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This course will be offered in Fall 2015. Click here to join our mailing list to be notified when the course schedule is available.
AoPS Holidays
There are no classes on May 25, July 3, September 7, or November 23-27.
Who Should Take?
Students are ready for this class if they have mastered square roots and fractional exponents, order of operations, linear equations and inequalities, ratio, and proportion. We recommend that students have experience with factoring quadratics prior to taking this course.
Please note: Our Algebra sequence will not likely match up exactly with your school's.
Most students who have completed our Introduction to Algebra A course or a
high-level honors Algebra 1 course in school are ready for this class.
However, we encourage students to take our Introduction to Counting and Probability class before
beginning this course.
Visit our Recommendations page for help in choosing the right class.
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The first pre-algebra topic to focus on is knowing and understanding types of numbers, such as integers, fractions, decimals and negative numbers. Once that is clear you will be able to use various operational properties like the commutative, associative, and distributive properties. Generally,...
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This application is a basic tool for learning algebra. Users try to solve a system of linear equations with two equations and two unknown variables. It is based on the same problem used in the free ap... More: lessons, discussions, ratings, reviews,...
Every school child has played with a pool ball on a rectangular table or a carom puck on a square board. What would change if the table were a triangle or a pentagon? PolygonTrix is a game that s... More: lessons, discussions, ratings, reviews,...
iCrosss Lite allows you to build a cross-section of each available polyhedra by your defined plane. The plane can be defined by three points (taps) on polyhedron faces. The application supports regula... More: lessons, discussions, ratings, reviews,...
Algebra Concepts is a tool for introducing many of the difficult concepts that are necessary for success in higher level math courses. This program includes a special feature, the Algebra Tool Kit, wh... More: lessons, discussions, ratings, reviews,...
Algebra Concepts is an interactive learning system designed to provide instruction in mathematics at the 7th grade enrichment through adult levels. The instructional goals for Algebra Concepts include
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Hi Sam
I agree with Mike and Erik that basic algebra, Linear Algebra and complex
numbers are important.
For linear algebra you could check out this online book, I think it's quite
good:
You can probably pick up a fair bit of fundamental stuff at mathworld:
And of course everyone should have at least one friend with a degree in
mathematics... ;-)
Another thing: There's always more than one way to explain something. At
least initially, you should be selective about the kind of DSP books you're
reading -- there are quite a few out there for musicians (Ken Steiglitz, F.
Richard Moore and Perry Cook come to mind as authors). Don't feel
discouraged if you can't grok a text intended for a graduate engineering
course.
Best wishes
Ross.
----- Original Message -----
From: "Sam Ferguson" <thefishfinger at ihug.com.au>
To: "A discussion list for music-related DSP" <music-dsp at music.columbia.edu>
Sent: Tuesday, October 03, 2006 10:05 AM
Subject: [music-dsp] Basic Maths Topics for Music-DSP
> Hi Music-DSPr's -
>> I have a kind of broad question - What kind of maths should I know to get
> round a dsp book successfully, and where can I read about this maths
> before attempting my dsp book.
>> I've got a background in music, and thus most of my highschool maths is
> but a memory, and now I find it would be very useful. I'm usually ok with
> reading relatively well written books to understand these types of
> concepts, and I work in a fair number of computer programming languages
> successfully. However, when I open a proper maths book I feel a bit
> blinded by science; the breadth of topics is enormous, and I don't think
> I can cope with all of it (without starting an entire undergraduate
> degree's worth of work). However, when I open a dsp book I look at some
> of the maths in it and can't even understand some of the basic
> terminology/symbols so I'm obviously in need of some of it. I just want
> to understand the language so I can learn how to read these papers.
>> So my request is for a list of the maths topics that would be helpful for
> me, and an order in which I should attempt them.
>> Many thanks for any help you can provide.
>> Sam Ferguson
> Faculty of Architecture
> The University of Sydney
>sferguson at arch.usyd.edu.au>>>> --
> dupswapdrop -- the music-dsp mailing list and website: subscription info,
> FAQ, source code archive, list archive, book reviews, dsp links
>
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Bond is the number one series for 11 plus (11+) practice, with over 45 years of experience. Written by expert author Elisabeth Heesom Bond How To Do 11+ Maths is a practical guide offering a wealth of essential advice and tips for 11 plus success. - Guidance and practice for the 5796967","isPreorder":0},{"priceBreaksMAP":null,"buyingPrice":7.99,"ASIN":"0748796959","isPreorder":0},{"priceBreaksMAP":null,"buyingPrice":7.99,"ASIN":"0748784969","isPreorder":0}],"shippingId":"0748796967::ZAVcd3W8M2PwnAIi%2By9lOH6KKlcHs98fHRhW%2FkUZLw8JjEBosmqpCEDNMVZUWshY8ANGG9HNZJFIQXrNhMtx9dAP52xcKbWg,0748796959::huak2HGNXIoqYGEh5gN8G9r5S7u%2FisT8u2X%2FNWH%2Fe%2B%2BWUZshbExERySypIoGiafEoSREzuRmEr8xeE73Hmpr1VdfUf%2Bc9%2FpK,0748784969::dzIZwjf3b66Kh%2Fi%2BpVAxfAHpZasutcbrVcf%2FH1g8eqxwJvWq7NtOubOGvS%2FgVDFuIBw5jYOH0%2FCC%2BmOebURvNbl3kkg0Uyv brilliant - it goes right through the maths needed from basics up to advanced. It really helped me to pinpoint my son's weaknesses and where he had not understood the logic of certain concepts like fractions. He stands a much better chance of passing the exam now and even if he doesn't, his maths is much more solid.
Got my kid out of kumon due to the repititive nature of assignments. Found this book very practical and useful in teaching my kid in a structured manner. Knowing Maths and Teaching Maths are 2 different things and this book helped bridge the gap.
A very well organised book going through all the topics needed for 11 plus exam. It taught me how to explain ratio in a simpler way. Key facts gather all the knowledge a child should have. Well worth the money. Plus a bonus: 1 practice test included.
I bought this as my daughter was struggling with the 11+ Bonds assessment papers books. This book very clearly explains how to do every type of maths problem that is covered in the 11+ exam and does so very clearly and simply. It also has a series of test questions at the start of each section so you know whether you need to cover that section in depth or not.
I would advise this book for use at the very start of 11+ practise if possible. By introducing the correct methods early I think it will help with getting through the question books and moving up the levels. My daughter's understanding and ability to answer the questions was helped a great deal by having clear, concise explanations, and in truth mine was too as there were many types of question that I had forgotten how to do over that last 20 years! Not only that but it is full of useful tips (such as how to tell if a large number is divisible by various other numbers) etc.
This book is really well organised. It tackles each topic in turn. There is a short test at the beginning of each section so you can see how well your child understands the topic before you look at the information. It's very useful for identifying areas you need to work on and those you don't need to worry about. I would say this is a good bridging book for maths when your child is moving up to secondary school, regardless of whether they are sitting entrance tests or not.
I found this book to be very helpful for me to assist my son with his revision. The content is very clear and very easy to follow. I would recommend this to anyone following the Bonds 11+ 10 minute tests and the test papers.
An excellent resource for both parents, pupils and tutors preparing for the 11+/Entrance Exam for Grammar Schools. It is a very useful complement to the 11+ practice papers as it helps to identify pupils' strengths and weaknesses whilst revising the main topics required for the exam. It has been a godsend to us.
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Find a Fort Lupton Math majoring in physics made it inevitable for me to become increasingly good at the subject matter. Building a differential equation is a major step in creating a mathematical model for a physical system, be it mechanical, electrical, biological, ecological, economic or anything else; it is a st
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A Transition to Mathematics with ProofsDeveloped for the "transition" course for mathematics majors moving beyond the primarily procedural methods of their calculus courses toward a more abstract and conceptual environment found in more advanced courses, A Transition to Mathematical Proofs emphasizes mathematical rigor and helps students learn how to develop and write mathematical proofs. The author takes great care to develop a text that is accessible and readable for students at all levels. It addresses standard topics such as set theory, number system, logic, relations, functions, and induction in at a pace appropriate for a wide range of readers. Throughout early chapters students gradually become aware of the need for rigor, proof, and precision, and mathematical ideas are motivated through examples.
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Mathematics for Elementary Teachers: A Contemporary Approach, 10th Edition makes readers motivated to learn mathematics. With new-found confidence, they are better able to appreciate the beauty and excitement of the mathematical world. The new edition of Musser, Burger, and Peterson's best-selling textbook focuses on one primary goal: helping students develop a true understanding of central concepts using solid mathematical content in an accessible and appealing format. The components in this complete learning program work in harmony to help achieve this goal. The Tenth Edition features the Common Core Standards to accompany the NCTM standards that are integrated throughout the text.
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Easy Algebra Unit for Solving Equations
Word Document File
Be sure that you have an application to open this file type before downloading and/or purchasing.
1.16 MB | 23 pages
PRODUCT DESCRIPTION
This unit consists of 8 practices in algebra equations with easy solutions. The first 5 practices have 10 problems each and the last 3 have 20 problems each. The answer key for each practice has teaching suggestions when needed. The unit may be used as reinforcement for textbook practices, a simple unit to teach beginning algebra (solving equations), or for assessment. The teacher may want to use the practices for all of the class or just for those who need additional practice for mastery.
Shirley Spalding
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a-mathematics
Mathematics
Why choose this subject?
Because you love Mathematics and are so good at it. You might have an interest in exploring mathematical ideas from an
early age; your curiosity and interest may have been sparked by the world around you. You may be considering a career for
which mathematics is needed or for which it may be useful. The good news is that even if you do not know what you wish
to do at the moment, mathematics fits well with both arts and science subjects and is well regarded by higher education
institutions and employers. Recent studies have shown that those who have taken A Level Mathematics increase their
earning potential whatever their choice of degree. Studying Mathematics at AS and Advanced GCE will enable you to extend
your knowledge of such topics as algebra and trigonometry as well as learning some brand new ideas such as calculus. If you
enjoyed the challenge of problem solving at GCSE using such mathematical techniques, then you should find the prospect of
this course very appealing. It has been a popular and successful choice at Loxford.
Entry requirements: A GCSE Grade A from the higher tier of entry.
Combine this course with: Computing, a Science, a Language, English Literature, Design and
Technology, Economics, Geography.
Essential if you go on to: Continuing Education: Degrees in Mathematics and Science will almost
certainly require an 'A' Level in Mathematics.
Careers: Medicine, Statistical, Scientist, Engineer, Teacher, Surveyor etc.
Course Content:
Sixth Form mathematics at AS and A level follows the Edexcel modular course. All the modules are equally weighted and six
modules make an A level. An AS level is three modules, roughly equivalent to half an A level. There is no coursework or
practical work in the mathematics course. Each module is tested in a single 90-minute written examination.
YEAR 12 YEAR 13
Units (Core): Units (Core):
C1-Introduction to Advanced Mathematics C3-Methods for Advanced Mathematics
C2-Concepts for Advanced Mathematics C4-Applications for Advanced Mathematics
Unit (Applied): Unit (Applied):
M1- Mechanics 1, D1- Decision Mathematics S1 – Statistics, M1 – Mechanics, M2-
1 or S1-Statistics 1 Mechanics 2, S2- Statistics 2 or
D1-Decision Mathematics 1
Assessment:
YEAR 12 ASSESSMENT YEAR 13 ASSESSMENT
C1-Exam in January/June C3-Exam in January
C2-Exam in June C2-Exam in June
M1/S1 -Exam in June M2/S2/D1 -Exam in June
Course Description
AS Level Mathematics
This course aims to build on work already successfully completed at GCSE.
Modules are available in Core Mathematics, Mechanics, Statistics and Decision Mathematics.
While studying mathematics you will be expected to:
use mathematical skills and knowledge to solve problems;
solve quite complicated problems by using mathematical arguments and logic; understand and demonstrate what is
meant by proof in mathematics;
simplify real-life situations so that you can use mathematics to show what is happening and what might happen in
different circumstances;
use the mathematics that you learn to solve problems that are given to you in a real-life context;
use calculator technology and other resources (such as formulae booklets or statistical tables) effectively and
appropriately;
understand calculator limitations and when it is inappropriate to use such technology.
A2 Mathematics
Further modules are available in Core Mathematics, Mechanics, Statistics and Decision Mathematics, These allow for
application of knowledge, skills, understanding and modeling techniques to solve problems set in a real-life context.
Assessment of course is by examination in each of the three modules chosen by the candidate. This choice will reflect the
candidate's skills, knowledge and understanding.
This course aims to build on work already successfully completed at AS level.
AS/A2 Further Mathematics
This course is unusual in that it is an extension of the usual A Level Mathematics course and can only be studied by those
already doing A Level Mathematics and wishing to study Mathematics, Physics or Engineering at University. Further
Mathematics provides more opportunity to see how mathematics is applied and supports many other subjects with
mathematical based content.
Course Description
In addition to AS/A2 Mathematics, pupils can also follow as AS/A2 award in Further Mathematics. This requires that a
further 3 modules are completed for the AS and a further 3 module are studied for A2.
What will I learn on this course?
There are many good reasons for students to take Further Mathematics:
students taking Further Mathematics overwhelmingly find it to be an enjoyable, rewarding, stimulating and
empowering experience;
for someone who enjoys Mathematics, it provides a challenge and a chance to explore new and/or more
sophisticated mathematical concepts;
it enables students to distinguish themselves as able mathematicians in the university and employment market;
it makes the transition to a mathematics-rich university course easier
A typical distribution of modules for pupils studying Further Mathematics is:
Title Compulsory units Optional units
AS Mathematics C1, C2 One of M1, S1 or D1
AS Further Mathematics FP1 Two of D1, S1 or M1
Title Compulsory units Optional units
A2 Mathematics C3, C4 One of M2, S2 or D2
A2 Further Mathematics FP2 Two of D2, S2 or M2
Entry requirements: A GCSE Grade A/A* in Mathematics and also be taking A Level Maths
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A continuation of Algebra 1 (see course description). Use of irrational numbers, imaginary numbers, quadratic equations, graphing, systems of linear equations, absolute values, and various other topics. May be combined with some basic geometry. Emphasis on the ideas that lie behind dates, facts and documents
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Introduction to Algebra
Introduction to Algebra is full year course aimed at preparing California's low achieving 8th grade students for algebra. This course is designed by experienced middle school teachers who understand the mathematical and pedagogical needs of struggling students. By the end of the course, students will have studied all the topics identified for an Algebra Readiness Program in "Appendix E" of the 2006 California Mathematics Framework; and they will be better prepared for the General Mathematics California Standards Test (General Math CST), the California High School Exit Exam (CAHSEE), and algebra. The program was adopted by the state of California in the 2007 California Mathematics Adoption as an algebra readiness program.
Introduction to Algebra was developed by the UCLA Math Content Programs for Teachers (MCPT), with significant contributions from university mathematicians, educators with expertise in the teaching of special learners and English learners, an independent evaluator, and feedback from extensive field-testing. Introduction to Algebra targets students who are not ready for algebra. These students typically score far below basic, below basic, or in the low basic range on the 7th Grade California Standards Test.
Some Special Features of the Program
Cohesive and coherent design
Precise mathematical explanations and definitions for teachers and students
Emphasis on multiple representation ("fourfold way")
Student Packets that offer students manageable chunks of materials and a fresh start for success each week
Appropriate strategies and support that give struggling students full access to the curriculum
Ample practice that leads to fluency
Professional development available and strongly encouraged
Designed by California mathematics educators
Written by experienced California teachers
Edited by California university mathematicians
Piloted in California middle schools
Supported with professional development by local professional development provide
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Category Archives: TI Lessons
Recently, I was very honored to have the opportunity to speak at a professional development day at Illinois Central College. The math department their asked me to introduce them to the TI-Nspire, as they are starting to see a significant number of their students show up with the Nspire. In addition to a basic overview of the device, I presented the ICC math department with series of activities I might use in algebra, calculus, and statistics.
I thought TPM readers might be interested in the calculus activity, which involved graphing the derivative of a function on the TI-Nspire. In my experience, there are always some students that struggle to make the graphical connections between a function and its first derivative, despite possible problem solving methods such as curve sketching, sign tables, and matching the function with a list of possible derivatives.
In this video I offer another method to add to your bag of tricks, which is the TI-Nspire's dynamic geometry software. You can easily use its "construct perpendicular" feature to try to make clearer to students exactly where the key points are in the derivative that align to critical points in the original functions. Check out the video below for a more thorough explanation.
As I've mentioned a couple of times on Tech Powered Math, I'm leading the charge on our new statistics class at my school. It's the culmination of several years of effort, including a feasibility study, search for textbooks, curriculum adoption, and now implementation. It's very exciting and exhausting at the same time. The class is…… Continue Reading
This isn't at all a post I was planning to do, but again tonight I had another question on the Tech Powered Math Facebook page about the TI-84+C and asymptotes. If you press 2nd and FORMAT, you'll find an option called "Detect Asymptotes" that can be turned on or off. The people I've heard from…… Continue Reading
The first formula sheet document I am releasing for the TI-Nspire is one for trigonometry formulas. There are quite a few trig identities for students to memorize, so I hope this will serve as a good reference for you. This file will work for any up-to-date version of the TI-Nspire, including CAS or non-CAS, CX…… Continue Reading
Over the next few weeks, I'm going to be releasing a series of TI-Nspire formula "cheat sheets." Of course, cheat sheet is just a nickname for this kind of document, don't actually use them to cheat. Having the formulas on your graphing calculator can serve as a very valuable study guide when you are either…… Continue Reading
Texas Instruments today announced a significant update for their Math Nspired website. If you're not familiar with Math Nspired, it's a resource site for the TI-Nspire, primarily for math teachers, but to a lesser extent for students.… Continue Reading
The table feature allows you to quickly scroll the an x vs. y chart on your TI-84. This lesson demonstrates how the table can be used from beginning algebra graphs to finding a limit in calculus.… Continue Reading
The table feature allows you to quickly scroll the an x vs. y chart on your TI-Nspire. This lesson demonstrates how the table can be used from beginning algebra graphs to finding a limit in calculus.… Continue Reading
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- View your individual progress report at any time to analyse your results and improve on pastA Google User
Amazing Great app for revision! Need one for chemistry!
User reviews
A Google User October 21, 2012Similar
If you've seen ExamSolutions.net desktop version but want the ease of use on your Android Mobile or Tablet without the adverts but with all the video tutorials then this app is for you or your school.
Each app in this series covers the essential topics for the module, presenting them in short video tutorials and explained in a clear mathematical style so as you can progress quickly and smoothly through the topics. There are further supplementary exercises and worked solutions from past papers for you to try, essential to improving your grade.
It is like having your own personal tutor but at a fraction of the cost. You can pause, rewind, play again and again and learn at your own pace. Learn on the go or place a video in your favourites to view later.
This is a valuable resource that will work side by side with a text book and should help you to get the grade you want, whether you are at school, college or just studying on your own.
* PLEASE NOTE THAT THIS APP REQUIRES INTERNET CONNECTION TO PLAY VIDEOS.
To guide you through the Maths iGCSE, our tutor-led revision videos start by developing your basic mathematical skills, and progress you onto more advanced levels of learning as you build your confidence and understanding.
Whether you're studying the Cambridge or Edexcel Maths iGCSE, each tutor-led lesson begins with a clear set of learning objectives so you can easily see how it fits within the overall programme of study.
Each clip is presented by a fully-qualified teacher and, by combining easy to follow content with green-screen technology, you won't even realise you're learning.
Please note. *These videos are streamed on-demand for immediate viewing and require an internet connection. We recommend using a WI-FI connection to avoid charges incurred as a result of exceeding your data allowanceRevision Buddies brings GCSE students a comprehensive Maths revision app, covering the key topics across the higher and lower tiers of the AQA, OCR and Edexcel GCSE exam boards.
Over 1000 questions testing your knowledge, with explanations and progress charts to allow you to monitor your development and grow at your own pace.
Use our app anywhere, any time to get the most out of your revision.
Key features: Option to choose higher or lower tier, calculator or non calculator, based on your level 1000s of multiple choice questions Explanations to further understanding Choose to repeat difficult questions or select new questions at random Share your results with friends on Twitter and Facebook Monitor your progress with performance based graphs Test yourself with direct access to past papers and mark schemes, unique to this app
Whether you're on the bus, waiting at the doctors or chilling on the beach, use our apps to help you ace your exams!
