The program DETERM calculates the determinant of a given
square matrix.
Three files are provided for each of the ten programs:
1. A file having the name ending '.FOR' (for example
PLANEF.FOR) contains the source code.
2. A file having the name ending '.EXE' (for example
PLANEF.EXE) is an executable file.
3. A file having the name ending '.IN' ( for example
PLANEF.IN) contains the input data for an example problem.
The source code of each program contains, at its
beginning, a short description of the output and
instructions for the preparation of the input file.
instructions for the preparation of the input file.
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This is the short version of the classic textbook, having only ten chapters, in contrast to its longer brother, whose title continues with the words "and boundary value problems." As this is the eighth edition of the book, the reviewer's task is twofold. He needs to write something for readers who have never seen the book under review, but also something for readers who want to know what is new in the most recent edition.
For the former, this is a solid introductory textbook into differential equations. Even in this short version, there is more than enough for a one-semester course. In fact, such a course can be taught using only chapters 1, 2, 4, 6, 7, and 8, which cover basic notions, linear, exact and separable equations, second order equations and their generalizations to higher order, Laplace transforms, and power series. Chapters 3 and 5 contain applications of the theory learned in the other chapters. The topical coverage is mathematically rigorous yet down-to-earth. There are plenty of exercises, half of which have their answers in the book. In case you have time to go further, which is not likely, the last two chapters contain matrix methods and partial differential equations.
As far as the what is new in the most recent edition, not that much, especially in the core parts that many instructors will use. There are some additions in other parts of the book, such as a review of integration in the appendix, several new projects, and extra material on eigenfunctions and eigenvalues. The latter will not be used by instructors whose students are to take linear algebra after differential equations.
To summarize, if you liked the previous editions, you will like this one, and if you have not seen any earlier editions, you might as well check this one out. If you do decide to use the book, make sure your students know whether you use the longer or shorter version — some will buy the wrong one every year.
Miklós Bóna is Professor of Mathematics at the University of Florida.
1. Introduction
1.1 Background
1.2 Solutions and Initial Value Problems
1.3 Direction Fields
1.4 The Approximation Method of Euler
Chapter Summary
Technical Writing Exercises
Group Projects for Chapter 1
A. Taylor Series Method
B. Picard's Method
C. The Phase Line
2. First-Order Differential Equations
2.1 Introduction: Motion of a Falling Body
2.2 Separable Equations
2.3 Linear Equations
2.4 Exact Equations
2.5 Special Integrating Factors
2.6 Substitutions and Transformations
Chapter Summary
Review Problems
Technical Writing Exercises
Group Projects for Chapter 2
A. Oil Spill in a Canal
B. Differential Equations in Clinical Medicine
C. Torricelli's Law of Fluid Flow
D. The Snowplow Problem
E. Two Snowplows
F. Clairaut Equations and Singular Solutions
G. Multiple Solutions of a First-Order Initial Value Problem
H. Utility Functions and Risk Aversion
I. Designing a Solar Collector
J. Asymptotic Behavior of Solutions to Linear Equations
3. Mathematical Models and Numerical Methods Involving First Order Equations
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Jun 27, 2008
The National Institute of Standards and Technology (NIST) has released a five-chapter preview of the much-anticipated online Digital Library of Mathematical Functions (DLMF). In development for over a decade, the DLMF is designed to be a modern successor to the 1964 "Handbook of Mathematical Functions," a reference work that is the most widely distributed NIST publication (with over a million copies in print) and one of the most cited works in the mathematical literature (still receiving over 1,600 yearly citations in the research literature). The preview of the new DLMF is a fully functional beta-level release of five of the 36 chapters.
The DLMF is designed to be the definitive reference work on the special functions of applied mathematics. Special functions are "special" because they occur very frequently in mathematical modeling of physical phenomena, from atomic physics to optics and water waves. These functions have also found applications in many other areas; for example, cryptography and signal analysis. The DLMF provides basic information needed to use these functions in practice, such as their precise definitions, alternate ways to represent them mathematically, illustrations of how the functions behave with extreme values and relationships between functions.
The DLMF provides various visual aids to provide qualitative information on the behavior of mathematical functions, including interactive Web-based tools for rotating and zooming in on three-dimensional representations. These 3-D visualizations can be explored with free browsers and plugins designed to work in virtual reality markup language (VRML). Mouse over any mathematical function, and the DLMF provides a description of what it is; click on it, and the DLMF goes to an entire page on the function. The DLMF adheres to a high standard for handbooks by providing references to or hints for the proofs of all mathematical statements. It also provides advice on methods for computing mathematical functions, as well as pointers to available software.