All content has been written to the highest standard by Colin Stobart, since 2008 Colin has been Head of Mathematics at Sherborne International, a part of Sherborne School in Dorset. Prior to this he spent over 20 years at international schools in Malaga, Spain and Kuwait City. Throughout most of this time he has been Head of Department or Head of Secondary/ Assistant Head. Colin is an Assistant Examiner for Cambridge International Examinations marking GCSE/IGCSE and A2 levels each November and June. He is also a published author working with HarperCollins on IGCSE texts. Colin is dedicated to his subject and has striven to ensure that this content is in line with the requirements of the Edexcel, OCR and AQA GCSE exam boardsHi Guys, Here's a Smart Worksheet for IGCSE 2012 past papers 1 and 2 taken from both June's 2012 exam papers for the EdExcel examination board. The worksheet includes worked video solutions of all the questions. There's a host of extras and useful tools too. Resets are also included so that you can keep track of how you are doing. There's also an email? button so that you can submit any questions on this topic you might have. Hope you enjoy this sheet and any feedback is always appreciated. Cheers, Mark
Gojimo is the leading exam preparation app, stuffed full of brilliant content for whatever exam you're taking – that's over 150,000 quiz questions covering SAT, ACT and AP, and others. Basically more quizzes than you will ever need.
Created for students, by a student, Gojimo is easy to use and perfect for exam prep on the go:
• Save your money for things you enjoy - loads of our content is completely free • No Wi-Fi? No problem, content is accessible offline, enabling you to revise even when you have no signal • Keep life simple with everything you need in one place, Gojimo covers every major subject including Calculus, U.S. History, English Language, Chemistry, Psychology, Physics and many more • Feeling lucky? Pit your wits against a Random Test or select a specific topic to work on • Learn from your mistakes with detailed explanations for every question • Want to learn more? Option to buy premium study content from leading publishers like McGraw-Hill Education • Track your progress and watch your scores improve • Want to shout about your score? You can share your results via Facebook and Twitter
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This eBook introduces quadratic graphs and equations, from exploring the characteristics of quadratic graphs, to considering the standard form of the quadratic equation, factorising the quadratic and completing the square.
This eBook introduces the topic of inequalities, the meaning of the inequality symbols, how to rearrange and solve inequalities as well as the use of inequalities and number lines and the use of inequalities in graphs.
This eBook introduces the process of solving equations and rearranging formulas using elementary algebraic manipulation. We use examples that illustrate the process of solving an equation as well as the process of rearranging an equation, as well as set a number of challenging questions.
This eBook introduces the subjects of rounding numbers, accuracy and bounds as well as estimation and checking as they are closely linked. In this eBook we describe each of these concepts using knowledge of the suitability of our approach and a descriptive narrative.
Does English matter?
You better believe it does, and no where more than on the A.C.T.
English is the first section on the A.C.T. It is often taken for granted to the test takers demise!
Don't lose. Learn. Learn the Enlgish you need to succeed now by downloading A.C.T. English Explained by Yale alumnus Conderidge Smith. Download A.C.T. English Explained by Conderidge Smith now.
Does the A.C.T have a design? Or, is it randonmly thrown together?
No, the A.C.T. is not random. Yes, the A.C.T. has a design!
Download A.C.T. Advice #1: Discern the Design by Yale alumnus Conderidge Smith now in order to learn the design behind the A.C.T. and leverage it to your advantageBy applying the knowledge and tools presented in this book, you will learn to manage money wisely and develop good financial habits; and these sound financial habits will in turn become your building blocks for a secure futureThis guide presents a valuable help to the students of English Literature. The summary of each of the poems in this guide is followed by the form of the poem, critical analysis, and the text of the poem.
This book illustrates the potential for eliciting increased social interaction in children with autism when working alongside other with computers, and suggest the possibility that time spent with computers by children with autism may help them to gravitate from a solitary activity towards a social one.
Teachers, Home Schoolers and Parents: Keep Your Kids Happy as a Clam while Learning! CLAM (Cognitive Learning Activities & Manual) is for grades 2-7, with more advanced level activities taking it into grade 8. Perfect for home schooling and enrichment programs. Filled with craft activity resources to make learning fun.
Practice adding and subtracting 4th grade students.
The field of clinical psychology has come a long way, establishing itself as a scientific, needed profession. As a clinical psychologist, you will work to keep everyday people in tip-top mental health. By helping people gain insight into their deep-seated feelings, resolve conflicts, and create healthy goals and changes, you will make a tremendous difference in your client's life.
This guide will make you a lot of money passively. I've made over $1,000,000 and all of it was made through online endeavors. I lost a lot of time and money, but in the end, I succeeded, and I now know the secrets to making at least $1,000 a day. Luckily for you, you won't have to waste any more time or money because in this book, I give you the steps to making money easily in just a couple weeks.
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Included: (Click to preview)
About this Series
Lessons: 2
Total Time: 0h 23m
Use: Watch Online & Download
Access Period: Unlimited
Created At: 06/23/2009
Last Updated At: 07/20/2010
In this two part seriesPart twoThis series is a great review for a CLEP test, mid-term, final exam, summer school, or personal growth!
Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, CalculusLessons Included
If you don't get it the first time, or the second or the third or the fourth - fear not. Professor Burger is always interesting and fun to listen to. And eventually you'll get it!
Below are the descriptions for each of the lessons included in the
series:
Calculus: Undoing the Chain Rule
In this videoCalculus: Integrating Polynomials by Substitution
This lesson AssociationSupplementary Files:
Once you purchase this series you will have access to these files:
Buy Now and Start Learning
Buy this series to watch it immediately. View it as many times as you
need and download it to your computer or iPod (most lessons).
Satisfaction's guaranteed, so go get started!
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Reinforcing Algebra 1 Skills: Grades 8 & 9
CES-8482
Course Description
This class is designed to provide additional experience and practice for students who completed Algebra 1 but do not have a solid mastery of the concepts. Take what you already know about algebra and add to your skills by doing operations with polynomials, solving first degree equations and graphing linear equations with two unknowns. You'll also develop strategies for solving word problems. Strengthening these skills will help you in your Algebra 2 or Geometry class. Prerequisite: Algebra 1.
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This video was recorded at Machine Learning Summer School (MLSS), Canberra 2002. Machine Learning is a foundational...
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This video was recorded at Machine Learning Summer School (MLSS), Canberra 2002. Machine Learning is a foundational discipline of the Information Sciences. It combines deep theory from areas as diverse as Statistics, Mathematics, Engineering, and Information Technology with many practical and relevant real life applications. The aim of the summer school is to cover the entire spectrum from theory to practice. It is mainly targeted at research students, IT professionals, and academics from all over the world. Disclaimer: VideoLectures.NET emphasizes that we are not authors of these videos and we are not taking responsibility for the low quality of these videos. They were uploaded due to their content value in the scientific field of Computer Science and published with the permission of the organizers Unified Approach to Deduction and Induction to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material A Unified Approach to Deduction and Induction
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A+Click Math Self-study Tests and Skill Assessment for Grade 1 to Grade 12. It includes more than 1000 challenging problems...
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A+Click Math Self-study Tests and Skill Assessment for Grade 1 to Grade 12. It includes more than 1000 challenging problems and answers and tons of illustrations. The practice tests adapt to student ability. This website has a graduated set of problems, starting from very simple, to quite difficult. To progress to a new level, you have to answer five consecutive questions correctly. The questions are appropriate to elementary students; almost any second grader could answer the easiest. This is a good assessment test without being insulting or frustrating+Click Math Skill Self-Study Tests for Grade 1 to 12 to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material A+Click Math Skill Self-Study Tests for Grade 1 to 12
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A basic introduction to Boolean Logic and its basic operators: AND, OR, and NOT, along with search term examples and visual...
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A basic introduction to Boolean Logic and its basic operators: AND, OR, and NOT, along with search term examples and visual descriptions in the form of Venn Diagrams. This tutorial includes examples of Boolean searches with comparisons of number of results returned for variations on each search term. There is also a discussion of Implied Boolean search and how it is presented in some search interfaces Boolean Searching on the Internet to your Bookmark Collection or Course ePortfolio
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This video was recorded at 7th International Semantic Web Conference (ISWC), Karlsruhe 2008. We propose a novel method for...
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This video was recorded at 7th International Semantic Web Conference (ISWC), Karlsruhe 2008. We propose a novel method for reasoning in the description logic $\mathcal{SHIQ}$ . After a satisfiability preserving transformation from $\mathcal{SHIQ}$ to the description logic $\mathcal{ALCI}b$ , the obtained $\mathcal{ALCI}b$ Tbox $\mathcal{T}$ is converted into an ordered binary decision diagram (OBDD) which represents a canonical model for $\mathcal{T}$ . This OBDD is turned into a disjunctive datalog program that can be used for Abox reasoning. The algorithm is worst-case optimal w.r.t. data complexity, and admits easy extensions with DL-safe rules and ground conjunctive queries. Supported by the European Commission under contracts 027595 NeOn and 215040 ACTIVE, and by the Deutsche Forschungsgemeinschaft (DFG) under the ReaSem Description Logic Reasoning with Decision Diagrams: Compiling SHIQ to Disjunctive Datalog to your Bookmark Collection or Course ePortfolio
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An author's Snapshot for Foundations of Computer Science for the material found in MERLOT at...
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An author's Snapshot for Foundations of Computer Science for the material found in MERLOT at This snapshot shows an overview of the material. This was created in the: A Snapshot to your Bookmark Collection or Course ePortfolio
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Select this link to open drop down to add material Foundations of Computer Science: A Snapshotaktive Logik (Gateway to Logic) (CG1-1) to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Interaktive Logik (Gateway to Logic) (CG1-1)
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This video was recorded at Conference honoring the Winners of the Kurt Gödel Research Prize Fellowships 2008 and 2011. The...
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This video was recorded at Conference honoring the Winners of the Kurt Gödel Research Prize Fellowships 2008 and 2011. The purpose of these fellowships is to support original research in, and areas surrounding, the foundations of mathematics. (See Scope below for more details.) These fellowships are intended to carry forward the legacy of Kurt Gödel, whose works exemplify deep insights and breakthrough discoveries in mathematical logic, with profound impact on the philosophy and foundations of mathematics. In pursuit of similar insights and discoveries, we adopt the following criteria of merit for evaluating Fellowship applications: Intellectual merit, scientific rigor and originality of the submitted paper and work plan. The paper and research plans should combine visionary thinking with academic and scientific excellence. Potential for significant contribution to basic fundamental issues of wide interest, and the likelihood for opening new, seminal lines of inquiry that bear on such issues. Impact of the Fellowship on the project and likelihood that the Fellowship will make the proposed new lines of research possible. The expectation that the proposed research will be successful. Qualifications of the applicants will be evaluated on the basis of all available information including CV, research paper, research plans, research accomplishments, and letters of recommendation (recommendation letters are not required for senior applications). More about the event at Gödel Fellowship Kurt Gödel's Legacy and the Current Trends in Logic to your Bookmark Collection or Course ePortfolio
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PC-based software and interactive tutorial to learn how to write mathematical proofs. Makes use of innovative proof-checking...
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PC-based software and interactive tutorial to learn how to write mathematical proofs. Makes use of innovative proof-checking technology to provide instant feedback to students/users. Free, full-version download available at how to write mathematical proofs to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Learn how to write mathematical proofs
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Logic is a remarkable discipline. It is deeply tied to mathematics and philosophy, as correctness of argumentation is...
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Logic is a remarkable discipline. It is deeply tied to mathematics and philosophy, as correctness of argumentation is particularly crucial for these abstract disciplines. Logic systematizes and analyzes steps in reasoning: correct steps guarantee the truth of their conclusion given the truth of their premise(s); incorrect steps allow the formulation of counterexamples, i.e., of situations in which the premises are true, but the conclusion is false.Recognizing (and having conceptual tools for recognizing) the correctness or incorrectness of steps is crucial in order to critically evaluate arguments, not just in philosophy and mathematics, but also in ordinary life. This skill is honed by working in two virtual labs. In the ProofLab you learn to construct complex arguments in a strategically guided way, whereas in the TruthLab the emphasis is on finding counterexamples systematically.Who should take this course?This is an introductory course designed for students from a broad range of disciplines, from mathematics and computer science to drama and creative writing. The highly interactive presentation makes it possible for any student to master the material. Concise multimedia lectures introduce each chapter; they discuss, in detail, the central notions and techniques presented in the text, but also articulate and motivate the learning objectives for each chapter.Open & Free VersionThe Open & Free, Logic & Proofs course includes the first five chapters of Logic & Proofs, providing a basic introduction to sentential logic. A full version of Logic & Proofs, including both sentential and predicate logic, is also available without technical or instructor support to independent users, for a small fee. No credit is awarded for completing either the Open & Free, Logic & Proofs course or the full, unsupported Logic & Proofs video was recorded at European Summer School in Logic, Language and Information. For the past 23 years, the European...
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This video was recorded at European Summer School in Logic, Language and Information. For the past 23 years, the European Summer School in Logic, Language and Information (ESSLLI) has been organized every year by the Association for Logic, Language and Information (FoLLI) in different sites around Europe. The main focus of ESSLLI is on the interface between linguistics, logic and computation. ESSLLI offers foundational, introductory and advanced courses, as well as workshops, covering a wide variety of topics within the three areas of interest: Language and Computation, Language and Logic, and Logic and Computation. Previous summer schools have been highly successful, attracting up to 500 students from Europe and elsewhere. The school has developed into an important meeting place and forum for discussion for students and researchers interested in the interdisciplinary study of Logic, Language and Information. Detailed in Games to your Bookmark Collection or Course ePortfolio
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Pure Mathematics 1 and 2 (Cambridge Advanced Level Mathematics)
Synopses & Reviews
Publisher Comments:
This book is part of the Cambridge Advanced Level Mathematics series, written specifically for the OCR modular mathematics syllabus. Each book or half-book corresponds exactly to one module. Pure Mathematics 1 &2 contains the material for modules P1 and P2 in separate halves of the book. It has chapters on algebra, functions, graphs, trigonometry and exponentials, and it introduces calculus. Each chapter starts with a short list of learning objectives, and mathematical ideas are explained carefully and clearly, with many worked examples. There are plenty of exercises throughout, along with revision exercises and mock exam papers - all written by experienced examiners.
Synopsis:
2 is part of the Cambridge Advanced Level Mathematics series, and contains the material for the OCR syllabus modules P1 and P2
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Students who take SAT subject tests apply to the most selective colleges in the country. These are high-aptitude kids with overbooked schedules-finally, there's a series that refuses to waste their time. The revolutionary MyMaxScore prep series now covers SAT subject tests. Each chapter begins with 5 to 10 test questions to diagnose what students... more...
Whether you are returning to school, studying for an adult numeracy test, helping your kids with homework, or seeking the confidence that a firm maths foundation provides in everyday encounters, Basic Maths For Dummies, UK Edition, provides the content you need to improve your basic maths skills. Based upon the Adult Numeracy Core Curriculum,... more...
Lately there is an increasing interest in partial difference equations demonstrated by the enormous amount of research papers devoted to them. The initial reason for this increasing interest was the development of computers and the area of numerical analysis, where partial difference equations arise naturally when discretizing a partial differential... more...
Discrete Hilbert-type inequalities including Hilbert's inequality are important in mathematical analysis and its applications. In 1998, the author presented an extension of Hilbert's integral inequality with an independent parameter. In 2004, some new extensions of Hilbert's inequality were presented by introducing two pairs of conjugate... more...
Most people don?t think about numbers, or take them for granted. For the average person numbers are looked upon as cold, clinical, inanimate objects. Math ideas are viewed as something to get a job done or a problem solved. Get ready for a big surprise with Numbers and Other Math Ideas Come Alive . Pappas explores mathematical ideas by looking behind... more...
This research monograph deals with a modeling theory of the system of Navier-Stokes-Fourier equations for a Newtonian fluid governing a compressible viscous and heat conducting flows. The main objective is threefold. First , to 'deconstruct' this Navier-Stokes-Fourier system in order to unify the puzzle of the various partial simplified approximate... more...
We always come cross several decision-making problems in our daily life. Such problems are always conflicting in which many different view points should be satisfied. In politics, business, industrial systems, management science, networks, etc. one often encounters such kind of problems. The most important and difficult part in such problems is the... more...
"Linear and Nonlinear Integral Equations: Methods and Applications" is a self-contained book divided into two parts. Part I offers a comprehensive and systematic treatment of linear integral equations of the first and second kinds. The text brings together newly developed methods to reinforce and complement the existing procedures for solving... more...
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Beginning and Intermediate Algebra: An Integrated Approach
9780495831433
ISBN:
0495831433
Edition: 6 Pub Date: 2010 Publisher: Brooks Cole
Summary: Brooks Cole published this text book in 2010, and here you have a chance to buy or rent your own copy of this 6th edition version. Buy Beginning and Intermediate Algebra: An Integrated Approach online from us today for an affordable price. Cheap Beginning and Intermediate Algebra: An Integrated Approach couldn't be easier to get. The book is written by David R Gustafson, Rosemary Karr and Marilyn Massey, and you can ...find out everything there is to know about learning algebra at this level. Sell back to us as well if you already own a copy, because our buyback system makes it easy to do so.
Gustafson, R. David is the author of Beginning and Intermediate Algebra: An Integrated Approach, published 2010 under ISBN 9780495831433 and 0495831433. Three hundred ninety four Beginning and Intermediate Algebra: An Integrated Approach textbooks are available for sale on ValoreBooks.com, fifty eight used from the cheapest price of $61.88, or buy new starting at $224.01The most useful thing about this book was the breakdown of examples in each lesson. It really helped me figure out each problem. I also liked that it provided the answers in the back of the book for the odd problems. I liked that each lesson gave plenty of examples for different problems making it easier to follow and go look back if needed. I loved that the book provided definitions for terms even if they were terms I should already know, it was good to have them there just in case. The book also provided a formula key where needed that really helped! I would definatly recommend this book to beginner math students. The way this book is set up and the way it walks you through everything so smoothly makes this the perfect math book to begin the college experience with. It's not overwhelming with math jargon that will confuse you.
I needed this book from math 98 and math 100. My teacher wasn't dry good so I was glad I had this book because I was able to go back in the book and figure out what she wasn't teaching me right. My class was a basic math and algebra course.
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Computational Partial Differential Equations Using MATLAB
Written for students in computational science and engineering, this book introduces several numerical methods for solving various partial differential equations. The text covers traditional techniques, such as the classic finite difference method and the finite element method, as well as state-of-the-art numerical methods, such as the high-order compact difference method and the radial basis function meshless method. Topics covered include finite difference methods for parabolic equations, high-order compact difference methods, and mixed finite element methods.
MATLAB is used to solve numerous application examples throughout the text.
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Schaum's has Satisfied Students for 50 Years.
Now Schaum's Biggest Sellers are in New Editions!
For half a century, more than 40 million students have trusted Schaum's to help them study faster, learn better, and get top grades. Now Schaum's celebrates its 50th birthday with a brand-new look, a new format with hundreds of practice problems,...Mathematical finance is a prolific scientific domain in which there exists a particular characteristic of developing both advanced theories and practical techniques simultaneously. Mathematical Modelling and Numerical Methods in Finance addresses the three most important aspects in the field: mathematical models, computational methods, and applications,... more...
Offers an examination of important theoretical methods and procedures in applied analysis. This book details the important theoretical trends in nonlinear analysis and applications to different fields. It is suitable for those working on nonlinear analysis. more...
Object Relationship Notation (ORN) is a simple notation that precisely defines relationships by combining UML multiplicities with defined referential actions. This title shows how ORN can be used in UML class diagrams and database definition languages (DDLs) to better model and implement relationships and thus develop database applications. more...
This textbook prepares graduate students for research in numerical analysis/computational mathematics by giving to them a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps the student to move rapidly into a research program. The text covers basic results of functional analysis, approximation theory,... more...
Presents a comprehensive study of the classical topic of functional equations. This monograph explores different aspects of functional equations and their applications to related topics, such as differential equations, integral equations, the Laplace transformation, the calculus of finite differences, and many other basic tools in analysis. more...
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applications of maths in real life ppt
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Main parts of Robotâ"¢s arm:
Different Joints
Segments
Joints
Planar revolute joints
Prismatic joints
Ball joints
Screw joints
Types of Joints Video Presentation
General joints video
Our framework
2 segments
2 joints
Ball joints can rotate 360D
Video of our framework
The forward kinematics problem
The forward kinematic problem for a given robot arm is a systematic description of the relative
positions of the segments on either side of a joint, thus determining the position and orientation
of the hand from the arm.
We will consider a robot in R3, in part..................[:=> Show Contents <=:]
s " the equivalent
(used to present the solutions of the equations in a reduced way)
The forward kinematic problem
Problem: We have 3 dimensions:
Looking for a point with coordinates (u, v, w)
But we have 6 variables! (x, y, z, u, v, w)
We need to get rid of (x, y, z)
Solution:
Elimination
The forward kinematic problem
The Groebner basis " one of the polynomials looks like this:
u2 + v2 + w2= 5 " equation of a sphere
Problem:
Number of points presented by (x, y, z, u, v, w) is not equal to the number of points presented by
the above equation
Not all p..................[:=> Show Contents <=:]
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Description
Technical Math For Dummies is your one-stop, hands-on guideto acing the math courses you'll encounter as you work towardgetting your degree, certification, or license in the skilledtrades.
You'll get easy-to-follow, plain-English guidance onmathematical formulas and methods that professionals use every dayin the automotive, health, construction, licensed trades,maintenance, and other trades. You'll learn how to applyconcepts of algebra, geometry, and trigonometry and their formulasrelated to occupational areas of study. Plus, you'll find outhow to perform basic arithmetic operations and solve word problemsas they're applied to specific trades.
Maps to a course commonly required by vocational schools,community and technical college, or for certification in theskilled trades
Whether you're a student currently enrolled in a programor a professional who is already in the work force, TechnicalMath For Dummies gives you everything you need to improve yourmath skills and get ahead of the pack.
About the authors
Barry Schoenborn is a technical writer who has worked inmany of the trades described in the book.
Bradley Simkins has taught numerous classes and tutoredat the Multimedia Math Learning Center at American River College inSacramentoKaseberg/Cripe/Wildman's respected INTERMEDIATE ALGEBRA is known for an informal, interactive style that makes algebra more accessible to students while maintaining a high level of mathematical accuracy. This new edition introduces two new co-authors, Greg Cripe and Peter Wildman. The three authors have created a new textbook that introduces new pedagogy to teach students how to be better prepared to succeed in math and then life by strengthening their ability to solve critical-thinking problems. This text's popularity is attributable to the author's use of guided discovery, explorations, and problem solving, all of which help students learn new concepts and strengthen their skill retention. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
A no-nonsense, practical guide to help you improve your algebra II skills with solid instruction and plenty of practice, practice, practice
Practice Makes Perfect: Algebra II presents thorough coverage of skills, such as handling decimals and fractions, functions, and linear and quadratic equations, as well as an introducing you to probability and trigonometry. Inside you will find the help you need for boosting your skills, preparing for an exam or re-introducing yourself to the subject. More than 500 exercises and answers covering all aspects of algebra will get you on your way to mastering estimation and numbersense
SAT Math For Dummies gives you expert tips on how to makethe best use of the limited time allowed and get your best possiblescore!
There's no doubt that algebra can be easy to some while extremely challenging to others. If you're vexed by variables, "Algebra I For Dummies, " 2nd Edition provides the plain-English, easy-to-follow guidance you need to get the right solution every time!
Now with 25% new and revised content, this easy-to-understand reference not only explains algebra in terms you can understand, but it also gives you the necessary tools to solve complex problems with confidence. You'll understand how to factor fearlessly, conquer the quadratic formula, and solve linear equations.Includes revised and updated examples and practice problemsProvides explanations and practical examples that mirror today's teaching methodsOther titles by Sterling: "Algebra II For Dummies" and "Algebra Workbook For Dummies"
Whether you're currently enrolled in a high school or college algebra course or are just looking to brush-up your skills, "Algebra I For Dummies, " 2nd Edition gives you friendly and comprehensible guidance on this often difficult-to-grasp
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Analysis (MATH3068)
UNIT OF STUDY
Analysis grew out of calculus, which leads to the study of limits of functions, sequences and series. The aim of the unit is to present enduring beautiful and practical results that continue to justify and inspire the study of analysis. The unit starts with the foundations of calculus and the real number system. It goes on to study the limiting behaviour of sequences and series of real and complex numbers. This leads naturally to the study of functions defined as limits and to the notion of uniform convergence. Returning to the beginnings of calculus and power series expansions leads to complex variable theory: analytic functions, Taylor expansions and the Cauchy Integral Theorem. Power series are not adequate to solve the problem of representing periodic phenomena such as wave motion. This requires Fourier theory, the expansion of functions as sums of sines and cosines. This unit deals with this theory, Parseval's identity, pointwise convergence theorems and applications. The unit goes on to introduce Bernoulli numbers, Bernoulli polynomials, the Euler MacLaurin formula and applications, the gamma function and the Riemann zeta function. Lastly we return to the foundations of analysis, and study limits from the point of view of topology
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Arithmetic and Algebra Again
Browse related Subjects
...Read More techniques for breaking through common anxieties about numbers Takes a real-world approach that lets mathphobes learn the math they need as they need it Covers all key math areas--from whole numbers and fractions to basic algebra Features a section on practical math for banking, mortgages, interest, and statistics and probability Includes a new section on the graphing calculator, a chapter on the metric system, a section on word problems, and all updated exercises
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Overview Students develop a good vocabulary as one of the advantages of going to college. It is a result of reading scholarly texts, writing papers and essays, and listening to professors expound on a myriad of subjects. The SAT tests vocabulary directly through sentence-completion and reading-passage questions, and indirectly through appropriate word choice in the […]
Overview Solid objects have both volume and surface area. Formulas for calculations can be expressed using algebra, especially if the measurements of sides are stated by variables. The ratio of volume to surface area is important in applications in chemistry and biology. Measurement of Volume The volume of a solid is the amount of space […]
Overview Trigonometry in the form of triangulation is at the heart of navigation, whether it is by land, sea, or air. GPS systems use triangulation to find and fix positions, extrapolating what is unknown from what is known. Triangulation is also used to measure the distances between earth and distant stars and galaxies, thus aiding […]
Overview Students can connect algebra to geometry by expressing geometric inequalities in compound inequality form. Since the sum of the lengths of any two sides of a triangle is greater than the length of the third side, there are three inequality statements. All three inequality statements must be true for three line segments to form […]
Overview Any spinning object rotates around a central point called an axis. Tops, dreidels, gyroscopes, and spinning eggs rotate, rise, and seem to defy gravity, as long as they are moving. When they stop moving, they fall. Angular Momentum Angular momentum refers to movement in a circle rather than a straight line. Imagine the movement of […]
Overview Trinomial squares are also known as perfect square trinomials, and are the squares of binomial expressions. They factor as (a + b)(a + b) or (a – b)(a – b) where a and b are real numbers. Forms such as (a + b)(a -b) are special products that are also called the difference of […]
Overview Rational equations have many applications to real-world problems. Some of the types of problems that can be solved include geometric ratios, number problems, motion problems, and work problems. Geometric Ratios When solving geometric ratios, it helps to use the problem-solving strategy of making a sketch to check against and see if the answer makes […]
Overview The relationship of the length of the legs of the right triangle to the hypotenuse is expressed by one of the most famous equations in geometry, the Pythagorean Theorem. Deriving the measurement of the sides of the right triangle was one of the earliest uses of irrational numbers. Right Triangles Right triangles have one […]
Overview The demonstration of parallax is as close as an observer's own two eyes. It is the measurement of how the same object appears from two different points of view. Astronomers use the very small angles observed by parallax to estimate distances and relative motion of objects ranging from the sun, moon, and planets to […]
Overview One of the biggest controversies in science in the early 18th century was around the development of a new mathematical tool called calculus. In Europe, the mathematician, philosopher, and scientist Gottfried Leibniz held the attention of the scientific community. The most famous scientist of the day, Sir Isaac Newton, was the champion of Great Britain. […]
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Numerical Computing in C#
In this lesson I will show how to numerically solve algebraic and ordinary differential equations, and perform numerical integration with Simpson method. I will start with the solution of algebraic equations. The secant method is one of the simplest methods for solving algebraic equations. It is usually used as a part of a larger algorithm to improve convergence. As in any numerical algorithm, we need to check that the method is converging to a given precision in a certain number of steps. This is a precaution to avoid an infinite loop.
Our second example is a Simpson integration algorithm. The Simpson algorithm is more precise the naive integration algorithm I have used there. The basic idea of the Simpson algorithm is to sample the integrand in a number of points to get a better estimate of its variations in a given interval.
Finally, let me show a simple code for solving first order ordinary differential equations. The code uses a Runge-Kutta method. The simplest method to solve ODE is to do a Taylor expansion, which is called Euler's method. Euler's method approximates the solution with the series of consecutive secants. The error in Euler's method is O(h) on every step of size h. The Runge-Kutta method has an error O(h^4) Runge-Kutta methods with a variable step size are often used in practice since they converge faster than fixed size
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Algebra and Trigonometry: Graphs and Models with Graphing Calculator Manual
Algebra and Trigonometry : Graphs and Models
Algebra and Trigonometry : Graphs and Models
Summary
With a visual, graphical approach that emphasizes connections among concepts, this text helps readers make the most of their study time. The authors show how different mathematical ideas are tied together through their zeros, solutions, and "x"-intercepts theme; side-by-side algebraic and graphical solutions; calculator screens; and examples and exercises. By continually reinforcing the connections among various mathematical concepts as well as different solution methods, the authors lead readers to the ultimate goal of mastery and success. Basic Concepts of Algebra. Graphs, Functions, and Models. Functions, Equations, and Inequalities. Polynomial and Rational Functions. Exponential and Logarithmic Functions. The Trigonometric Functions. Trigonometric Identities, Inverse Functions, and Equations. Applications of Trigonometry. Systems of Equations and Matrices. Analytic Geometry Topics. Sequences, Series, and Combinatorics. For all readers interested in algebra and trigonometry.
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This course is a review of intermediate algebra. Topics include numbers, linear equations and inequalities, quadratic equations, polynomials and rational expressions and roots. Students must pass the class with a C or better.
Mathematics 0987: Foundations for Quantitative Reasoning MATH 0987
4-0-4. Prerequisite: None
This course is a review of algebra and mathematics literacy as preparation to take MATH 1001. Students will develop conceptual and procedural tools that support the use of key mathematical concepts in a variety of contexts. Students must pass the class with a C or better.
This course is a supplement to MATH 1001 and designated as a support to students taking Quantitative Skills and Reasoning concurrently. Topics covered will be prerequisites to MATH 1001 taken on an as needed basis and embedded into Quantitative Skills and Reasoning material. The course content will focus on developing mathematical maturity through conceptual understanding and mastery of foundational skills. Attendance in MATH 1001 is mandatory.
Mathematics 0989: Foundations for College Algebra MATH 0989
4-0-4. Prerequisite: None
This course is a review of introductory algebra as preparation to take MATH 1111 along with MATH 0999. Topics include properties of numbers, linear equations and inequalities, quadratic equations, graphs, polynomials and roots. Students must pass the class with a C or better.
This course is a supplement to MATH 1111 and designed as a support to students taking College Algebra concurrently. Topics covered will be prerequisites to MATH 1111 taken on an as needed basis and embedded into College Algebra material. Topics may include real and imaginary numbers, exponents, polynomials, equation solving, factoring, inequalities, quadratic equations, rational expressions and roots. Attendance in MATH 1111 is mandatory.
This course places quantitative skills and reasoning in the context of experiences that students will be likely to encounter. It emphasizes processing information in context from a variety of representations, understanding of both the information and the processing and understanding which conclusions can be reasonably determined. Topics covered include sets and set operations, logic, basic probability, data analysis, linear models, quadratic models and exponential and logarithmic models.
This course is an alternative in area A of the core curriculum and is not intended to supply sufficient algebraic background for students who intend to take precalculus or the calculus sequences for mathematics and science majors. Students receive credit toward graduation for only one of the following courses: MATH 1001, MATH 1111.
This course is a functional approach to algebra that incorporates the use of appropriate technology. Emphasis will be placed on the study of functions and their graphs; inequalities; and linear, quadratic, piece-wise defined, rational, polynomial, exponential and logarithmic functions. Appropriate applications will be included. Students receive credit toward graduation for only one of the following courses: MATH 1001, MATH 1111.
Mathematics 1113: Precalculus MATH 1113
3-0-3. Prerequisite: MATH 1111 with a C or better
This course is designed to prepare students for calculus, physics and related technical subjects. Topics include an intensive study of algebraic and trigonometric functions accompanied by analytic geometry as well as DeMoivre's theorem, polar coordinates and conic sections. Appropriate technology is utilized in the instructional process.
Mathematics 2008: Foundations of Numbers and Operations MATH 2008
3-0-3. Prerequisite: MATH 1001, MATH 1111, or MATH 1113
This course is an Area F introductory mathematics course for early childhood education majors. This course will emphasize the understanding and use of the major concepts of numbers and operations. As a general theme, strategies of problem solving will be used and discussed in the context of various topics.
Mathematics 2040: Applied Calculus MATH 2040
3-0-3. Prerequisite: MATH 1111 with a grade of C or better
Differential and integral calculus of algebraic, logarithmic, and exponential functions; applications to social sciences, business and economics, such as maximum-minimum problems, marginal analysis, and exponential growth models. This course is designed for those students for whom the standard Calculus sequence is not required.
Mathematics 2200: Elementary Statistics MATH 2200
3-0-3. Prerequisites: MATH 1001 or MATH 1111
This is a basic course in statistics at a level that does not require knowledge of calculus. Statistical techniques needed for research in many different fields are presented. Course content includes descriptive statistics, probability theory, hypothesis testing, ANOVA, Chi-square, regression and correlation.
3-0-3. Prerequisites: MATH 2262 with a C or better or permission of the instructor
An introduction to linear algebra and its applications. Includes linear systems, matrices, determinants, vector spaces and their subspaces, linear independence, linear transformations, inner products, eigenvalues and eigenvectors. Intended primarily for students pursuing degrees in mathematics, computer science, physics or engineering.
Mathematics 2901: Special Topics MATH 2901
Variable credit (1-3 semester hours credit)
Prerequisite: ENGL 0989
Special interest courses, which may not be transfer able, are offered in response to student demand and interest. In these courses, through oral or written communication, students will demonstrate the ability to synthesize information and articulate knowledge on issues relating to culture, society, creative expression, or the human experience.
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Clear explanations, an uncluttered and appealing layout, and examples and exercises featuring a variety of real-life applications have made this book. The book also provides calculator examples, including specific keystrokes that show how to use various graphing calculators to solve problems more quickly. Perhaps most important--this book effectively prepares readers for further courses in mathematics.
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Boa's Mathematical Methods for the Physical Sciences will provide you a good foundation in linear algebra and multivariate calculus, completely sufficient math background for a physics student (and a great reference forever). This is the standard math text for physics students at many universities, and it is what people expect physics majors to know when conducting summer research (at least to having the competency to look up and apply without asking). Any high school/intro college calculus text will provide sufficient calculus background to read Boas (Larson; Edwards & Penney; etc.).
This is pretty much perfect. I've taken courses on almost all the topics in this book and this would be the perfect refresher on all of them, exactly what I needed. Thank you very much for the suggestion.
Also you might need this for self study. Boas is an amazing physics textbook referenced by Griffiths Quantum Mechanics and Electrodynamics. I've covered the Boas text in 3 quarters as part of my undergraduate degree.
IMHO the best calculus book for a physicist is Tomas' Calculus (tons of applications, problems are sorted in the form "Applications" "Theory and Proof" ) an excellent book, for linear algebra I will recommend introduction to linear algebra by gilbert strang (amazing book) and you can complement the reading with the mit ocw video courses (Gilbert strang teaches at MIT) or an alternative, Linear Algebra by Howard Anton (more emphasis in theory-proof and little applications, but nevertheless a good book). Those are my recommendations, although I will suggest you that after having an idea of linear algebra, you should read Linear algebra done right by Axler (which is a proof book) since QM is just applied linear algebra. Hope this helps!
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Department of Mathematics
Math Learning Center
The Math Learning Center is an enabling environment for you to seek assistance with mathematical problems in any of your course work. Learning assistants (advanced students in mathematics) are available Sunday through Friday of each week. Students are encouraged to drop in, to work among themselves or with a learning assistant, during afternoon hours. Individual appointments may be made.
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Explorations in Complex Analysis
Publisher:
Mathematical Association of America
Number of Pages:
425
Price:
60.00
ISBN:
9780883857786
This new offering from the MAA is a collection of six inducements or invitations to further research for undergraduates with some background in complex analysis. The book is flexible enough to be a source of enrichment material, a basis for research projects, the kernel of a capstone course, or just a tool to ignite the interest of the mathematically curious.
Although the authors of the six chapters vary, the style and approach is much the same throughout. The goal is a kind of guided research that is focused on fostering independent student investigation and discovery. Each chapter begins with a guided tour of the topic and then offers students several opportunities to investigate further. Interspersed throughout the text are examples, Java applets, exercises, explorations and a variety of potential projects. The exercises are integrated into the text, designed with clear goals, and identified as essential for comprehending the material. The "explorations" are less goal-directed and aimed more at getting students to find directions to investigate on their own. The projects are optional activities, large and small, that might last a few weeks or a whole term.
The book's six chapters offer what the authors call "current research topics", although some are more current than others. Topics come in a reasonable variety. For those favoring geometry, there are chapters on minimal surfaces ("Soap Films, Differential Geometry and Minimal Surfaces") and "Circle Packing" (configurations of circles with specified patterns of tangency). To those who are inclined to complex function theory, there are "Anamorphosis, Mapping Problems and Harmonic Univalent Functions" (perhaps the closest to a bona fide current research topic) and "Mappings to Polygonal Domains" (creating univalent functions from one such domain to another). For the application-minded, there is "Applications to Flow Problems", about two-dimension vector fields in, for example, electromagnetic or fluid dynamics. Finally, there is "Complex Dynamics", which introduces chaos and fractals via iteration of complex analytic functions.
This is an attractive book that should have a lot of appeal to students. It offers a number of excellent avenues into research for undergraduates
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Interactive Tutorials in Maths for Economists
Peter Schuhmann, University of North Carolina, Wilmington; Michelle Sheran, University of North Carolina, Chapel Hill
Created and tested by a multi-institution consortium with funding from the US National Science Foundation, this site offers Economics students "Math you need, when you need it." Each topic has explanatory text with examples, plus self-test questions and an instructor page with learning objectives and further links. The site has an online assessment tool, iMath, which course leaders can use to conduct online tests. There are five topics as of Summer 2014, with many more in development.
WinEcon is an interactive learning software package for economics, business economics, maths for economics and the range of Sloman textbooks designed to support economics courses. The software provides many hours of tutorial material and includes: all the relevant theory, interactive exercises, self-assessment questions, economics databases and an economic glossary. Teachers of economics can integrate WinEcon into their Virtual Learning Environment (VLE) by creating links from any Web page, Word, Powerpoint or Excel document to specific WinEcon topics. Students working on their own machines can also make full use of these features to link to specific WinEcon screens from their lecturer's Web pages by installing the single user software.
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More About
This Textbook
Overview
Questions of maxima and minima have great practical significance, with applications to physics, engineering, and economics; they have also given rise to theoretical advances, notably in calculus and optimization. Indeed, while most texts view the study of extrema within the context of calculus, this carefully constructed problem book takes a uniquely intuitive approach to the subject: it presents hundreds of extreme-value problems, examples, and solutions primarily through Euclidean geometry.
* Unified approach to the subject, with emphasis on geometric, algebraic, analytic, and combinatorial reasoning
* Presentation and application of classical inequalities, including Cauchy—Schwarz and Minkowski's Inequality; basic results in calculus, such as the Intermediate Value Theorem; and emphasis on simple but useful geometric concepts, including transformations, convexity, and symmetry
* Clear solutions to the problems, often accompanied by figures
* Hundreds of exercises of varying difficulty, from straightforward to Olympiad-caliber
Written by a team of established mathematicians and professors, this work draws on the authors' experience in the classroom and as Olympiad coaches. By exposing readers to a wealth of creative problem-solving approaches, the text communicates not only geometry but also algebra, calculus, and topology. Ideal for use at the junior and senior undergraduate level, as well as in enrichment programs and Olympiad training for advanced high school students, this book's breadth and depth will appeal to a wide audience, from secondary school teachers and pupils to graduate students, professional mathematicians, and puzzle enthusiasts.