The complete DLMF, with 31 additional chapters providing information on mathematical functions from Airy to Zeta, is expected to be released in early 2009. With over 9,000 equations and more than 500 figures, it will have about twice the amount of technical material of the 1964 Handbook. An approximately 1,000-page print edition that covers all of the mathematical information available online also will be published. The DLMF, which is being compiled and extensively edited at NIST, received initial seed money from the National Science Foundation and resulted from contributions of more than 50 subject-area experts worldwide. The NIST editors for the DLMF are Frank W. J. Olver, Daniel W. Lozier, Ronald F. Boisvert and Charles W. Clark.
Related Stories
A classic online mathematical reference offered by the National Institute of Standards and Technology (NIST) now features a better way for users to view its most complicated illustrations—three-dimensional ...
The National Institute of Standards and Technology has released the Digital Library of Mathematical Functions (DLMF) and its printed companion, the NIST Handbook of Mathematical Functions, the much-anticipated successors
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Soon math problems will be no problem at all... Most math and study guides are as dry and difficult as the professors that write them. In The Humongous Book of Basic Math and Pre-Algebra Problems, author W. Michael Kelley enjoys being the exception. It is full of solved problems, but along the margin Kelley makes notes, adding missing steps and simplifying concepts. In this way questions that would normally baffle students suddenly become crystal clear. His unique method fully prepares students to solve those difficult, obscure problems that were never covered in class but always seem to find their way onto exams. • Annotated notes throughout the book to clarify each problem • An expert author on the topic with a great track record for helping students and math enthusiasts • Author's website calculus-help.com reaches thousands of students every month
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Technical Calculus with Analytic Geometry - 4th edition
Summary: This text is written for today's technology student, with an accessible, intuitive approach and an emphasis on applications of calculus to technology. The text's presentation of concepts is clear and concise, with examples worked in great detail, enhanced by marginal annotations, and supported with step-by-step procedures whenever possible. Another powerful enhancement is the use of a functional second color to help explain steps. Differential and integral calculus a...show morere introduced in the first five chapters, while more advanced topics, such as differential equations and LaPlace transforms, are covered in later chapters. This organization allows the text to be used in a variety of technology programs. ...show less
The Cartesian Coordinate System. The Slope. The Straight Line. Curve Sketching. Discussion of Curves with Graphing Utilities. The Conics. The Circle. The Parabola. The Ellipse. The Hyperbola. Translation of Axes; Standard Equations of the Conics. Review Exercises.
Antiderivatives. The Area Problem. The Fundamental Theorem of Calculus. The Integral: Notation and General Definition. Basic Integration Formulas. Area Between Curves. Improper Integrals. The Constant of Integration. Numerical Integration. Review Exercises Textbook Only 41upbooks Columbia, MO
Fast shipping! Great condition with only minimal wear
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Product Description
All the fantastic features that have made other Teaching Textbooks are so popular are included in the new Math 5. Designed for independent students, the Teaching Textbooks learner will discover a wealth of instruction written directly to them, clear examples, fun hand-drawn illustrations, highlighted important concepts, and of course, step-by-step solutions to every problem. Plus, a 5-10 minute interactive lecture is included for every lesson, and includes a print summary that reinforces the key concepts to remember. Automated grading, non-required additional practice problems, lectures and step-by-step audiovisual solutions to every homework and quiz problem make for a thorough and easy to use curriculum for both parent and student. Consistent review and real-world illustrations help reinforce both concepts taught, as well as the relevance of what they're learning.
Product Reviews
Teaching Textbooks Math 5 Kit (Windows & Macintosh)
4.4
5
20
20
product has great features
This is the best teaching method for math for homeschoolers. I've used teaching textbook since pre-algebra and was thrilled to see that teaching textbook was available starting in the 3rd grade. My youngest son loves it...he's been using since 3rd grade and now is on the 5th grade....Thank you!
August 20, 2013
My Son loves this program so much! He can work independently. The program would be a good fit for several types of learners. He used to complete one math lesson a week, now he completes up to three in one day. We will continue to buy this curriculum.
July 25, 2013
Easy to use, and it works!
I had previously tried non-curriculum, and 4 other curricula for my son. He had learned to say "I can't" in school and had particular difficulties in math. This curriculum, which we began using at the "third grade" level and have continued with, has worked well. We supplement with the word problem materials from Critical Thinking Publications, and with the online drill program of Reflex math - and my son wants to do his math first!. As he has difficulty with the physical acct of writing we use this on a split screen with the MathPad Plus program, to work out the problems. This means I don't really need the book, but I get it anyway so I can review what is coming up first.