Editorial Reviews
From the Publisher
From the reviews:
"As an avid problem solver with a strong interest in inequalities…I am delighted to supplement my repertoire with the techniques illustrated in this volume…. The book contains hundreds of problems, classical and modern, all with hints or complete solutions…. Over the years, Titu Andreescu and various collaborators have used their experiences as teachers and as Olympiad coaches to produce a series of excellent problem-solving manuals…. The present volume continues that tradition and should appeal to a wide audience ranging from advanced high school students to professional mathematicians." –MAA
"The whole exposition of the book is kept at a sufficiently elementary level, so that it can be understood by high-school students. Apart from trying to be comprehensive in terms of types of problems and techniques for their solutions, the authors have tried to offer various different levels of difficulty making the book possible to use by people with different interests in mathematics, different abilities, and of different age groups." —V. Oproiu, Analele Stiintifice
"This excellent book, Geometric problems on maxima and minima, deals not only with these famous problems, but well over a hundred other such problems, many of which were completely novel and new to me. ... This book will certainly greatly appeal to highschool students, mathematics teachers, professional mathematicians, and puzzle enthusiasts. I would regard it as absolutely essential reading for students preparing for mathematics competitions around the world." (Michael de Villiers, The Mathematical Gazette, Vol. 92 (525),
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Pre-Calculus including trigonometry is designed for students who have successfully completed Algebra II and Geometry. Students will usesymbolic reasoning and analytical methods to represent mathematical situations, to express generalizations, and to study mathematical conceptsand the relationships among them. Students will use functions and equations as tools for expressing generalizations. This course will emphasizea study of trigonometric functions and identities as well as applications of right triangle trigonometry and circular functions. Students will beintroduced to polar coordinates in this class. Arkansas teachers will be responsible for integrating appropriate technology in the Pre-Calculuscurriculum.
Strand StandardPolynomial and RationalFunctions1. Students will analyze polynomial and rational functions graphically and algebraically.Exponential and LogarithmicFunctions2. Students will solve real world problems involving logarithmic and exponential functions. Draw and analyzegraphs and find inverse functions.Conics3. Students will identify, analyze and sketch the graphs of the conic sections and relate their equations and graphs.Sequences and Series4. Students will use sequences and series to represent, analyze, and solve real world problems and mathematicalsituations.Trigonometric Functions5. Students will use different perspectives to develop and apply the definitions of the six trigonometric functions.They will sketch and analyze graphs, find inverse functions, and solve real world problems.Oblique Triangles6. Students will identify, create, and solve real world problems involving oblique triangles and vectors.Trigonometric Equationsand Identities7. Students will verify trigonometric identities and solve trigonometric equations.Polar Coordinates8. Students will define polar coordinates and relate them to rectangular coordinates.
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18703259aths for Map Makers
This work should help anyone who has problems with the mathematics involved in map making or who wishes to acquire a better grounding in the subject. It starts from an elementary standpoint in which no previous knowledge is assumed, and progresses to give the student a sufficient level of understanding to cope with most topics encountered by the map maker, including those of elementary surveying. A large number of worked examples is given, together with exercises (and answers), for the reader to perform. Access to computer spreadsheets, though encouraged, is not essential but it is assumed that a hand calculator is available. The selection of topics and level of treatment has been carefully tailored to avoid confusing the beginner with too much detail. Mathematical topics and concepts are presented in a problem-oriented manner which enables the relevance of each topic to be made clear. Useful formulae summaries are provided at the end of each chapter. The book should be found useful to students of geography, cartography, surveying, civil engineering and photogrammetry. It is also suitable for anyone, in industry or academia, who requires a reference work on the mathematics involved in map making
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098 Developmental Arithmetic (3-0-3). Credit not applicable toward degrees. Required of students whose ACT Mathematics Main score is less than 15 or COMPASS Math score of 30 or less. Fundamental topics in arithmetic, geometry, and pre-algebra.
099 Developmental Algebra (3-0-3). Credit not applicable toward degrees. Required of students whose ACT Mathematics Main score is at least 15 but less than 19 or COMPASS Math score of 31 to 58. Fundamental topics in algebra for students with insufficient knowledge of high school level mathematics. PR: ACT Mathematics Main score of 15 or grade of "S" in MATH 098.
109 Algebra (3-0-3). Real numbers, exponents, roots and radicals; polynomials, first and second degree equations and inequalities; functions and graphs. PR: ACT Mathematics main score of 19 or grade of "S" in MATH 099.
211 Informal Geometry (3-0-3). Theorems are motivated by using experiences with physical objects or pictures and most of them are stated without proof. Point approach is used with space as the set of all points; review elementary geometry, measurement, observation, intuition and inductive reasoning, distance, coordinate systems, convexitivity, separation, angles, and polygons. No field credit for math majors/minors. PR: MATH 101 or higher.
220 Calculus I (4-0-4). A study of elements of plane analytical geometry, including polar coordinates, the derivative of a function with applications, integrals and applications, differentiation of transcendental functions, and methods of integration. PR: MATH 109 and MATH 110, or GNET 116, or ACT Mathematics main score of 26 or COMPASS Trigonometry score of 46 or above.
250 Discrete Mathematics (3-0-3). Treats a variety of themes in discrete mathematics: logic and proof, to develop students' ability to think abstractly; induction and recursion, the use of smaller cases to solve larger cases of problems; combinatorics, mathematics of counting and arranging objects; algorithms and their analysis, the sequence of instructions; discrete structures, e.g., graphs, trees, sets; and mathematical models, applying one theory to many different problems. PR: MATH 109 and MATH 110 or GNET 116.
290 Topics in Mathematics (1-4 hours credit). Formal course in diverse areas of mathematics. Course may be repeated for different topics. Specific topics will be announced and indicated by subtitle on the student transcript. PR: Consent of instructor.
400 Introduction to Topology (3-0-3). A study of set theory; topological spaces, cartesian products, connectedness; separation axioms; convergences; compactness. Special attention will be given to the interpretation of the above ideas in terms of the real line and other metric spaces. PR: MATH 240.
490 Topics in Mathematics (1-4 hours credit per semester). Advanced formal courses in diverse areas of mathematics. Courses may be repeated for different topics. Specific topics will be announced and indicated by subtitle on transcript. PR: Consent of instructor.
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If elementary algebra has changed since the late 16th century someone needs to let me know. These books have lots of educational value, however to print them like this year after year for enormous profit is fucking stupid. The most I feel a book like this is worth comes somewhere in the range of $10-20.
On another note, no child (parent of child) should have to pay for a textbook. Literary works need to be paid for to support the author making a living. Factual, wrote knowledge that is presented in a textbook should be to children and everyone else. Some textbooks do change often, medicine, cutting edge sciences, history and politics, but this is no excuse to make money off of education.
The former means memorizing without meaning. That is, in elementary algebra, knowing that x2 = 4 means x = +/- 2. But given this you are unable to solve for x in x2 = 9. Or really, anything except x2 = 4. Biology is a common example of "rote knowledge" where you can do very well on tests and exams without understanding any of the principles behind it and instead just memorizing numerous examples of actual systems. But given a new system where you need to think about what may happen you would be guessing blindly, or worse.
The latter only makes sense in context of the sentence but doesn't add much. Still, it's grammatically correct and close to what you wrote so I include it as a possibility.
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math app is a statistical calculator with various functions:
- Statistics: You are able to calculate the mean, median, variance, maximum and minimum for a set of numbers.
- Statistical Distributions: You are able to calculate the values of different Statistical Distributions. The following distributions are available: Binomial Distribution, Normal Distribution, Students t-Distribution, F-Distribution, Exponential Distribution, Poisson Distribution, Chi Squared Distribution
- Frequency Table: You are able to create a frequency table for a list of numbers. Just enter the numbers, separated by comma.
Best mathematical tool for school and college! If you are a student, it will helps you to learn statistics and probability theory.
Note: Statistics is the study of the collection, organization, analysis, interpretation and presentation of data. Probability theory is the branch of mathematics concerned with probability, the analysis of random phenomena. The central objects of probability theory are random variables, stochastic processes, and events.
AutoMath Smart Text Calculator supports: (photo calculator not yet available for most of the below) Any other math problems such as calculus, equation systems, complex math, graphing, table of values, and more
The "Nth root calculator" allows you to calculate the square root of a number, both square and up to 10 degrees. If the element is not measurable application will present it in its simplest form and show its approximate value.
• After having seen several students who did not know how to calculate their average (because of a no-transparency of the formula), we have decided to create a tool which makes easier the calcul of the ECTS average.
• As an electronic report format, the students can keep carefully their results in their smartphone/phablet/tablet.
• Indeed, this application allows you to simulate & calculate your average in function of the ects weight of the courses. By this way, you will be able to anticipate efficiently the points you will have to obtain in order to pass your academic year.
• Ects-Easiness will be with you during your whole school year projecting your results with graphics, improvements and advices.
• ECTS (European Credits Transfert System) is a system applied in the European Union that makes the studies programs comparison easier to understand in all differents european countries.
• You can check the wiki page for more informations about ECTS.
• For the moment, the application has been developped for Beglium, France and Portugal (indeed, usually the result of the average is /20 in these countries, but it may be that according publics/privates educational establishments, the scale of points varies).
N.B. The application will be subject to constantly updates, the average will be adapted to the legislation of new european countriesThis free app is a geometric calculator which is able to calculate area and volume.
Area Calculator: You are able to calculate the area for the most important geometric figures. You can calculate the area of circle, ellipse, rectangle, square, trapezoid, triangle, parallelogram, rhombus, sector and triangle.
Volume Calculator: You are able to calculate the volume for the most important geometric objects. You can calculate the volume of cone, cube, cuboid, cylinder, sphere, square pyramid and tetrahedron.
Best math tool for school and college! If you are a student, it will help you to learn geometry!
Talker features: ★ NO NEED TO ADD CONTACTS: Your contacts are downloaded automatically from Facebook/Google/Nk servers. ★ NO HIDDEN COST: Messages are sent for free, because app use Internet connection: 3G or Wifi if it is available. ★ PUSH NOTIFICATION: Talker will notifiy you automatically where somebody sent you a message. ★ USABLE USER INTERFACE: Talker let you to easily switch contact groups or current chat by swiping left or right. ★ BROWSING CHAT HISTORY: You can see your previous chat history. ★ CONTACT SEARCH: Contact search with suggestions. ★ GROUPS: Favorites and recent chats groups.
Tired of easy classic versions of 2048? Try hardcore edition! The board is only 3x3 tiles, so you have a little space and the game is much harder. Check out if you have brains to finish this hardcore version!
Swipe to move the tiles, the same numbers merges. Get 2048 in one tile to win a game!
Get the special photo reward, when you finish the game. If you know what I mean :).
Test your website with MobiBenchmark! Check if your webpage is well optimized for mobile users and upgrade it in order to provide better user experience. MobiBenchmark is a free tool for testing mobile version of the website. It uses W3C mobileOK validator in order to analyze the webpage source and point out errors. MobiBenchmark checks: - website's markup's source code and validates it against W3C validator; - performs a mobileOK test by W3C and returns evaluated rating, list of errors and warnings; - used transfer, download speed and time.
In addition MobiBenchmark provides a set of advices, how to upgrade your website basing on the W3C principles and rules for creating a mobile optimized webpages.
It is usefull in process of developing and debugging web service. It also allows to make a quick preview of website by triggering "view" button in action bar.
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A computer science professor at the State University of New York maintains this online repository, which serves "as a comprehensive collection of algorithm implementations for over seventy of the most fundamental...
Flavius Josephus was a Jewish historian living in the first century when he and his comrades found themselves trapped in a cave. Surrounded by Roman centurions, this band chose suicide over capture, and they elected to...
Would Lewis Carroll have approved of using "Alice in Wonderland" to teach algebra? We may never know, but that exact possibility turns up in episode two of the valuable "Teaching Math" series created by staffers at WGBH...
Shodor is a national resource for computational science education, sponsored by the NSDL and CSERD. In order to help students better comprehend and learn the mathematical components of computer science, Shodor has...
Using this Real World Learning Object, students will use data collected from the Global Sun ? Temperature Telecollaborative project to learn how ?linear functions, quadratic functions and other high-order pol...
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This is a free textbook offered by BookBoon.'The success of Group Theory is impressive and extraordinary. It is, perhaps, the...
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This is a free textbook offered by BookBoon.'The success of Group Theory is impressive and extraordinary. It is, perhaps, the most powerful and influential branch of all Mathematics. Its influence is strongly felt in almost all scientific and artistic disciplines (in Music, in particular) and in Mathematics itself. Group Theory extracts the essential characteristics of diverse situations in which some type of symmetry or transformation appears. Given a non-empty set, a binary operation is defined on it such that certain axioms hold, that is, it possesses a structure (the group structure). The concept of structure, and the concepts related to structure such as isomorphism, play a decisive role in modern Mathematics.The general theory of structures is a powerful tool. Whenever someone proves that his objects of study satisfy the axioms of a certain structure, he immediately obtains all the valid results of the theory for his objects. There is no need to prove each one of the results in particular. Indeed, it can be said that the structures allow the classification of the different branches of Mathematics (or even the different objects in Music (! )).The present text is based on the book in Spanish "Teoría de Grupos: un primer curso" by Emilio Lluis-Puebla, published by the Sociedad Matemática Mexicana This new text contains the material that corresponds to a course on the subject that is offered in the Mathematics Department of the Facultad de Ciencias of the Universidad Nacional Autónoma de México plus optional introductory material for a basic course on Mathematical Music Theory.This text follows the approach of other texts by Emilio Lluis-Puebla on Linear Algebra and Homological Algebra. A modern presentation is chosen, where the language of commutative diagrams and universal properties, so necessary in Modern Mathematics, in Physics and Computer Science, among other disciplines, is introduced.This work consists of four chapters. Each section contains a series of problems that can be solved with creativity by using the content that is presented there; these problems form a fundamental part of the text. They also are designed with the objective of reinforcing students' mathematical writing. Throughout the first three chapters, representative examples (that are not numbered) of applications of Group Theory to Mathematical Music Theory are included for students who already have some knowledge of Music Theory.In chapter 4, elaborated by Mariana Montiel, the application of Group Theory to Music Theory is presented in detail. Some basic aspects of Mathematical Music Theory are explained and, in the process, some essential elements of both areas are given to readers with different backgrounds. For this reason, the examples follow from some of the outstanding theoretical aspects of the previous chapters; the musical terms are introduced as they are needed so that a reader without musical background can understand the essence of how Group Theory is used to explain certain pre-established musical relations. On the other hand, for the reader with knowledge of Music Theory only, this chapter provides concrete elements, as well as motivation, to begin to understand Group Theory Group Theory - Applications to Mathematical Music Theory to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material An Introduction to Group Theory - Applications to Mathematical Music Theory
Select this link to open drop down to add material An Introduction to Group Theory - Applications to Mathematical Music Theory to your Bookmark Collection or Course ePortfolio
According to The Orange Grove, "In the first book about the archaeology of gender in native societies of southeastern North...
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According to The Orange Grove, "In the first book about the archaeology of gender in native societies of southeastern North America, these lively essays reconstruct the different social roles and relationships adopted by women and men before and after the arrival of Europeans in the 16th century. Case studies explore the ways in which gender differences affected people's daily lives by examining material evidence from archaeological sites, including grave goods, human remains, spatial configurations of burials and architecture, and evidence for economic specialization and the division of labor within households.Contents:Introduction: Gender and the Archaeology of the Southeast, by Christopher B. Rodning and Jane M. Eastman1. Challenges for Regendering Southeastern Prehistory, by Cheryl Claassen2. The Gender Division of Labor in Mississippian Households: Its Role in Shaping Production for Exchange, by Larissa Thomas3. Life Courses and Gender among Late Prehistoric Siouan Communities, by Jane M. Eastman4. Mortuary Ritual and Gender Ideology in Protohistoric Southwestern North Carolina, by Christopher B. Rodning5. Those Men in the Mounds: Gender, Politics, and Mortuary Practices in Late Prehistoric Eastern Tennessee, by Lynne P. Sullivan6. Piedmont Siouans and Mortuary Archaeology on the Eno River, North Carolina, by Elizabeth I. Monahan Driscoll, R. P. Stephen Davis, Jr., and H. Trawick Ward7. Auditory Exostoses: A Clue to Gender in Prehistoric and Historic Farming Communities of North Carolina and Virginia, by Patricia M. Lambert8. Concluding Thoughts, by Janet E. Levy Archaeological Studies of Gender in the Southeastern United States to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Archaeological Studies of Gender in the Southeastern United States
Select this link to open drop down to add material Archaeological Studies of Gender in the Southeastern United States to your Bookmark Collection or Course ePortfolio
״It is only when a building entirely fulfils the purpose for which it is intended and bears the impress of a genuine style...
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״It is only when a building entirely fulfils the purpose for which it is intended and bears the impress of a genuine style that it takes rank as a work of architecture. This definition, exclusive though it at first sight appears, brings within the province of the art every structure which combines with practical utility beauty of design and execution, from the humblest cottage to the most dignified temple or palacemitting Bookmarks...
Select this link to open drop down to add material Architecture by Nancy Bell to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Architecture by Nancy Bell
Select this link to open drop down to add material Architecture by Nancy Bellther״Mahmoud Farshchian (January 24, 1930-) is a world renowned master of Persian painting and miniatures. He was born in the...
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״Mahmoud Farshchian (January 24, 1930-) is a world renowned master of Persian painting and miniatures. He was born in the city of Isfahan in Iran(persia), a place famed for its art and artists, and it was here where he started to learn art and painting. His masterpieces have been hosted by several museums and exhibitions worldwide. He's the most prominent modernizer of the field of miniatures, an art form which was first established in China and later spread along Persia and other Middle eastern countries Farshchian to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Best of Farshchian
Select this link to open drop down to add material Best of Farshchian to your Bookmark Collection or Course ePortfolio
״Probably the most interesting moments of the trip abroad by the architectural students are those spent in sketching bits of...
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״Probably the most interesting moments of the trip abroad by the architectural students are those spent in sketching bits of interest in water color. And it is equally true, we believe, that nothing is so helpful, so reminiscent as these same notes of color when viewed in alter years Cathedral Cities of Spain: 60 reproductions from original water colours to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Cathedral Cities of Spain: 60 reproductions from original water colours
Select this link to open drop down to add material Cathedral Cities of Spain: 60 reproductions from original water colours to your Bookmark Collection or Course ePortfolio
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Product description
Historically, many of the most important mathematical concepts arose from problems that were recreational in origin. This book takes advantage of that fact, using recreational mathematics -- problems, puzzles and games -- to teach students how to think critically. Encouraging active participation rather than just observation, the book focuses less on mathematical results than on how these results can be applied to thinking about problems and solving them.
Each chapter contains a diverse array of problems in such areas as logic, number and graph theory, two-player games of strategy, solitaire games and puzzles, and much more. Sample problems (solved in the text) whet readers' appetites and motivate discussions; practice problems solidify their grasp of mathematical ideas; and exercises challenge them, fostering problem-solving ability. Appendixes contain information on basic algebraic techniques and mathematical inductions, and other helpful addenda include hints and solutions, plus answers to selected problems. An extensive appendix on probability is new to this Dover edition.
Table of contents
Preface; To the Reader; Acknowledgments
1. Following the Clues; Sample problems; Which chart or Diagram to Choose; Presenting a Solution; Some Steps in Problem Solving;
Tree Diagrams; The Multiplication Principle; Simplification; The Chapter in Retrospect; Exercises
2. Solve It With Logic; Sample Problems; Statements; Variables and Connectives; Negation; "And"—Conjunction; "Or"—Disjunction; Conditional and Biconditional Statements;
Drawing Conclusions; Compound Statements; Logical Implication and Equivalence; Arguments and Validity; The Chapter in Retrospect; Exercises
3. From Words to Equations: Algebraic Recreations; Sample Problems; Introducing Variables; The Chapter in Retrospect; Exercises
4. Solve It With Integers, Some Topics from Number Theory; Sample Problems; Diophantine Equations; Divisibility; Prime Numbers; The Infinitude of Primes; The Sieve of Eratosthenes; More About Primes;
Linear Diophantine Equations; Division With Remainders; Congruence; Casting Out Nines; Solving Linear Congruences; Solving Linear Diophantine Equations; The Chapter in Retrospect; Exercises
5. More About Numbers: Bases and Cryptarithmetic; Sample Problems; Positional Notation; Changing Bases; Addition and Multiplication in Other Bases; Cryptarithmetic; The Chapter in Retrospect; Exercises
6. Solve It With Networks: An Introduction to Graph Theory; Sample Problems; Graphs; Eulerian Paths and Circuits; Odd and Even Vertices; More Than Two Odd Vertices;
Directed Graphs; Hamiltonian Circuits; The Knight's Tour; Other Applications; Coloring Graphs and Maps; The Chapter in Retrospect; Exercises
7. Games of Strategy for Two Players; Sample problems; Chance-Free Decisionmaking; Games of Perfect Information; Finiteness; The Existence of Winning Strategies; Position--State of the Game;
The State Diagram of a Game; How Do We Find a Winning Strategy?; Finding a Winning Strategy by Working Backward; Finding Winning Strategies by Simplifying a Game;
Finding Winning Strategies With a Frontal Assault; How Many Possibilities Need Be Considered?;
Symmetry as a Limiting Factor; Déjà Vu—We've Seen it Before; The Game of Nim; Pairing Strategies; Variations of a Game; The Chapter in Retrospect; Exercises
8. Solitaire Games and Puzzles; Sample Problems; The Tower of Brahma; Dissection Problems; Polyominoes; Soma; Peg Solitaire; The Fifteen Puzzle; Even and Odd Permutations;
Coloring and the 15 Puzzle--A Second Approach; Colored Cubes; Colored Cubes--A Second Approach; The Chapter in Retrospect; Exercises
9. Potpourri; Decimation; Coin Weighing; Shunting; Syllogisms; Grab Bag; The Book in Retrospect
Appendix A. Some Basic Algebraic Techniques
Appendix B. Mathematical Induction
Appendix C. Probability
Bibliography; Hints and Solutions; Answers to Selected Problems; Index
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learner.org (Approved: Mrs Jefferies), produced by Annenberg Media
An introduction to the series with host, Saul Garfunkal, this program presents several mathematical themes (symbols, language, rules, and applications) and emphasizes why algebra is important in today's world. This program was originally used for a college algebra class; however, the topics and examples used are suitable for today's high school learners. (28:57
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Engineering Problem Solving with MATLAB, 2e
Included in Prentice Hall's MATLAB Curriculum Series, this text can be used for an introductory engineering course or as a reference in advanced courses. Presenting a consistent five-step problem-solving methodology, the author describes the computational and visualization capabilities of MATLAB, and illustrates the problem solving process through a variety of engineering examples and applications. Topics covered include basic engineering computing and visualization, numerical techniques for solving linear equations, symbolic math, signal processing, and control systems. New to this edition is a section discussing the Internet, electronic mail, and the World Wide Web.
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This program introduces students to fundamental concepts in algebra. Using two or three weighing scales, students must determine the weight of a specific object or group of objects. The program provid
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Prerequisites: High school pre-calculus, math analysis, or equivalent and demonstratable computer literacy. An introduction to computer science, this course covers problem-solving methods and algorithm development; modern programming methodologies; and fundamentals of a high-level block structured language. Solutions to mathematical and scientific problems and scenarios are emphasized.
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NCAT Redesign of Developmental Math
About the Redesign of Developmental Math
Working with a grant from the National Center for Academic Transformation (NCAT) in 2010, NOVA participated with all VCCS colleges in redesigning developmental mathematics. All three developmental mathematics courses were replaced with one unified course:
Important Information About Developmental Math
Developmental math now consists of nine units, each with a pretest, learning materials, homework, quizzes and a posttest.
The only prerequisite is demonstration of sufficient basic math skills, and a four-week basic skills course (BSK 1) is available for students who need it.
In both the basic skills and the developmental math courses, a Modified Emporium Model is used, combining interactive computer software with personalized, on-demand assistance and required attendance in the classroom and lab.
Students work individually, advancing through the units as quickly as they are able, with homework and testing done on the computer.
Students work through just the material they need to qualify for credit-level math courses, demonstrating mastery of each unit before progressing on to the next.
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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.
{"currencyCode":"USD","itemData":[{"priceBreaksMAP":null,"buyingPrice":12.55,"ASIN":"0486284247","isPreorder":0},{"priceBreaksMAP":null,"buyingPrice":16.4,"ASIN":"0195105192","isPreorder":0}],"shippingId":"0486284247::FRTw0vOwMurtRMcRVwk4kj1pruYS63nHg%2FufjZSeeaZqSQ4d4AXNZgd%2BiiHUoA91Dca%2FU3f2wXi5TLe0B3Ej37gradocYM2gLaT7dnblqVM%3D,0195105192::ZIyxpYsIVbe5oe2k085Sl6i%2Bg8cYg1I1VOMTEMT69aGSZhO1Ygr2VV0lJ4tM738weBTf5nOXF1VCU0Mbc81KM1U7bBEhtj8Zqy6BMx3tz very much in the same spirit as more recent books such as Keith Devlin's "Mathematics, the New Golden Age" (which I also recommend). It explains various subjects in pure mathematics in order to make them accessible and interesting to non-mathematicians. A great variety of subjects are covered, including abstract algebra, group theory, number theory, and especially topology, to which the author devotes several chapters. The links between different branches of mathematics (e.g. topology and group theory) are given special attention, and one of the central themes of the book is the fundamental unity of mathematics. I strongly recommend this book to anyone with a serious interest in mathematics. Plus, the price is definitely right!
This charming book was written by a man who knows how to teach, and how to have fun. For example, as each successive topic is discussed, Mr. Stewart is careful to furnish the reader with an intuitive grasp of its main points. Only then, does he delve into the topic's details. However, what really makes this book readable is the author's wit, and sense of delight, as he illuminates--one-by-one--the abstract concepts of modern mathematics. Amazingly, this book can be read by almost anyone, and they will come away with an understanding of the why, and the wherefore, of modern math. In theory at least, having a degree in pure math meant that I had insights that most engineers don't have. In reality, it meant I was more aware of what I didn't understand. When I got this book, I went straight to the topics I'd never gotten the point of: set theory, topology, and hyperspace. I was not disappointed, but it was not until I settled down and read the whole book that I really got the point. Modern mathematics (modern meaning the late 1800s on) provides a framework for all math. That is why it is--of necessity--more abstract, generalized, and rigorous. Interestingly, the figures in this book are hand drawn. Perhaps its because this book has a way of transporting the reader to a university classroom - somewhere. It wouldn't have seemed right if the figures were anything but hand drawn.
Deserves 10 stars. Here is an author who understands so many advanced concepts and who can write smoothly, clearly and convincingly, bearing the reader along with his keen and interesting mind. Convincingly demonstrates the interrelationships between different areas of modern mathematics. Great mathematics for the layman without being in the slightest bit condescending. I have had an amateur's interest in mathematics since high school but was never able to follow it up professionally. This book is the best I have read in the 30 years I have had this interest. A delight to read, educational and informative.
This is a serious book. Stewart explains clearly and concisely for a non-mathematician some of the central ideas of mathematics. Perfect for those willing to put in some thought. I'd also recommend it to anyone in first year pure math. And especially to anyone who teaches math.
This book is by far the best book on mathematics I have ever read. It teaches the concepts in an intuitive, exciting way, and yet it is able to remain fun and engaging throughout. Technical material is tackled, in depth, without there seeming to be any work done. There are no exercises to be done, you simply follow Stewart along for a tour through modern mathematics. Ian Stewart's writing is flawless and almost turns this book into a thriller. I read this book in one night- I could not put it down! I stayed up until 4 in the morning reading and rereading passages; it is truly a masterpiece. The chapters are as follows:
Chapter 1- Mathematics in General: Here Stewart describes certain aspects of mathematics, and discusses their purpose and implications. He talks about abstractness and generality, intuition vs. formalism, and pure vs. applied mathematics. He tells the reader the importance of understanding WHY a theorem is true, not simply that it is. He ends with a collection of anecdotes.
Chapter 2- Motion without Motion: This is an example of thinking a bit outside the box. The chapter is devoted to overturning Euclid's proof that the base angles are congruent, and making a new one based on rigid motions. It doesn't sound too engaging, but, somehow, Stewart manages to make it quite exciting!
Chapter 3- Short Cuts in the Higher Arithmetic: A basic introduction to number theory- prime numbers, moduli, congruences, etc. The informal tone makes this the easiest and most understandable read on number theory I've yet encountered.
Chapter 4- The Language of Sets: Throughout the rest of the book, Stewart uses the language of set theory, so he introduces that here in an easy to understand way (using some imagery like bags of items, etc).Read more ›
If you want great mathematical puzzles, you buy a Terry Stickels puzzle book. If you want to read about the universe from the world's best amateur mathematician and physicist, you read Martin Gardner. If you want a professional's point of view of all the above, you read anything by Ian Stewart. This is simply a must read for all clear thinking people.
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Precise Calculator has arbitrary precision and can calculate with complex numbers, fractions, vectors and matrices. Has more than 150 mathematical functions and statistical functions and is programmable (if, goto, print, return, for).
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A guide to the various geometry topics on Stothers' pages, including Euclidean, affine, projective, inversive, and hyperbolic geometries, and the Klein View of geometry. These pages began as an experiment in teaching projective conics using Cabri to provide the visualizations (topics covered: geometric and algebraic approaches to poles, polars, and duality; tangents; and conics as sections of cones). In addition, there are Cabri modules to illustrate several classical conics theorems, including the theorems of Desargues, La Hire, Pappus, Brianchon and Pascal. The modules cover construction, tangents, and duality.
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Description
A unique teacher pack for the Linked Pair of GCSEs in Mathematics. Endorsed by OCR, this pack includes teacher notes, worked examples, case studies and exercises to print and display, along with essential exam-style questions, the Linked Pair Teacher Pack offers full coverage of all the unfamiliar new topics.
Features
Focuses purely on the new topics, so it slots into your existing scheme leaving you free to teach the old familiar topics in your own way
Teacher notes and worked examples, including common misconceptions highlighted so you can deliver the new topics with confidence
Worksheet exercises with full answers to display, network or print, giving you the flexibility you need
Case study scenarios to provide unique engagement and relevance, as well as applying learning
Exam-style questions to give students familiarity with the new topics and new assessment objectives
Handy flexible format comprising book and CD, so you can use it in or out of class, and can allocate resources to your students
Created by the senior examiners, so you can be sure of the most authoritative resources
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Mathematics (including Statistics) is one of the largest departments at UNO, both in number of faculty and in diversity of mission. Intermediate Algebra, UNO's General Education Mathematics requirement, is taken by about 1000 students per year. College Algebra and Calculus I also have very large enrollments. There are many upper level courses serving both the needs of majors in other areas as well as math majors. We have a wide variety of student activities all of which are described in great detail on this website. We are attempting to make this website as comprehensive and useful as possible. Please let us know if you have any ideas about making it even better and more informative.
NEW DATA SCIENCE PROGRAM - FALL 2014
The Department of Mathematics is pleased to announce the Data Science Concentration for undergraduate and graduate students.
WHAT IS DATA SCIENCE?
Data Science is the art and science of transforming raw data into deliverable data products in order to help businesses or government agencies make more informed decisions. The Concentration in Data Science consists of eight major components: Data Visualization, Scientific Methods, Statistical Modeling, Statistical Computing, Real-world Data Applications, Data Consulting, Data Research, and Data Technology.
The Concentration in Data Science prepares students for a job as a Data Scientist, as well as providing a strong background for many other careers.
Because Data Science is a rapidly expanding field, creating a high demand for Data Scientists, the Department of Mathematics is committed to developing partnerships with the local business community, not only to assist with their data analysis needs, but to demonstrate the value of our Math majors.
For a complete description of the Data Science Program, click here. For course materials from the Introduction to Data Science course, click here.
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Find a Martins Additions, MD Algebra 2 use all of the major Python libraries including logging, configuration file parsing, multi-threading & multi-processing, as well as many advanced libraries for SQL integration, networking, XML/KML/HTML/etc. file parsing, and others. I don't think this is terribly important, but want to mention...
...Often when I tutor Algebra II, I'll break out an Algebra I book. Rational expressions are much easier after a review of exponent rules and difference of squares. It's exciting when a student realizes how many ways a given problem can be solved, displaying greater comprehension of the material by using the teacher's method and checking work with another method of their choice.
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Keith Devlin. You know him. You've read his columns in MAA Online, you've heard him on the radio, and you've seen his popular mathematics books. In between all those activities and his own research, he's been hard at work revising Sets, Functions and Logic, his standard-setting text that has smoothed the road to pure mathematics for legions of undergraduate... more...
Arnold's Problems' contains mathematical problems which have been brought up by Vladimir Arnold in his famous seminar at Moscow State University over several decades. In addition, there are problems published in his numerous papers and books. Many of these problems are still at the frontier of research today. more...
The physics of hot plasmas is of great importance for describing many phenomena in the universe and is fundamental for the prospect of future fusion energy production on Earth. Nontrivial results of nonlinear electromagnetic effects in plasmas include the self-organization and self-formation in the plasma of structures compact in time and space. These... more...
Expanded coverage of essential math, including integral equations, calculus of variations, tensor analysis, and special integrals Math Refresher for Scientists and Engineers, Third Edition is specifically designed as a self-study guide to help busy professionals and students in science and engineering quickly refresh and improve the math skills needed... more...
The International Mathematical Olympiad (IMO) is a prestigious competition for high-school students interested in mathematics. It offers high school students a chance to measure up with students from the rest of the world. This book contains problems and solutions that appeared on the IMO over the years. It presents a grand total of 1900 problems. more...
The International Mathematical Olympiad (IMO) is a competition for high school students. China has taken part in IMO twenty times since 1985 and has won the top ranking for countries thirteen times, with a multitude of golds for individual students. The 6 students China sent every year were selected from 20 to 30 students among approximately 130 students... more...
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DVD Course
The Canon Press Introductory Logic DVD Course is taught by James Nance. Completely revised and expanded, this course teaches the fundamentals of thinking well. Learning logic will help your student to excel in their studies of subjects such as math, science, rhetoric, and the humanities.
This course is a thorough introduction to logic and serves as both a self-contained course and a preparatory course for more advanced studies.
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Multiplication Rule (Probability "and") The instructor, while using computer software, discusses the multiplication rule in probability. The instructor talks a little fast, so this video will be more helpful if a classroom teacher supplements this information with prior discussion. (03:24) Author(s): No creator set
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Professor Matthew Cook - Profile Professor Matthew Cook is the group leader of the program in immunology at John Curtin School of Medical Research as well as director of immunology at the Canberra Hospital.
Matthew divides his time between ANU working in the lab and the Canberra Hospital working with patients with autoimmune disease. Matthew is interested in reducing mortality by a better understanding of disease. Author(s): No creator set
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Review 2 - Computer Science 61A Fall 2007 Review 2. From CS 61A The Structure and Interpretation of Computer Programs - Fall 2007. Introduction to programming and computer science. This course exposes students to techniques of abstraction at several levels: (a) within a programming language, using higher-order functions, manifest types, data-directed programming, and message-passing; (b) between programming languages, using functional and rule-based languages as examples. It also relates these techniques to the practical problems of imp Author(s): No creator set
Historicizing Sex and SexualityEmbodied Lives - Performance and Precedent in Past SocietiesHybrid Systems 1StateLinearity IHybrid Systems Frequency domain models for signals and frequency response for systems, Author(s): No creator set
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ResponsesActive Matter with Biological Molecules I This is
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Review - Structure and Interpretation of Signals and Systems Babak Ayazifar
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Find a Jersey Vlg, TX CalLinear Algebra is the study of matrices and their properties. The applications for linear algebra are far reaching whether you want to continue studying advanced algebra or computer science. I studied logic, as math major, both in the context of my courses requiring proofs, as well as a separat...
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Popular Articles
Grades 7-8 Mean, Median, And Mode, Rich Miller Iii
Math
This lesson is a math lesson for seventh and eighth grade students on mean, medium, and mode. Through this lesson students will be able to understand the measures of central tendency and their definitions, how to calculate them and what steps are involved, and how the theories can be applied on real life. In this lesson, students are tiered by ability and are able to pick a project based off of their interest and the math concept they are working on. Each activity has a tiered task card to guide the students.
Active Calculus, Matthew Boelkins, David Austin, Steven Schlicker
Open Education Materials
Active Calculus is different from most existing calculus texts in at least the following ways: the text is free for download by students and instructors in .pdf format; in the electronic format, graphics are in full color and there are live html links to java applets; the text is open source, and interested instructors can gain access to the original source files upon request; the style of the text requires students to be active learners — there are very few worked examples in the text, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems ...
Books and Monographs
Calculating The Time Constant Of An Rc Circuit, Sean Dunford
Undergraduate Journal of Mathematical Modeling: One + Two
In this experiment, a capacitor was charged to its full capacitance then discharged through a resistor. By timing how long it took the capacitor to fully discharge through the resistor, we can determine the RC time constant using calculus.
Honors Scholar Theses
Differential equations are equations that involve an unknown function and derivatives. Euler's method are efficient methods to yield fairly accurate approximations of the actual solutions. By manipulating such methods, one can find ways to provide good approximations compared to the exact solution of parabolic partial differential equations and nonlinear parabolic differential equations.
Introduction To Real Analysis, William F. Trench
Books and Monographs
Using a clear and informal approach, this book introduces readers to a rigorous understanding of mathematical analysis and presents challenging math concepts as clearly as possible. This book is intended for those who want to gain an understanding of mathematical analysis and challenging mathematical concepts.
A Math 8 Unit In Scientific Notation Aligned To The New York State Common Core And Learning Standards, Jessica K. Griffin
Education and Human Development Master's Theses
In response to the implementation of new Common Core State Standards (CCSS), this curriculum project was designed to help teachers in the transition to the new standards. The curriculum project will be referred to as a unit plan throughout the paper. The unit plan on Scientific Notation, for the eighth grade mathematics curriculum, is aligned to the New York State Common Core and Learning Standards for Mathematics (NYSCCLSM). The unit plan addresses mathematical modeling, Mathematical Practice Standard 4. The unit plan may provide a way in which teachers can work towards the Common Core State Standards Initiative's goal to ...
Raphael's School Of Athens: A Theorem In A Painting?, Robert Haas
Journal of Humanistic Mathematics
Raphael's famous painting The School of Athens includes a geometer, presumably Euclid himself, demonstrating a construction to his fascinated students. But what theorem are they all studying? This article first introduces the painting, and describes Raphael's lifelong friendship with the eminent mathematician Paulus of Middelburg. It then presents several conjectured explanations, notably a theorem about a hexagram (Fichtner), or alternatively that the construction may be architecturally symbolic (Valtieri). The author finally offers his own "null hypothesis": that the scene does not show any actual mathematics, but simply the fascination, excitement, and joy of mathematicians at their work.
Mathematics Faculty Publications and Presentations
We give the Castelnuovo–Mumford regularity of arrangements of (n−2)-planes in Pn whose incidence graph is a sufficiently large complete bipartite graph, and determine when such arrangements are arithmetically Cohen–Macaulay.
Mathematics Faculty Publications
We define a free holomorphic function to be a function that is locally, with respect to the free topology, a bounded nc-function. We prove that free holomorphic functions are the functions that are locally uniformly approximable by free polynomials. We prove a realization formula and an Oka-Weil theorem for free analytic functions.
Real Linear Maps Preserving Some Complex Subspaces, Adam Coffman
Mathematical Sciences Faculty Publications
We find configurations of subspaces of a complex vector space such that any real linear map with sufficiently high rank that maps the subspaces into complex subspaces of the same dimension must be complex linear or antilinear.
Professional Learning Day
Delve into the exciting world of math through games, puzzles and other sources! Participants shall try their luck and test their skill at these diversions. Participants will leave this session with a wealth of mathematical activities appropriate for students of all ages.
Session B-1: Pipelines And Oil Spills!, Patrick Young
Professional Learning Day
Don't miss this hands-on approach to middle school math. Participants will construct an actual pipeline from inexpensive materials and record evidence of leakage. They will then conduct an experiment and create a model relating liquid volume and spill area. They will apply their model to determine how much liquid leaked from their pipeline.
Professional Learning Day
The common core practice standards ask us to teach students to propose mathematical models and test their viability. Participants will do an experiment, collect data and use technological tools to combine modeling, analysis and basic statistics. Participants should bring a laptop, if possible; otherwise, bring a graphing calculator.
Professional Learning Day
This session will focus on implementing Common Core Middle-School Mathematics Standards using student-centered activities. Participants will receive three hands-on activities (one each at grades six, seven, and eight) to take back to their classrooms.
Tutorials on... in 1 hour or less
Complex simple Lie algebras are classified by their root types. The type of a real simple Lie algebra is the root type of the associated complex algebra. The character of a real simple Lie algebra is the signature of its Killing form.
For many root types, the character is sufficient to uniquely classify the corresponding real Lie algebras. However, one should not take this statement to be literally true – there are a few cases where the character does not suffice to distinguish all possible real forms.
In this worksheet we will show that the 2 real non-isomorphic Lie algebras so that appear in the original system of equations remain. An explicit example of a Lagrangian for a system not satisfying Helmholtz conditions is given.
Books and Monographs
This book is written for students who have taken calculus and want to learn what "real mathematics" is. We hope you will find the material engaging and interesting, and that you will be encouraged to learn more advanced mathematics.