Concerns that it is "not at grade level" don't matter to me, as we are working at several grade levels, catching up on math by completing 1.5 levels per year, and I don't care what level the program says it is -- only that my son is learning the skills. I have no intention of putting him back in school , so the level just is irrelevant.
December 23, 2012
5th Grade Teaching Textbooks
We LOVE Teaching Textbooks!! Three weeks ago we made the decision to remove our son from the public school system, and start home schooling. Math is not my best subject, and I didn't want to hold him back. With such huge pressure falling on my shoulders, I researched curriculum for 3 days. What a blessing to have found such a fantastic program. We are both learning to actually "enjoy" math time!
Gone are the tears and 3 hour homework battles. Thank You so much for creating such an awesome program, and easing some of the pressure! Now if only they would create programs for the other subjects! :)
November 5, 2012
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ering/Scientific Calculator
The two-line display scientific calculator combines statistics and advanced scientific functions and is a durable and affordable calculator for the classroom. The two-line display helps students explore math and science concepts in the classroom el w535xbsl performs over 330 advanced scientific
functions and utilizes writeview technology, 4 line display and multi line playback to make scientific equations easier for students to solve. It is ideal for students studying general math, algebra, geometry, trigonometry, ...
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Finite Math—Semester A
Whether it was about polynomials or imaginary numbers, we've all thought it at one point or another. We've all asked ourselves the one question that turns math into a bottomless pit of pointlessness: "When am I ever going to use this?"
Well, not anymore.
In this Common Core-aligned course, we'll find that the real world does, in fact, have a place for math—and that place is everywhere. (Shocking, we know.) With loads of problem sets, readings, and quizzes, we'll bring math to life and talk about
truth tables, arguments, and logical networks.
linear functions and systems of linear equations.
matrices and all the nifty things we can do with them.
both geometric and algebraic linear programming.
the math of finance, including interest and annuity.
P.S. Finite Math is a two-semester course. You're looking at Semester A, but you can check out Semester B here.
Course Breakdown
Unit 1. Logic
Logic is all about making statements. Sometimes they're fashion statements. Other times, they're mission statements. Then there's the occasional thesis statement or mathematical statement. We don't know if all the statements it makes are true, but that's where truth tables and logic circuits come into play.
$add to cartremove
Unit 2. Linear Functions
Whether it's review or brand-new information, we'll examine straight lines in a good amount of detail in this unit. We'll learn (or recall) a thing or two about slope, what it means when lines are parallel or perpendicular, and even recognize the various forms linear equations can take—with and without the Groucho glasses.
$add to cartremove
Unit 3. Systems of Equations
If you think you know all there is to know about systems of equations, we've got news for you: you don't. In this unit, we'll take you from refreshing your basic algebra skills all the way to solving systems of linear equations using Gauss-Jordan elimination. We'll even solve systems of more than two equations—and interpret our answers in context. Then you'll know all there is to know about these puppies.
$add to cartremove
Unit 4. Matrices
In this unit, we'll explore the ins and outs of matrices, taking several twists and turns on our journey in order to become matrix masters. Real-world applications? Challenging math problems? We know you're dying to learn more about matrices already. So strap yourself in, and let's see how deep the rabbit hole goes.
$add to cartremove
Unit 5. Linear Programming: Geometric
We'll start off linear programming by learning about linear inequalities. After delving into bounded and unbounded solutions to systems of linear inequalities, we'll get to the meat and potatoes of linear programming: optimization problems, the method of corners, and some really cool shading effects. Get those colored pencils ready.
$add to cartremove
Unit 6. Linear Programming: Algebraic
Don't get us wrong: graphing is great. It's cooler than Free Cone Day at Ben & Jerry's—but like ice cream on a hot day, graphing has its limitations. Luckily, we can solve linear programming problems algebraically and get ourselves out of any sticky situation, particularly when several variables are involved. In a nutshell, algebra makes linear programming plain and simplex. (You'll get that joke after you finish this unit.)
$add to cartremove
Unit 7. Math of Finance
Money talks—and you'll need to know a thing or two about interest, annuity, and amoritization if you're going to talk back. (Seriously, how do you expect to have a conversation if you don't speak the same language?) By the time we're through learning about loans, compounding interest, and sinking funds, you'll know exactly how to make your first million—and where to invest it.
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6,009It also covers all topics in a first year college linear algebra course. As an engineer, I use linear algebra to setup and solve complicated engineering problems. With a degree in computer engineering and minor in computer science, I have taken five logic math...
read more
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This is the Elementary Algebra textbook used by the Department of Mathematics in their Math 380 course at College of the Redwoods, Eureka, California.