This is the second edition of our text. It is intended for students who have taken a calculus course, and are interested in learning what higher mathematics is all about. It can be used as a textbook for an "Introduction to Proofs" course, or for self-study.
Prisoner's Dilemma, Raymond N. Greenwell
Journal of Humanistic Mathematics
Abscissas And Ordinates, David Pierce
Journal of Humanistic Mathematics
In the manner of Apollonius of Perga, but hardly any modern book, we investigate conic sections as such. We thus discover why Apollonius calls a conic section a parabola, an hyperbola, or an ellipse; and we discover the meanings of the terms abscissa and ordinate. In an education that is liberating and not simply indoctrinating, the student of mathematics will learn these things.
The Symbolic And Mathematical Influence Of Diophantus's Arithmetica, Cyrus Hettle
Journal of Humanistic Mathematics
Though it was written in Greek in a center of ancient Greek learning, Diophantus's Arithmetica is a curious synthesis of Greek, Egyptian, and Mesopotamian mathematics. It was not only one of the first purely number-theoretic and algebraic texts, but the first to use the blend of rhetorical and symbolic exposition known as syncopated mathematics. The text was influential in the development of Arabic algebra and European number theory and notation, and its development of the theory of indeterminate, or Diophantine, equations inspired modern work in both abstract algebra and computer science. We present, in this article, a selection of ...
Journal of Humanistic Mathematics
In this note, we present a compatibility test with a rigorous mathematical foundation in game theory. The test must be taken separately by both partners, making it difficult for either partner alone to control the outcome. To introduce basic notions of game theory we investigate a scene from the film "A Beautiful Mind" based on John Nash's life and Nobel-prize-winning theorem. We recall this result and reveal the mathematics behind our test. Readers may customize and modify the test for more accurate results or to evaluate interpersonal relationships in other settings, not only romantic. Finally, we apply Dyson's ...
On The Persistence And Attrition Of Women In Mathematics, Katrina Piatek-Jimenez
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The purpose of this study was to investigate what motivates women to choose mathematics as an undergraduate major and to further explore what shapes their future career goals, paying particular attention to their undergraduate experiences and their perceptions of the role of gender in these decisions. A series of semi-structured, individual interviews were conducted with twelve undergraduate women mathematics majors who were attending either a large public university or a small liberal arts college. This study found that strong mathematical identities and enjoyment of mathematics heavily influenced their decisions to major in mathematics. At the career selection stage, these women ...
Electronic Journal of Linear Algebra
A loop graph $\mf G$ is a finite undirected graph that allows loops but does not allow multiple edges. The set $\sym(\lG)$ of real symmetric matrices associated with a loop graph $\lG$ of order $n$ is the set of symmetric matrices $A=[a_{ij}]\in\Rnn$ such that $a_{ij}\ne 0$ if and only if $ij\in E(\lG)$. The minimum (maximum) rank of a loop graph is the minimum (maximum) of the ranks of the matrices in $\sym(\lG)$. We characterize loop graphs having minimum rank at most two (by forbidden induced subgraphs and graph complements) and ...
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books.google.com - This... with Algorithms
This original and scientifically profound, contributions to the area.
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When it comes to learning linear algebra, engineers trust Anton. The tenth edition presents the key concepts and topics along with engaging and contemporary applications. The chapters have been reorganized to bring up some of the more abstract topics and make the material more accessible. More theoretical exercises at all levels of difficulty are integrated throughout the pages, including true/false questions that address conceptual ideas. New marginal notes provide a fuller explanation when new methods and complex logical steps are included in proofs. Small-scale applications also show how concepts are applied to help engineers develop their mathematical reasoning.
Customer Book Reviews
Book Summary: The title of this book is Elementary Linear Algebra, Textbook and Student Solutions Manual and it was written by Howard Anton. This particular edition is in a Hardcover format. This books publish date is Nov 09, 2010. It was published by John Wiley & Sons and has a total of 568 pages in the book. The 10 digit ISBN is 1118024699 and the 13 digit ISBN is 9781118024690. To buy this book at the lowest price, Click Here.
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Using History to Teach Mathematics An International Perspective
9780883851630
ISBN:
0883851636
Pub Date: 2000 Publisher: Mathematical Association of America
Summary: This is a volume of articles that provides insight, both in particular cases and in generality, into how the history of mathematics can find application in the teaching of mathematics itself. Educators at all levels, and mathematicians interested in the history of their subject, will find much of interest here.
Katz, Victor J. is the author of Using History to Teach Mathematics An International Perspective, ...published 2000 under ISBN 9780883851630 and 0883851636. Two hundred four Using History to Teach Mathematics An International Perspective textbooks are available for sale on ValoreBooks.com, fifty four used from the cheapest price of $3.40, or buy new starting at $37.00 This book is a collection of articles by in... [more] [less]
Brand new. We distribute directly for the publisher. This book is a collection of articles by international specialists in the history of mathematics and its use in teaching, [more]
[less]
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Combinatorics of Finite Sets (Dover Books on Mathematics)
by Ian Anderson Publisher Comments
Co... (read more)
Foundations of Mathematics in the Theory of Sets
by John P. Mayberry Publisher Comments
This unified approach to the foundations of mathematics in the theory of sets covers both conventional and finitary (constructive) mathematics. It is based on a philosophical, historical and mathematical analysis of the relation between the concepts of... (read more)
Design Considerations of Time in Fuzzy Systems
by Jernej Virant Publisher Comments
This book is outstanding for several reasons: it observes the role of time in fuzzy proposition calculations, provides calculation error analysis for small density of inference processing and gives numerous examples of fuzzy sets and systems programming... (read more)
An Introduction to Mathematical Reasoning
by Peter Eccles Publisher Comments
This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathematics. The author achieves this by exploring set theory, combinatorics, and number theory, topics that... (read more)
The Banach-Tarski Paradox
by Stan Wagon Publisher Comments
This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, and logic. It unifies the results of contemporary research on the paradox and presents several new results including some unusual... (read more)
Selectors
by John E. Jayne Publisher Comments
Though the search for good selectors dates back to the early twentieth century, selectors play an increasingly important role in current research. This book is the first to assemble the scattered literature into a coherent and elegant presentation of... (read more)
Set Theory: An Introduction
by R. I. Vaught Publisher Comments
An excellent undergraduate text on set theory that could be used in courses taught in mathematics and philosophy departments. The intuitive development in the first chapters also makes the book suitable for self study.... (read more)
Outline of Set Theory
by James M. Henle Publisher Comments
This book is an innovative problem-oriented introduction to undergraduate set theory. It is intended to be used in a course in which the students work in groups on projects and present their solutions to the class. Students completing such a course come... (read more)
Set Theory for the Working Mathematician
by Krzysztof Ciesielski Publisher Comments
This text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics. The author describes numerous applications in abstract geometry and real analysis and, in some cases, in topology and algebra. The book... (read more)
Axiomatic Set Theory (72 Edition)
by Patrick Suppes Publisher Comments
This clear and well-developed approach to axiomatic set theory is geared toward upper-level undergraduates and graduate students. It examines the basic paradoxes and history of set theory and advanced topics such as relations and functions... (read more)
Introduction to the Theory of Sets
by Joseph Breuer Publisher Comments
Set theory permeates much of contemporary mathematical thought. This text for undergraduates offers a natural introduction, developing the subject through observations of the physical world. Its progressive development leads from concrete finite sets to... (read more)
Reality of Numbers: A Physicalist's Philosophy of Mathematics
by John Bigelow Publisher Comments
Challenging the myth that mathematical objects can be defined into existence, Bigelow here employs Armstrong's metaphysical materialism to cast new light on mathematics. He identifies natural, real, and imaginary numbers and sets with specified physical
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The Balance Sheet on Requiring Advanced Math
Network News
Referring to your Oct. 30 column ["In the Real World, Advanced Math Doesn't Always Add Up"], you might not use the specific tools of mathematics every day, but where else in your academic career do you learn how to solve the general problems that are part of life? It's not all in the numbers. Mathematics teaches tools and techniques that carry over into solving non-quantitative problems. Math students learn to read and understand problems and break them into identifiable parts. They can organize and use their experience and skills as tools to address their problems. They develop concentration and persistence and find the satisfaction of being accurate and correct. Surely these lessons learned via mathematics are important to all of us and worth the emphasis in our schools.
Bill Bishop
Laurel
Dear Extra Credit:
When I was in public school in Minnesota in 1988, in addition to having to walk through three feet of snow, we got our first exposure to algebra in the sixth grade. I remember thinking it was simple, but I could not find any value in it. I was probably too young to appreciate its many applications. In light of this, I see no reason to find something other than algebra to teach eighth-graders who struggle with math. How long do we need to keep teaching them basic arithmetic, which is algebra's only prerequisite?
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Elementary Linear Algebra
9780132296540
ISBN:
0132296543
Edition: 9 Pub Date: 2007 Publisher: Prentice Hall
Summary: This text presents the basic ideas of linear algebra in a manner that offers students a fine balance between abstraction/theory and computational skills. The emphasis is on not just teaching how to read a proof but also on how to write a proof.
Kolman, Bernard is the author of Elementary Linear Algebra, published 2007 under ISBN 9780132296540 and 0132296543. Four hundred forty one Elementary Linear Algebra ...textbooks are available for sale on ValoreBooks.com, eighty three used from the cheapest price of $95.55, or buy new starting at $1562296540-4-0-3 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:97801322965
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Universal Math Solver software will solve and explain step-by-step problems of any complexity from such areas of mathematics as: arithmetic; basic math; pre-algebra; algebra 1; algebra 2; college algebra; matrix algebra; pre-calculus, calculus; college calculus, trigonometry. UMS will solve and explain step-by-step (both verbally and in written form) any math problem - either taken from a textbook or composed by the user. UMS is the most powerful step-by-step math software available. UMS is unique because unlike other similar programs, UMS software can solve algebra and calculus problem of any complexity in every topic it covers. The program requires an internet connection. This demo version solves problems from the UMS main collection. Payment required to solve user defined problems. Try our Free Universal Algebra Equation Solver to solve user defined equations.
What's new in this version:
Version 10.0.2.9 added functionality to copy problems from any text
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Advanced Geometry Appendix C
All professional education content courses leading to certification shall include teaching and assessment ofthe Wisconsin Content Standards in the content area.
In this column, list the Wisconsin Content Standards that are included in this course. The Standards for each content area are found in the Wisconsin Content Standards document.
In this column, indicate the nature of the performance assessments used in this course to evaluate student proficiency in each standard.
The structures within the discipline, the historical roots and evolving nature of mathematics, and the interaction between technology and the discipline.
Students will do homework problems and group projects involving the use of the computer for geometric construction, the use of Geometers' Sketchpad software.
Facilitating the building of student conceptual and procedural understanding.
Students use computer software including computer animation to enhance geometric intuition. Homework and projects are used to assess this.
Helping all students build understanding of the discipline including:
. Confidence in their abilities to utilize mathematical knowledge.
. Awareness of the usefulness of mathematics.
. The economic implications of fine mathematical preparation.
Students working in groups and using cooperative/discovery based learning techniques will produce written results on the theory of similarity of quadrilaterals based upon triangle similarity.
Exploring, conjecturing, examining and testing all aspects of problem solving.
The written results produced by students together with examination questions on quadrilateral similarity theory, geometric constructions and projective geometry will assess students' problem-solving skills.
Student's homework on geometric constructions will assess their ability to pose mathematical problems, use multiple strategies and evaluate results. Effective use of problem-solving techniques are assessed in homework and exam questions.
This course tests all these abilities through appropriate exam questions, group projects, and homework problems.
Expressing ideas orally, in writing, and visually-, using mathematical language, notation, and symbolism; translating mathematical ideas between and among contexts.
This course requires students to use mathematical language, notation, symbolism and translation in exams, homework and projects.
Connecting the concepts and procedures of mathematics, drawing connections between mathematical strands, between mathematics and other disciplines, and with daily life.
Individual's homework and group projects allow students to show they understand the concepts and procedures used in geometric constructions, similarity theory, and projective geometry.
Selecting appropriate representations to facilitate mathematical problem solving and translating between and among representations to explicate problem-solving situations.
Students draw diagrams of geometric structures in order to guide problem solving and proofs for homework, projects, and exams
Mathematical processes including:
. Problem solving.
. Communication.
. Reasoning and formal and informal argument.
. Mathematical connections.
. Representations.
. Technology.
To pass the exams in this course, students must be successful at problem solving, communication, and reasoning both at formal and informal levels. Students use Geometer's Sketchpad software in solving some homework problems. Group projects and an individual's projects are used to assess students ability to give formal and informal arguments.
Number operations and relationships from both abstract and concrete perspectives identifying real world applications, and representing and connecting mathematical concepts and procedures including:
. Number sense.
. Set theory.
. Number and operation.
. Composition and decomposition of numbers, including place value, primes, factors, multiples, inverses, and the extension of these concepts throughout mathematics.
. Number systems through the real numbers, their properties and relations.
. Computational procedures.
. Proportional reasoning.
. Number theory.
NA to this course.
Mathematical concepts and procedures, and the connections among them for teaching upper level number operations and relationships including:
. Advanced counting procedures, including union and intersection of sets, and parenthetical operations.
. Algebraic and transcendental numbers.
. The complex number system, including polar coordinates.
. Approximation techniques as a basis for numerical integration, fractals, and numerical-based proofs.
. Situations in which numerical arguments presented in a variety of classroom and real-world situations (e.g., political, economic, scientific, social) can be created and critically evaluated.
. Opportunities in which acceptable limits of error can be assessed (e.g., evaluating strategies, testing the reasonableness of results, and using technology to carry out computations).
NA to this course.
Geometry and measurement from both abstract and concrete perspectives and to identify real world applications, and mathematical concepts, procedures and connections among them including:
. Formal and informal argument.
. Names, properties, and relationships of two- and three-dimensional shapes.
. Spatial sense.
. Spatial reasoning and the use of geometric models to represent, visualize, and solve problems.
. Transformations and the ways in which rotation, reflection, and translation of shapes can illustrate concepts, properties, and relationships.
. Coordinate geometry systems including relations between coordinate and synthetic geometry, and generalizing geometric principles from a two-dimensional system to a three-dimensional system.
. Concepts of measurement, including measurable attributes, standard and non-standard units, precision and accuracy, and use of appropriate tools.
. The structure of systems of measurement, including the development and use of measurement systems and the relationships among different systems. Measurement including length, area, volume, size of angles, weight and mass, time, temperature, and money.
. Measuring, estimating, and using measurement to describe and compare geometric phenomena.
. Indirect measurement and its uses, including developing formulas and procedures for determining measure to solve problems.
Students present formal and informal arguments involving quadrilateral similarity theory and geometric constructions in their homework and in answering examination questions. Three dimensional transformations are studied extensively and understanding is assessed in exams and homework.
Mathematical concepts, procedures, and the connections among them for teaching upper level geometry and measurement including:
. Transformations, coordinates, and vectors and their use in problem solving. Three-dimensional geometry and its generalization to other dimensions. Topology, including topological properties and transformations.
. Opportunities to present convincing arguments by means of demonstration, informal proof, counter-examples, or other logical means to show the truth of statements and/or generalizations.
Students are assessed using exams questions, and homework on their understanding of projective geometry. Three-dimensional geometric transformations concepts are tested on exams, homework and projects. Students are required to give informal proofs, and counter-examples as part of their answers on exams, in their solutions to homework problems and in their projects.
Statistics and probability from both abstract and concrete perspectives and to identify real world applications, and the mathematical concepts, procedures and the connections between them including:
. Use of data to explore real-world issues.
. The process of investigation including formulation of a problem, designing a data collection plan, and collecting, recording, and organizing data.
. Probability as a way to describe chances or risk in simple and compound events.
. Outcome prediction based on experimentation or theoretical probabilities.
NA to this course.
Mathematical concepts, procedures, and the connections among them for teaching upper level statistics and probability including:
. Use of the random variable in the generation and interpretation of probability distributions.
. Descriptive and inferential statistics, measures of disbursement, including validity and reliability, and correlation.
. Probability theory and its link to inferential statistics.
. Discrete and continuous probability distributions as bases for inference.
. Situations in which students can analyze, evaluate, and critique the methods and conclusions of statistical experiments reported in journals, magazines, news media, advertising, etc.
NA to this course.
Functions, algebra, and basic concepts underlying calculus from both abstract and concrete perspectives and to identify real world applications, and the mathematical concepts, procedures and the connections among them including:
. Patterns.
. Functions as used to describe relations and to model real world situations.
. Representations of situations that involve variable quantities with expressions, equations and inequalities and that include algebraic and geometric relationships.
. Multiple representations of relations, the strengths and limitations of each representation, and conversion from one representation to another.
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I am interested in any opinions you have on Prentice Hall Interactive Mathematics. Are you using it, why did you choose that over other programs that are available (like Academic Systems), or any other information you think would be useful.
| 677.169 | 1 |
Saxon Advanced Math 2nd Edition Homeschool Kit with Solutions Manual
Product Details
Prepare your students for future success in calculus, chemistry, physics, and social sciences with Saxon Advanced Mathematics. The 125 incremental lessons provide in-depth coverage of trigonometry, logarithms, analytic geometry, and upper-level algebraic concepts. Includes continued practice of intermediate algebraic concepts and trigonometry introduced in Algebra 2 and features new lessons on functions, matrices, statistics, and the graphing calculator.
Solutions Manual: Solutions to all textbook practices and problem sets. Early solutions contain every step, while later solutions omit obvious steps. Final answers are in bold type for accurate, efficient grading.
Provide students with a college-prep math course that will give them the foundation they need to successfully move into higher levels of math. Saxon Algebra 1, 4th Edition covers all of the traditional first-year algebra topics while helping students build higher-order thinking skills, real-world...
This Saxon Algebra 2 Home Study Kit includes the Student Textbook, Test Book/Answer Key Packet, and Solutions Manual. Traditional second-year algebra topics, as well as a full semester of informal geometry, are included with both real-world, abstract and interdisciplinary applications. 129 lessons...
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Creating a Household Budgetpart of Examples Spreadsheets Across the Curriculum module. Students track their expenses and use Excel to compare them to Seattle/Tacoma averages. Developed for adult students taking English as a Second Language.
Subject: Mathematics, Economics
The Manning Equationpart of Examples Spreadsheets Across the Curriculum Module. Students build spreadsheets to estimate discharge for a culvert using the Manning equation, and to estimate culvert size, given a specified discharge.
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What do you mean by math book study links? Could you please provide more details? Depends on what kind and which textbook you are talking about, there are some sites available for specific textbooks. Or unless you just want a general guide? Here are a few possible sites that you might want to look ...
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Elementary Linear Algebra - 4th edition
The text starts off using vectors and the geometric approach, plus, it features a computational emphasis. The combination helps students grasp the concepts. At the same time, it provides a challenge for mathematics majors.
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Through previous computer graphics used to display concepts and problem sets, incorporating the use of leading software packages. Computational assistance, exercises and projects have been included to encourage students to make use of these computational tools. The content is organized into eight parts and covers a wide spectrum of topics including Ordinary Differential Equations, Vectors and Linear Algebra, Systems of Differential Equations and Qualitative Methods, Vector Analysis, Fourier Analysis, Orthogonal Expansions, and Wavelets, Partial Differential Equations, Complex Analysis, and Probability and StatisticsV-Faster-Books via India
Softcover, ISBN 0534552080 Publisher: CL-Engineering, 2006 0534552080 Brand New.International Edition.SoftCover. Guaranteed Super Fast Delivery. Same Contents as US Editions. ISBN and Cover might be different in some cases. Please allow 4-14 days to arrive. Great Customer Service.We Are Ship Worldwide.
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Parents banish math phobia once and for all by facing math head-on in Math for Moms and Dads. Frequently, the issue isn't "how to," it's actually "what do they want me to do?" Learning the language of math in context is the first step in the right direction for helping yourself in today's math morass so parents can help their child find his or her way out of any math quagmire.
Using a similar methodology applied in SAT Score-Raising Math Dictionary, Kaplan now focuses on the parent in this no-nonsense guide to the lexicon of math. Math terminology and key concepts are defined and decoded into regular, everyday language to promote authentic understanding of what's at the heart of any math problem.
Other helpful elements are sample problems (with answers, so parents won't sweat it!) broken down step-by-step; calculator tips so parents can troubleshoot technology-related concerns facing their kids; visual representations of math for visual learners; and National Council of Teachers of Mathematics standards so parents can plan for what their children are responsible for in the upcoming grade and get the help they may need in the appropriate time frame. Finally, a handy timeline detailing which ages/grades kids need to know and master certain math skills helps parents understand the overall math snapshot for the middle school and high school years ahead.