Errata and Individual chapter and solutions are... More > available at:
7 download)<12 workbook)< Less
Ray's New Elementary Algebra. 241 pages. "In introducing Algebra to the student with Elementary Algebra, great care has been taken to make the student feel that he is not operating with... More > unmeaning symbols, by means of arbitrary rules; that Algebra is both a rational and practical subject, and that he can rely on his reasoning, and the results of his operations with the same confidence as in arithmetic. For this purpose, he is furnished, at almost every step, with the means of testing the accuracy of the principles on which the rules are founded, and of the results which they produce."
Ray's New Elementary Algebra focuses on the basic forms of Algebra. Algebraic Fractions, Simple Equations, Powers, Roots, Radicals, and finally Quadratic Equations are among the concepts explored. As always, after a concept has been taught, real-world applications for the process are given to the student.< Less
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Bristol, CT Math with you all the relevant Mathematics chapters (Numbers and Operations, Algebra and Functions, Data Analysis, Statistics and Probability), and teach you different methods to improve your score. I would recommend planning ahead and start preparing for the test 1 full year ahead, if you e...
...Algebra2 would cover a review of Algebra1 and contain more functions of its application in different area of its usage. Precalculus is a study of a combination of major math functions and some of its application. Having a good understanding of algebra and trigonometry would be very important in the success of the study
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Welcome Homeschool Math Teachers!
Are You Ready for Algebra?
I hope the answer to that question is YES! Why? Because Algebra is so much fun to teach! I'm sure that as a homeschool math teacher, you already know that. I think it's the turning point for a lot of students. This is where logic and challenge sets in.
I really give you A LOT of credit. I know that home schooling takes a lot of dedication and work! Homeschool math teachers especially have a hard job. KUDOS to You!
Do You Have An Algebra Curriculum?
Algebra 1 lays the foundation for all higher level math courses; therefore, it is especially important to choose a curriculum that your child likes and understands.
Algebra Class has been the perfect choice for many home school families. The format of the course allows for your child to complete the course independently. The detailed approach of Algebra Class focuses on developing a sold understanding of each concept before moving on. Let's see how it works...
Why Algebra Class for Your Homeschool Math Curriculum?
Your child will develop a strong understanding of Algebra through watching step by step video tutorials.
Your child will have ample problems to practice in order to solidify their understanding of the concept.
Your child will always be able to accurately assess themselves and find their mistakes by using the detailed,step-by-step answer keys provided for every problem.
If needed, your child will be able to complete the course independently and from any computer with an internet connection.
Sign up Now for only $14.99 per month OR Save 40% and Subscribe for a Whole Year for just $69.99
That's right, all you have to do is choose a username and password and you will have instant access to the entire Algebra Class curriculum! There is absolutely nothing that you have to download! It can't get much easier!
Please Note: You will not receive an actual book in the mail. This is an online course, and all materials can be saved or printed from your computer. You will access all worksheets and videos once you login to the secure online course.
A homeschool mom says...
Dear Karin,
I am a home school mom of five who struggled with finding a solid Algebra program for my older boys until I came upon your online algebra class. Your tutorials are straight forward and detailed.
Your assignments are designed in such a way that we can spend extra time on what my children need to and move on when they understand something more easily. I am a math-lover myself and am excited that you have finished Part 2 of this course.
My boys are understanding Algebra in a way that they never were able to with other courses due to the detail and care that are in each of your lessons. I also appreciate that you are available to answer questions.
Thank You!
Jacqui Coleman
Another Homeschool Parent Says...
My daughter is a ninth grade student attending a local high school in Toronto, Ontario. I am using the online Algebra Class to help her. She was not well prepared in Pre-Algebra, hence most of the subjects in Algebra 1 are new to her.
Algebra 1 is not a well taught subject. Her high school Math teacher does not use the method that you use, consequently, she is not grasping the subject matter thoroughly. Your step-by-step problem solving technique is helping her to understand the subject matter and individual topics.
My daughter comments that she likes your video presentations and wishes she could see a picture of you.
This e-course has helped my daughter to better understand Algebra in the following ways:
The topic (eg. Solving Equations) is explained and every detail of one step, two step, etc... is explained in such a clear manner that sometimes she stops the video to work out the problem, and then continue.
She can now distinguish between solving equations, writing equations, graphing equations, systems of equations, and word problems because of your video presentations.
In subtracting polynomials, she could not grasp it until she began to follow your Keep-Change-Change procedure.
We have used other Algebra products, but this differs because Karin is the only teacher who makes my daughter feel as if she is sitting beside the teacher.
Thank You!
Reggie Clark
Get Instant Access for only $14.99 per month OR Save 40% and Subscribe for a Whole Year for just $69.99
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