Parents (and then students) learn how to kick word problems to the curb once they figure out how to simplify the language of math with Math for Moms and Dads' easy-to-follow lexicon and resource guide!
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Meet the Author
Kaplan Publishing is one of the nation's leading publishers of academic and professional development resources. We produce more than 150 new titles annually, on topics such as test preparation, college and graduate school admissions, academic and career development in the legal, medical, education, and general business fields. Kaplan Publishing is the number one provider of test prep materials for a variety of standard tests, including GRE, GMAT, LSAT, PSAT, MCAT, TOEFL
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A First Course in Complex Analysis
The Student Study Guide consists of seven chapters which correspond to the seven chapters of A First Course in Complex Analysis with Applications, Second Edition. Each chapter includes: Review Topics, Summaries, Exercises, and Focus on Concepts Problems. Solutions to odd exercises are included.
A First Course in Fuzzy Logic, Third Edition continues to provide the ideal introduction to the theory and applications of fuzzy logic. This best-selling text provides a firm mathematical basis for ...
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Is Parallel Programming Hard? If So, What Can You Do About It? Find out here.
Title Mathematical Omnibus: Thirty Lectures on Classic Mathematics
Author(s) Dmitry Fuchs, Serge Tabachnikovs
Publisher: American Mathematical Society (October 10, 2007)
Hardcover 464 pages
eBook PDF (465 pages, 10.5 MB)
Language: English
ISBN-10/ASIN: 0821843168
ISBN-13: 978-0821843161
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Book Description
This is an enjoyable book with suggested uses ranging from a text for a undergraduate Honors Mathematics Seminar to a coffee table book. It is appropriate for either It could also be used as a starting point for undergraduate research topics or a place to find a short undergraduate seminar talk. This is a wonderful book that is not only fun to read, but gives the reader new ideas to think about.
The book consists of thirty lectures on diverse topics, covering much of the mathematical landscape rather than focusing on one area. The reader will learn numerous results that often belong to neither the standard undergraduate nor graduate curriculum and will discover connections between classical and contemporary ideas in algebra, combinatorics, geometry, and topology. The reader's effort will be rewarded in seeing the harmony of each subject.
The common thread in the selected subjects is their illustration of the unity and beauty of mathematics. Most lectures contain exercises, and solutions or answers are given to selected exercises. A special feature of the book is an abundance of drawings (more than four hundred), artwork by an award-winning artist, and about a hundred portraits of mathematicians. Almost every lecture contains surprises for even the seasoned researcher.
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This eBook introduces the topics of areas triangles, parallelograms, trapeziums and circles as well as sectors of circles, nets of regular shapes, the surface area of spheres, cones and cylinders, plan and elevation projections as well as isometric projections and volumes of regular solids.
This eBook introduces the topic of polygons, tessellations and symmetry, through a review of what polygons are, a review of angles within polygons, a review of what tessellation of 2D planar shapes is, and the various forms of symmetry that exist with regard to 2D planar shapes and 3D solids.
This eBook introduces quadratic graphs and equations, from exploring the characteristics of quadratic graphs, to considering the standard form of the quadratic equation, factorising the quadratic and completing the square.
This eBook introduces the topic of inequalities, the meaning of the inequality symbols, how to rearrange and solve inequalities as well as the use of inequalities and number lines and the use of inequalities in graphs.
This eBook introduces the process of solving equations and rearranging formulas using elementary algebraic manipulation. We use examples that illustrate the process of solving an equation as well as the process of rearranging an equation, as well as set a number of challenging questions.
This eBook introduces the subjects of rounding numbers, accuracy and bounds as well as estimation and checking as they are closely linked. In this eBook we describe each of these concepts using knowledge of the suitability of our approach and a descriptive narrative.
Armour can make a hero of even the most modest soul.
13 year old Linus' boring life is changed forever when he wakes from an accident to find he is sharing his body with a sentient swarm of tiny machines.
Armoured is a witty, comic styled, coming of age adventure set against the picturesque backdrop of Australia's North Queensland coastAs soon as Jackie Cruise lands on the streets after being in prison for five years, someone is taking shots at him. Hoping to find out who wants him dead, he hooks up with some old pals in the Family and goes to work as a low-level thug. Making ends meet by dealing out mayhem, can Jackie survive long enough to find his would-be killer?
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If you want to be amazed, try conducting a semantic search on a math or science topicThe micro Mathematics is a powerful calculation software for your smartphone or tablet. It is primarily intended for the verification, validation, documentation and re-use of mathematical calculations.
This app is the world's first mathematical calculator on Android oriented around a spreadsheet that allows live editing of mathematical identities combined with highly accurate computations. Using a powerful touch-screen editor you can create and manipulate naturally readable interactive documents containing all basic mathematical notations. The document can include not only formulas and plots, but also arbitrary text and images (SVG vector format is also supported).
The app contains one worksheet that can be freely edited, several pages with examples and a documentation page. The worksheet can be stored on SD card and exported into LaTeX document or an image (SD writing permission is needed).
The micro Mathematics supports school-level of mathematical calculations only. This version does not support complex numbers, functions of many arguments, special functions, vectors, matrices, integration, differentiation and many other things from high-level mathematicsMaster the 1000 most important GRE words with the highest-rated free flashcards for your Android phone. Practice every day to improve your vocab knowledge. Study to rectify your benightedness and prepare to trounce the GRE verbal section!
This app gives you free access to all of Magoosh's GRE flash cards. Sign in with a Magoosh account (or create a new one) to save your progress to the web. You can continue your practice online at
Written by GRE experts The entire GRE wordlist is selected and defined with usage examples by Magoosh's expert GRE tutors, led by Chris Lele. He has been teaching the GRE The GRE word list is also culled to only 1000 GRE through videos and personalized customer support.
In addition to our online course, we blog about GRE words, roots, formulas, grammar, problem solving, quantitative reasoning, and reading comprehension along with GRE study guides and study tips. Articles from the blog have been compiled into 3 separate free ebooks with over 6,000 downloads. Check it out at
More GRE study tools Search the app store for "magoosh gre" to continue your prep for the Revised GRE Exam with Magoosh's video lessons app. Learn all the math, verbal, and writing you need to know for the test!
When you're ready to practice for the full Revised GRE exam, Magoosh's website has more than 700 excellent GRE Math and GRE GMAT. Search the store for "magoosh english" or "magoosh gmat" to find themEnter a comma-separated list of key phrases into the top search bar and a set of formulae schemata (written in LaTeX with ?a, ?b, ... for query variables). A formula schema in a query matches any formula in the MWS index that has an instance schema as a subformula. Query variables with the same name must be instantiated with the same formula, see the examples for inspiration.
Our problems are created by people all over the world, including olympiad champions and university professors. Learn from others how to solve problems by engaging in a vibrant community of students, educators, and enthusiasts.
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Brilliant requires Android version 4.0+.
Send feedback to [email protected] Use Brilliant on the web at
MathAns is android application for scientific and education goals. This application gives the ability to make own interactive formulas handbook in your mobile android devices. You can add formulas, find additional information and quickly remember need thinks with MathAns. User can find many standard thinks in MathAns application. There are most general mathematical formulas such as Table of Integrals, Derivatives, Rows, Trigonometry, Probabilities and others. Using these, you can find solution for various standard mathematical problems. We hope that our application helps students which study mathematical disciplines. Also they can use it as mobile tip during their examines. Pupils of secondary school can understand how to structuring his mathematical knowledge. MathAns can help them in this and will make mathematical world most interesting and amazing, open new possibility to use devices with android system for education and problem solution. This application will be interesting for scientists which work needs analyzing greatest data resources. They can find necessary formulas in MathAns on their mobile devices and use it in scientific calculations. It is often when we try to find needed formulas in books or WEB. MathAns can save your time. With our application you can find formula in any place and any time.
Piazza is the leading social learning platform in education, used by tens of thousands of instructors to efficiently answer students' questions. Piazza engages students and promotes answering classmates' questions in a private, secure, centralized location. Students love Piazza because they get faster answers to their questions. Instructors love Piazza because it saves them time, while giving deeper insights.Complex Numbers is a calculator for mathmatical problems involving the field of complex numbers. It's designed to help students and engineers find reliable answers quickly and point them in the right direction, if they wish to dive deeper into the math behind the calculations speaks identifiedancel individuals smartphone third
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2009 Paperback Good 025ARE YOU READY TO TEACH IN TEXAS?
THEN USE THE MOST COMPREHENSIVE GUIDE ON THE MARKET TODAY.
TExES Mathematics Grades 8-12 (135)
The Most Complete Subject Review Everything you need to know for the TExES Mathematics Grades 8-12 (135) exam, prepared by a leading mathematics specialist. Comprehensive review chapters cover all the subjects and skills tested on the exam. Examples in each chapter reinforce knowledge as you study.
The Best Practice Exams Available 2 full-length practice exams based on the official TExES 135 Mathematics Grades 8-12 test – balanced to include every topic and type of question you can expect on the actual TExES 135 Mathematics exam.
Total Explanations of Questions & Answers Each practice exam comes with detailed feedback on every question. We don't just say which answers are right – but explain why the others are wrong, so you'll be prepared on test day!
Proven Test Prep Methods REA's focused TExES Mathematics content and practical advice have helped millions succeed on their exams. With our step-by-step study plan, you can score high on the TExES and get certified to teach in Texas!
Federal Guidelines for NCLB Compliance You can expect that candidates with NCLB-compliant credentials will enjoy preferential status in hiring. In Texas, this means you need to pass the TExES assessments. Maximize your exam performance and master the TExES with the unrivaled certification expertise that only REA can offer.
Get the World's Most Advanced TExES Software REA's TExES Mathematics Grades 8-12 (135) TestWare combines a realistic test environment with the most powerful scoring analysis and diagnostic tools available. With every practice test you take, you'll gain knowledge and confidence for the real exam. Automatic scoring and instant reports help you zero in on the topics and types of questions that give you trouble now, so you'll succeed on the TExES!
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Meet the Author
About the Author Author Mel Friedman, M.S., is a former classroom teacher at the high school and university levels. He has also worked as a test-item writer for Educational Testing Service and ACT, Inc.
Contributing Authors Stephen Reiss, M.B.A., is the founder and owner of the Math Magician and the Reiss SAT Seminars. He also tutors students in the math portions of the SAT, SAT II and the ACT. Reiss serves as a consultant to San Diego area high schools, teaching his SAT seminars on campus.
Adel Arshaghi, M.S., has taught mathematics at both the high school and college level. He has been a frequent contributor to mathematics books.
Read an Excerpt
About This Book
REA's The Best Teachers' Test Preparation for the TExES 135 Mathematics 8-12 Test is a comprehensive guide designed to assist you in preparing to take this TExES test, the purpose of which is to ensure that you have the prerequisite content and professional knowledge necessary for an entry-level position in Texas public schools.
To help you to succeed in this important step toward your teaching career in Texas schools, this test guide features:
• An accurate and complete overview of the TExES 135 Mathematics 8-12 Test
• The information you need to know about the exam
• A targeted review of each domain
• Tips and strategies for successfully completing standardized tests
• Diagnostic tools to identify areas of strength and weakness
• Two full-length, true-to-format practice tests based on the most recently administered TExES 135
Mathematics 8-12 Test are included in two formats: in printed form in this book and in TestWare® format on the enclosed CD.
• Detailed explanations for each answer on the practice tests. These allow you to identify correct answers and understand not only why they are correct but also why the other answer choices are incorrect.
When creating this test prep, the authors and editors considered the most recent test administrations and professional standards. They also researched information from the Texas Department of Education, professional journals, textbooks, and educators. The result is the best TExES test preparation materials based on the latest information available.
About the TExES 135 Mathematics 8-12 Test
The purpose of the TExES 135 Mathematics 8-12 Test is to assess the knowledge and skills of prospective Texas teachers in the areas of mathematics. The Mathematics 8–12 test will contain 80 scorable multiple-choice items and approximately 10 nonscorable items. Your final scaled score will be based only on scorable items. The nonscorable multiple-choice items are included for the purpose of pilot-testing of proposed new questions. These pilot questions do not count toward your score. However, they are not identified on the test either.
There will be four answer choices for each multiple choice question. Answers will be marked on a separate answer sheet. A Definitions/Formula Page will be provided for you. If you wish to use a calculator you must bring your own to the test site. However, it is very important that you bring a calculator that is listed with the brands and models seen on the TExES registration bulletin.
The approved list of calculator brands and models could change. The test administration promises that you will be notified if such a change occurs. All of the calculators on the approved list are graphing calculators, which perform all the operations of typical scientific calculators.
As some test questions are designed to be solved with a graphing calculator, it makes good sense to bring a graphing calculator with you to the test site. However, you will not be allowed to share calculators. The testing staff will clear your calculator's memory both before and after the test.
Who Administers the Test?
The Texas Education Agency has contracted with Educational Testing Service (ETS) to assist in the
development and administration of the TExES.
For additional information you can contact:
ETS-Texas Educator Certification Program
PO Box 6001
Princeton, NJ 08541-6001
Telephone: 1-800-205-2626 (U.S., U.S. Territories, and Canada)
1-609-771-7393 (all other locations)
Hours: Monday-Friday 8:00 a.m.-5:00 p.m. Central time
Fax: 1-973-735-0156 or 1-866-484-5860
E-mail: [email protected]
Test Administration The TExES tests are administered six times during the testing year. Each test date has morning and afternoon test sessions. Each session is five hours long.
Do I Pay a Registration Fee?
To take the TExES, you must pay a registration fee. For information about the fee, log on to
How Is the TExES 135 Mathematics 8-12 Test Scored? Test results are reported as scaled scores in a range from 100 to 300. Your total scaled score shows how you performed on the test as a whole and whether you passed the test.
The scale score allows comparison among any version of the same test. The raw scores cannot be compared from one version of a test to another. You receive one point for each correct response and no points for each incorrect response. Most tests will also include nonscorable questions. Therefore the total number of questions reported on your score report is usually less than the total number of questions that you saw on the test. The nonscorable questions will not be used in the calculation of your score.
When Should I Start Studying?
It is never too early to start studying for the TExES 135 Mathematics 8-12 Test. The earlier you begin, the more time you will have to sharpen your skills. Do not procrastinate! Cramming is not an effective way to study because it does not allow you the time you need to think about the
content, review the domains, and take the practice tests.
What Do the Review Sections Cover? The targeted review in this book is designed to help you sharpen the mathematical skills you need to
approach the TExES 135 Mathematics 8-12 Test, as well as provide strategies for attacking the questions.
Each competency area included in the TExES 135 Mathematics 8-12 test is examined in a separate chapter. The skills required for all domains are extensively discussed to optimize your understanding of what the examination covers.
Your schooling has taught you most of the information you need to answer the questions on the test. The review sections in this book are designed to help you fit the information you have acquired into the domains and competencies specifi ed on the TExES. Going over your class notes and textbooks together with the reviews provided here will give you an excellent springboard for passing the examination
CHAPTER 10
DIFFERENTIAL AND INTEGRAL CALCULUS
Limits and Continuity of Functions
Continuity of Functions
Average Rate of Change
Instantaneous Rate of Change
Rules for Finding First Derivatives
Rules for Finding Second Derivatives
Applications of First and Second Derivatives to a Graph
Antiderivatives
Definite Integral
CHAPTER 11
MEASUREMENT IN GEOMETRY
Perimeters and Areas of Two-dimensional Figures
Three-dimensional Figures
Using Calculus for Areas between Curves and Arc Length
CHAPTER 12
AXIOMS, PROPERTIES, AND THEOREMS OF EUCLIDEAN GEOMETRY
Properties of Points, Line Segments, Rays, Angles, Planes, and Distances
Properties of Sides and Angles of Triangles
Theorems Concerning Congruent and Similar Triangles
Properties of Quadrilaterals
Similarity for Three-dimensional Figures
Geometric Constructions Using a Compass and a Straightedge
CHAPTER 13
APPLICATIONS OF EUCLIDEAN GEOMETRY TO CIRCLES
AND COMPOSITE FIGURES
Properties of Lines and Angles Related to Circles
Areas of Circles and Portions of Circles
Properties of Regular Polygons
Perimeters and Areas of Composite Figures
Cross-sections and Nets of Three-dimensional Figures
Geometric Constructions Related to Circles
CHAPTER 14
COORDINATE, TRANSFORMATIONAL, AND VECTOR GEOMETRY
Transformations and their Properties
Concepts and Properties of Slope, Midpoint, and Distance in the Coordinate Plane
Equations and Properties of Conic Sections Geometric Properties of Matrices and VectHistoryandMathTeacher
Posted June 1, 2011
A little over the top
I purchased this book one month before taking the test. I did a chapter a day (there are 20) and then the two practice test going over everything. It was freaking hard as heck. This book was really good at giving examples and if you are a self sufficient type, then understanding it will not be a problem for you. I took the test, passed on the first try. This book went above and beyond what was on the actual test. I felt overly ready which is better than not at all. I had not taken a math class for nearly 6 years when I began to read this book. Take your time, do not stress and all things will fall into place. I reccomend this book if you want to be prepared and then some.
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Anonymous
Posted July 9, 2010
Waste of Money
This book was ok. When I worked through page 8, I already noticed simple errors. The book was detailed in most part but the chapters may have needed better arrangements, to follow suit of build on information.
I emailed the publisher of the book about the mistakes, they emailed me back on a full page of corrections. I then found a few more errors, that they never got back to me on... not even to let me know if I was wrong.
The book went over the principle of caluclations,working the problems, but needed to spend extensive time on using the concepts to understand the problems yours may have when calculating.(ex. foiling (a+b)^2 does not equal a^2 +b^2)
I went completely through the book and did pass my Texes with a 250 on first try, but I think it was more luck and skills on my end than the book helping.
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Synopses & Reviews
Publisher Comments:
A one-volume, one-day algebra course.
Alpha Teach Yourself Algebra I in 24 Hours provides readers with a structured, self-paced, straightforward tutorial on algebra. It's the perfect textbook companion for students struggling with algebra, a solid primer for those looking to get a head start on an upcoming class, and a welcome refresher for parents tasked with helping out with homework. The book provides 24 one-hour lessons, with each chapter designed to build on the previous one.
? Covers classifying number sets, expressions, polynomials, factoring, radicals, exponents and logarithms, and much more
? Each chapter ends with a quiz so readers can identify where they may need more help
Synopsis:
About the Author
Jane Cook is an accomplished math teacher with a Master's degree in secondary administration. She has taught and tutored students in algebra I and II, geometry, and pre-calculus since 1972 and currently teaches algebra and geometry at Moravian Academy in Bethlehem, PA. She also currently serves as a math tutor for Sylvan Learning Center.
"Synopsis"
by Penguin,
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Why U is funded by the Goldman Charitable Foundation in partnership with the University of Central Florida.
Mathematics, as the 18th century poet Alexander Pope said about life, is "a mighty maze, but not without a plan". The purpose of this series is to allow the viewer to gain a bird's eye view of this maze, as well as better insights into the conceptual foundation and framework of mathematics.
These videos are designed to be used as collateral material for mathematics courses on the K-12 and college levels, and to be a resource for informal independent study. Rather than focusing on procedural problem solving, the objective is to give insight into the concepts on which the rules of mathematics are based. Once a student has gained a strong conceptual foundation, the material presented in math textbooks is much easier to digest and retain.
The goal of Why U is to facilitate the formal education process through self-directed study. This offers several advantages.
Web-based videos present a low barrier-of-entry to viewers of all ages.
Students can progress at any pace that they choose.
Lectures can be viewed repeatedly and in any order.
High-quality graphics allow complex concepts to be visualized, grasped, and retained with less effort.
Through the use of animation, 3-dimensional relationships can be presented more clearly than with static diagrams.
Why U creators are currently working on the series of animated lectures entitled "Algebra". This series closely examines the concepts on which Algebra, as well as higher mathematics, is based. The goal of these lectures is to explore these fundamental concepts more precisely and in greater depth than is currently possible in most high-school and college-level algebra courses.
Your comments, ideas, and contributions are appreciated. Thank you for helping us to continue this important work.
This series of animated tutorials lays the foundation for high school and college algebra.
This series of animated tutorials explains not only how, but why the rules of algebra work. The goal is the development of a strong conceptual foundation, rather than cookbook problem solving.
A Humorous look at the topology of curved space. This video can be enjoyed by viewers on all levels, from K-12 to PhD.
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Required Resources: Modern Introductory Analysis by Dolciani et. al, Houghton Mifflin Co., 1964.
You will be required to consult resources from the library/curriculum library
from time to time such as secondary school math textboooks, Principles and
Standards for School Mathematics, journal articles from The
Mathematics Teacher. You will need access to a graphing calculator. Bring it to class each session.
Purpose: NCATE strongly suggests that prospective secondary teachers have the equivalent of a course "considering selected topics from the junior or senior high curriculum taught from an advanced standpoint reflecting the mathematical concepts, generalizations, and applications as they related to the school curriculum." NCTM stresses the importance of students acquiring an awareness of the interrelationship among the various fields of mathematics as well as the relationship of mathematics to other disciplines. This course is designed to serve these purposes, as well as review students for the NTE Math Specialty Area Exam.
Objectives:
Enhance the capabilities of prospective mathematics teachers graduating from MTSU and improve performance on the mathematics specialty portion of the NTE
Examine in greater depth topics to which the student has prior exposure, and emphasize the relevance and implications of these topics to the pre-college level classroom
Extend the investigation of certain mathematical concepts for prospective teachers
Explore the connections between various concepts within mathematics and between mathematics and other subjects
Use technology in mathematical problem solving and application
Enhance pedagogical skills of prospective mathematics teachers with emphasis on
teaching pre-calculus and calculus and the use of technology
[Homework Collection Procedure: Place your homework assignment on the front desk by the
beginning of class. Most assignments will consist of problem sets and will be collected the beginning of the next class period. Some of these problem sets will consist of multiple choice questions. However, all necessary work must be shown on the paper to be turned in. No late assignments will be accepted except in the case of a doctor's excuse or approved school trip.
No exceptions! An assignment is late if it is not on the front desk when
class begins. You are expected to "figure out how to do" the
majority of the homework problems before class; if you have difficulty I will be
glad to help you!]
60% Three in-class tests, counting 20% each. Each test will be comprehensive. Tests will be based upon homework assignments and material covered in class. Tests will be
announced at least one week in advance.
20% Comprehensive final exam.
Note: Plus-Minus grading will be used using the following
scale.
A: [88-100];
B+: [85, 88), B: [79, 85); B-: [76, 79);
C+: [73, 76), C: [67, 73); C-: [64, 67);
D+: [61, 64); D: [55, 61); D- [52, 55);
F below 52
General Information:
Last day to drop a course without a grade - February 5, 2001
Last day to drop a class with a W - March 5, 2001
These dates will be strictly enforced. If you need to talk with me concerning your progress in this class before this date, do not hesitate to do so.
If you have a disability that may require assistance or accommodation, or if you have questions related to any accommodations for testing, note takers, readers, etc., please speak with me as soon as possible. Students may also contact the Office of Disabled Student Services (898-2783) with questions about such services.
The syllabus may change at the discretion of the instructor.
Attendance policy - Be present! Every classroom activity is targeted toward a specific goal. I have absolutely no sympathy nor tolerance for individuals who miss class or are late to class unnecessarily. No late assignments are accepted except in the case of a doctor's excuse or an approved school trip. Make-ups for tests may be harder than the original.
Do not hesitate to come by the office for help!!!! Try to use scheduled office hours first, but if you cannot come at those times, you can make an appointment for other times.
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Synopsis
Topics fundamental to mathematics and computing including elementary number theory, sets, relations and functions; methods of logic and proof, especially proof by induction; recurrence relations and difference equations; trees and other graphs.
Outcomes
At the completion of this unit, students should be able to:
recognise fundamental entities and concepts in discrete mathematics and determine when they will be useful in solving real-world problems;
describe and apply the basic concepts and algorithms of number theory, including the Euclidean algorithm;
recognise basic methods of proof, particularly induction, and apply them to solve problems in mathematics and computer science;
work confidently with sets, relations, functions and their associated concepts, and apply these to solve problems in mathematics and computer science;
use and analyse simple first and second order recurrence relations;
use trees and graphs to solve problems in computer science.
Assessment
Examination (3 hours): 70%; In-semester assessment: 30%
Workload requirements
Minimum total expected workload equals 12 hours per week comprising:
(a.) Contact hours for on-campus students:
Three hours of lectures
One 90 minute tutorial
(b.) Additional requirements (all students):
A minimum of 7.5 hours independent study per week for completing tutorial and project work, private study and revision.
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books.google.com - Mathematics is a subject we are all exposed to in our daily lives, but one that many of us fear. Timothy Gowers's entertaining overview of the topic explains the differences between what we learn at school and advanced mathematics, and helps the math phobic emerge with a clearer understanding of such...
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books.google.com - The creation of algebraic topology is a major accomplishment of 20th-century mathematics. The goal of this book is to show how geometric and algebraic ideas met and grew together into an important branch of mathematics in the recent past. The book also conveys the fun and adventure that can be part of... Combinatorial Introduction to Topology
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Trigonometry
A study of the trigonometric functions of angles and real numbers along with their graphs and inverses, solutions of triangles and other applications, trigonometric identities, conditional trigonometric equations, complex numbers in trigonometric form and DeMoivre's Theorem, introduction to vectors and polar coordinates, and introduction to parametric equations.
Textbooks, solutions manuals and calculators are available in the commons for students to use. Learning Commons staff can assist you with the TI 83 and TI 84 calculator usage.
Zona Land -Trigonometry Realms Definitions and graphs of trigonometric functions; common Angles in a circle; point definitions for trig functions; Degrees, Minutes, and Seconds; The Radian; Right Triangle Solvers; Vectors
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Authors Ward Cheney and David Kincaid show students of science and engineering the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. The text also helps students learn about errors that inevitably accompany scientific computations and arms them with methods for detecting, predicting, and controlling these errors. A more theoretical text with a different menu of topics is the authors' highly regarded NUMERICAL ANALYSIS: MATHEMATICS OF SCIENTIFIC COMPUTING, THIRD EDITION.
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Introduction to Ordinary Differential Equations
9780486659428
ISBN:
0486659429
Pub Date: 1989 Publisher: Dover Pubns
Summary: A thorough, systematic 1st course in elementary differential equations for undergraduates in mathematics and science, requiring only basic calculus for a background, and including many exercises designed to develop students' technique in solving equations. With problems and answers. Index.
Landin, Joseph is the author of Introduction to Ordinary Differential Equations, published 1989 under ISBN 9780486659428... and 0486659429. Two hundred four Introduction to Ordinary Differential Equations textbooks are available for sale on ValoreBooks.com, fifty three used from the cheapest price of $12.11, or buy new starting at $12
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About the Book: The book `Fundamental Approach to Discrete Mathematics` is a required part of pursuing a computer science degree at most universities. It provides in-depth knowledge to the subject for beginners and stimulates further interest in the topic. The salient features of this book include: Strong coverage of key topics involving recurrence... more...
A quantity can be made smaller and smaller without it ever vanishing. This fact has profound consequences for science, technology, and even the way we think about numbers. In this book, we will explore this idea by moving at an easy pace through an account of elementary real analysis and, in particular, will focus on numbers, sequences, and series.Almost... more...
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This is exactly the same as the free version. Buy this version only as a way of saying thanks.A calculator that tries to include graphing and matrix math without losing its simplicity. Slide left and right to access more panels.Requires v4.0+. Hide your default calculator by either disabling it (v4.1+) or using a custom launcher.Features:-Basic arithmetic (+, -, *, /)-Trigonometry (sin, cos, tan, arcsin, arccos, arctan)-Complex numbers (5+7i)-Graphs X,Y functions (Y=X^2)-Basic matrix math (+, *, inverse, transpose)-Hexadecimal and Binary support (1A+E)-Widget for lockscreen and launcher-Animated history (Long press to copy)-Hide pages you don't need-Tablet and Smartphone supported-Completely open source! Download the source code
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This book is concerned with one of the most fundamental questions of mathematics: the relationship between algebraic formulas and geometric images.At one of the first international mathematical congresses (in Paris in 1900), Hilbert stated a special case of this question in the form of his 16th problem (from his list of 23 problems left over from thePolyhedral and Algebraic Methods in Computational Geometry provides a thorough introduction into algorithmic geometry and its applications. It presents its primary topics from the viewpoints of discrete, convex and elementary algebraic geometry.The first part of the book studies classical problems and techniques that refer to polyhedral structures.... more...
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This module addresses the patterns in arithmetic and geometric sequences and series. Students are expected to apply the formulas for finding the nth term of a sequence or series, the nth partial sum of finite series, and the infinite sum of a geometric series when it exists. General iterative relationships and recursive models are applied to patterns and problems. There will be a variety of types of test items including some that cut across the objectives in this standard and require students to make connections and solve rich contextual problems, where appropriate.
I1. Arithmetic and geometric sequences and series
a. Represent the general term of an arithmetic or geometric sequence and use it to generate the sequence or determine the value of any particular term.
Use and interpret sigma notation, ∑, to indicate summation.
Recognize that the sequence defined by: First term = 5; each term after the first is 6 more than the preceding term as the sequence whose first seven terms are 5, 11, 17, 23, 29, 35, and 41.
b. Represent partial sums of an arithmetic or geometric sequence and determine the value of a particular partial sum or sum of a finite sequence.
Use the formulas for sums of finite arithmetic and geometric series to find partial sums or the sum of n terms.
c. Recognize when an infinite geometric sum can be determined and determine the sum when possible.
Determine that the sum exists when the common ratio, r, is
between 1 and -1. (|r| < 1)
To find the infinite sum, when it exists, use the formula , where a represents the first term or the geometric series and r is the common ratio.
d. Convert the recursive model for linear growth (a1 = a, an+1 = an + d, where a is the first term and d is the constant difference) to a closed linear form (an = a + (n - 1)d).
e. Convert the recursive model of geometric growth (p1 = a, pn+1 = rpn, where a is the first term and r is the constant growth rate) to a closed exponential form (pn = arn-1).
f. Recognize, express, and solve problems that can be modeled using a finite geometric series. Interpret their solutions in terms of the context of the problem.
Possible applications are home mortgage problems and other compound interest problems.
This includes using and interpreting appropriate units of
measurement and precision for the given application.
I2. Other types of iteration and recursion
a. Use recursion to generate and describe, analyze, and interpret patterned relationships other than arithmetic or geometric sequences.
Analyze and explain the iterative steps in standard algorithms for arithmetic.
Use recursion to generate and describe patterned relationships.
Analyze sequences produced by recursive calculations using
spreadsheets.
Example: The result of repeatedly squaring a number between -1 and 1 appears to approach zero; the result of repeatedly squaring a number less than -1 or greater than 1 appears to continue to increase; determine empirically how many steps are needed to produce 4-digit accuracy in square roots by iterating the operations divide and average.
Describe the factorial function or the Fibonacci sequence recursively.
b. Use iterative methods to solve problems.
Display the effect of iteration using a spreadsheet.
Example: Use a spreadsheet to display and compare the effect of compound interest on loans or investments at different rates of interest; identify the
diminishing effect of increasing the number of times per year that interest is compounded.
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...
More About
This Book
process standards for areas such as algebra, geometry, measurement, problem solving, and reasoning/proofs. It also includes a glossary of math terms and dozens of suggestions for additional children's reading to further math
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Mathematics A Discrete Introduction
9780534356385
ISBN:
0534356389
Pub Date: 2000 Publisher: Brooks/Cole
Summary: This book is an introduction to mathematics--in particular, it is an introduction to discrete mathematics. There are two primary goals for this book: students will learn to reading and writing proofs, and students will learn the fundamental concepts of discrete mathematics.
Scheinerman, Edward A. is the author of Mathematics A Discrete Introduction, published 2000 under ISBN 9780534356385 and 0534356389. Fiv...e Mathematics A Discrete Introduction textbooks are available for sale on ValoreBooks.com, three used from the cheapest price of $11.65, or buy new starting at $13.57.[read more]
Ships From:Ithaca, NYShipping:Standard, ExpeditedComments:Good shape- NO access codes-NO CD,suppliments ect. This is the book only- may have hilighting,und... [more]Good shape- NO access codes-NO CD,suppliments ect. This is the book only- may have hilighting,underlining ect [less]
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Enter your mobile number or email address below and we'll send you a link to download the free Kindle Reading App. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required.
Harold Jacobs's Geometry created a revolution in the approach to teaching this subject, one that gave rise to many ideas now seen in the NCTM Standards. Since its publication nearly one million students have used this legendary text. Suitable for either classroom use or self-paced study, it uses innovative discussions, cartoons, anecdotes, examples, and exercises that unfailingly capture and hold student interest.
This edition is the Jacobs for a new generation. It has all the features that have kept the text in class by itself for nearly 3 decades, all in a thoroughly revised, full-color presentation that shows today's students how fun geometry can be. The text remains proof-based although the presentation is in the less formal paragraph format. The approach focuses on guided discovery to help students develop geometric intuition.
Most Helpful Customer Reviews
There is some criticism that this textbook has lost the rigor of the 2nd edition. Having used that for 5 years and this for two years, I would argue that the current edition demonstrates far more care toward the reluctant student and causes the math nerds to stop and think about who is interested in knowing or needing geometry.
There are good reasons for every change. One is simply that there are only 180 days in the school year. I use this text with homeschoolers. We meet 72 days per year, and we do every chapter, every problem, plus a fair bit of other supplements.
I do not understand the criticism that the book is disorganized and chaotic. In the last 8 years I have taught math from more than 10 different texts, from pre-algebra to pre-calculus. Harold Jacobs sense of organization is a relief. I suspect that since the 2nd edition has been around since 1987 and has stood the test of time, that the criticism stems from the fact that even mathematicians dislike change. (What in the world is wrong with geometry students using a protractor?) I do not believe the book is a nod to political correctness defined by the NCTM. I think it rather corrects the course taken by other publishers in their interpretation of the NCTM standards.
Proofs from the 2nd edition are available online from the Freeman publisher website, so you can add that back in, as I do. The teacher guide that accompanies the text, written by Peter Renz (above reviewer), adds several more levels of richness and complexity. Use as much or as little as you want. You now have the flexibility to use this text with those enthralled by math as well as those resistant to math.
In my first review, since withdrawn, I was critical of the tests provided by the publisher as being for weenies.Read more ›
Amazon reviews let you know what teachers and students think about texts. Type in the following ISBNs to see the reviews of the second edition (ISBN 071671745X) of this text or of the author's Mathematics: A Human Endeavor (ISBN 071672426X). These comments on the third edition are based on close reading, not classroom experience. With an initial review up, I hope to see what others have to say. I taught at Reed, Wellesley, and Bard Colleges and watched the reform mathematics program develop when I was associate director of the Mathematical Association of America, in Washington, DC. Geometry is my research area. I worked in publishing as an editor for more than 20 years. I have read every word of this book and worked all of the exercises because I was its freelance editor. I am a knowledgeable, interested party. The third edition towers over the second edition, which is described by its most recent Amazon reviewer, Edward Lee, as "the best geometry text in existence, bar none" (January 25, 2003). Begin by noticing the use color throughout, then notice how color has been used to make key material in the text and diagrams stand out more clearly. Detailed comparisons will show you that every part of the book has been scrutinized and reworked, adding a host of new examples and exercises, fine-tuning the concepts and wording. Coordinates are used throughout, so that analytic methods are now another tool rather than the subject of a special chapter, late in the book. Chapter 1, An Introduction to Geometry is completely new and shows the reader how geometry has been used from the dawn of history, in the East and the West, to design cities, measure the earth's circumference, design pyramids, and figure land taxes.Read more ›
I am a retired chemist who teaches math to homeschooled students. Early in my career I was also a math teacher so I'm fortunate to be able to see how the approach to math has changed over the years. Jacob's book is clear and concise with an enormous number of problems after each lesson. I personally believe math is learned by doing problems. It is the constant application of concepts in solving problems that enables understanding to take place; the problems in Jacob's book reinforce the postulates and theorems by applying them in different situations. The problems are also practical, amusing and interesting which certainly helps to engage students.
The layout of the book is very consistent and well organized developing a pattern which makes it easy to thumb backwards to find previous information. Consistency is important in the learning process.
I think many textbooks today make the mistake of trying to sell the subject to the student with glitz and graphics. I believe this makes those books distracting and confusing. Jacob's approach is to state a few postulates or theorems clearly with a few examples. The problem sets demonstrate their use exhaustively.
I typically assign 150 problems to my students a week. This takes about 45-60 minutes a day. We typically go over the answers and discuss the next topic very briefly. Even if the number of assigned problems is cut in half, the arrangement of the problem sets enables competency to be attained. Of course in the world of today where homework is a thing of the past, many educators believe students need to be seduced with fluff but fluff doesn't drive concepts home. Practice makes perfect still works for me.Read more ›
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This student worktext accompanies the Student Edition and provides in-class support for Math Vocabulary, Key Concepts, Got Its?, and Lesson Check. Plus one 6-year access to PowerAlgebra.com for a seemless transtion between digital and print.
One 6-year access to PowerAlgebra.com serves as the portal into the digital world of Prentice Hall Algebra 2 Foundation Series. The online program can be used as part of a blended model with print, or as a digital course. Online access includes a wealth of assets, such as the Student Edition with audio, complete Teacher's Edition, instruction and presentation tools, editable worksheets, interactive online activities, student-generated videos, classroom management tools, and online assessments with remediation.
This comprehensive resource contains the Student Companion and Practice and Problem Solving workbook for the Foundation series, all in one place.
This resource provides complete daily support for every lesson. The following resources are included:
Think About a Plan
Pracitce
Standardized Test Prep
The 2-volumne printed set features teaching strategies offered in each lesson, supported by Grant Wiggins' Understanding by Design framework, additional instructional support for English Language Learners, struggling learners, and advanced learners, Chapter Planning Guides with activities and program resources labeled with levels of difficulty plus a Teacher's Resource DVD.
Provides in-class support for new vocabulary, key concepts, Got Its, and lesson checks plus complete daily support for every lesson including Think About a Plan, practice, and standardized test preparation.
Provides key features for each lesson and answers to Think About a Plan, pracitic, and standardized test prep.
proficiency
grade
medium
language(product)
type (legacy)
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Control Systems
These tutorials are designed to illustrate how to use MATLAB and Simulink for the analysis and design of automatic control systems. They cover the basics of MATLAB and Simulink, the most common classical control design techniques (PID, root locus, and frequency response), as well as some modern (state-space) control design. The Control Systems Toolbox is used extensively in these tutorials.
Course Level:
Senior undergraduate
Graduate
Type of content:
MATLAB Primer/Tutorial
Simulink Primer/Tutorial
Prerequisite(s) / Target Audience:
Students who need to learn or brush up on Matlab/Simulink.
MathWorks Toolboxes or Blocksets used:
Control Systems toolbox and Simulink
Quanser Consulting, Inc., offers a complete line of feedback control experiments. The systems are robust, durable, and modular thus allowing you to reconfigure the same plant to obtain various experiments. Our experiments include the Inverted Pendulum, the Ball and Beam, the Seesaw/Pendulum MIMO experiment, and the Helicopter. All systems are equipped with quick-connect cabling, source code in C, handbooks, system modeling, and control system design files written in Maple, MATLAB, and Simulink. Capture your students' interest while teaching them well-established principles or give your research project an edge by implementing the new control strategies you are developing. Submitted: Mar 13, 2008
This course package, which includes Power Point Presentations, sample Simulink models and .m files, is designed for use in a control course with a mechanical engineering orientation. Emphasis is placed on system modeling, simulation and control design.
The aim of this course is to present an overview of several important design techniques for linear control systems. Topics covered include: feedback control theory; classical and multivariable control system design; uncertainty models and robustness; and H-Optimization and m-synthesis.
Course material created by Maarten Steinbuch, Gjerrit Meinsma, Okko H. Bosgra, and Huibert Kwakernaak.
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Descartes is a series of packages to do geometry with Mathematica. The first volume is: 2D Euclidean Geometry. The program contains a toolkit of basic geometrical objects: POINT, STRAIGHT, CIRCLE, ARC, CONIC, LINE, POLYGON, VECTOR, and more than hundred functions to produce exact drawings. Note that using a symbolic engine to do drawing, all the theorems of geometry are automatically applied and an assembly of drawings is as rigorous as a single drawing. Results come in both graphical and analytical form. Properties such as: alignment, concentricity, contact, parallelism, etc., can be tested exactly. Last, objects may depend on parameters and become geometrical functions ideal to generate families of objects, this is, the realm of dynamical geometry. The package is designed to be used as an element of basic courseware on geometry and for numerous applications ranging from scientific publishing to graphics art or CAD/CAM. This MathSource item contains demonstration notebooks and informationalal files about the Descartes program.
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