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Target Audience: High School Students, College Freshmen and Sophomores, Class 11/12 Students in India preparing for ISC/CBSE and Entrance Examinations like the IIT-JEE, Anyone else who needs this Tutorial as a reference!
This tutorial contains an introduction to various terms and definitions used while dealing with Matrices
A Quick Introduction (Covered in greater detail in the tutorial document at the end)
A rectangular arrangement of numbers (which may be real or complex numbers) in rows and columns, is called a matrix. This arrangement is enclosed by small ( ) or big [ ] brackets. The numbers are called the elements of the matrix or entries in the matrix. Example:-
1 2 3
4 5 6
7 8 9
A matrix having m rows and n columns is called a matrix of order m×n matrix (read as an m by n matrix). We will frequently use this notation A=[ ]m×n represents the element in the i-th row and the j-th column in a matrix of order m×n.
Two matrices A and B are said to be equal matrix if they are of same order and their
corresponding elements are equal. Example:
A =
1 2 3
4 5 6
7 8 9
B =
1 2 3
4 5 6
7 8 9
1. Row matrix:
The matrix has only one row and any number of columns. Example
[ 1 2 3 4 ]
2. Column matrix:
The matrix has only one columns and any number of rows. Example
1
2
3
3. Singleton matrix:
If a matrix has only one element. Example [2]
4. Null or Zero matrix:
All the elements are zero in such a matrix. Example:
0 0 0
0 0 0
0 0 0
5. Square matrix:
If the number of rows and columns in a matrix are equal, then it is
called a square matrix. Thus A=[ ] m×n is a square matrix if m=n
6. Trace of a matrix:
The sum of the diagonal elements of a square matrix. A is called the trace
of matrix A, which is denoted by tr A=a11+a22+…….ann
7. Diagonal Matrix:
All elements not on the principal diagonal are zero
Example:
5 0 0
0 1 0
0 0 4
8. Identical Matrix:
A diagonal matrix in which all elements on the principal diagonal are set to one.
9. Scalar Matrix:
A diagonal matrix in which all elements on the principal diagonal are equal.
Other concepts introduced in the tutorial :
Triangular Matrices: Upper and Lower triangular matrices
Addition, subtraction and scalar multiplication of matrices
Multiplication of matrices
How to compute the minors, cofactors, adjoint, transpose and inverse of a matrix. Properties of the adjoint, inverse and transpose of a matrix
Introduction to Matrices - Part IIProblems and solved examples based on the sub-topics mentioned above. Some of the problems in this part demonstrate finding the rank, inverse or characteristic equations of matrices. Representing real life problems in matrix form.
Determinants Introduction to determinants. Second and third order determinants, minors and co-factors. Properties of determinants and how it remains altered or unaltered based on simple transformations is matrices. Expanding the determinant. Solved problems related to determinants.
Simultaneous linear equations in multiple variablesRepresenting a system of linear equations in multiple variables in matrix form. Using determinants to solve these systems of equations. Meaning of consistent, homogeneous and non-homogeneous systems of equations. Theorems relating to consistency of systems of equations. Application of Cramer rule. Solved problems demonstrating how to solve linear equations using matrix and determinant related methods.
Introductory problems related to Vector Spaces - Problems demonstrating the concepts introduced in the previous tutorial. Checking or proving something to be a sub-space, demonstrating that something is not a sub-space of something else, verifying linear independence; problems relating to dimension and basis; inverting matrices and echelon matrices.
More concepts related to Vector SpacesDefining and explaining the norm of a vector, inner product, Graham-Schmidt process, co-ordinate vectors, linear transformation and its kernel. Introductory problems related to these. |
History of Mathematics
9780130190741
ISBN:
0130190748
Pub Date: 2001 Publisher: Prentice Hall
Summary: For junior and senior level undergraduate courses, this text attempts to blend relevant mathematics and relevant history of mathematics, giving not only a description of the mathematics, but also explaining how it has been practiced through time.
Suzuki, Jeff is the author of History of Mathematics, published 2001 under ISBN 9780130190741 and 0130190748. One hundred twenty five History of Mathematics textboo...ks are available for sale on ValoreBooks.com, sixty eight used from the cheapest price of $45.15, or buy new starting at $98 Contact Customer Service for questions.[less] |
This course provides an integrated approach to technology and the skills required to manipulate, display, and interpret mathematical functions and formulas used in problem solving. Topics include simplification, evaluation, and solving of algebraic and radical functions; complex numbers; right triangle trigonometry; systems of equations; and the use of technology. Upon completion, students should be able to demonstrate an understanding of the use of mathematics and technology to solve problems and analyze and communicate results.
2013FA - New State Prereq: (DMA 010 and DMA 020 and DMA 030 and DMA 040 and DMA 050 |
***Excerpt from book***
To mathematics the word derivative means an instantaneous rate of change in a quantity. To a quantitative analyst a derivative is a financial entity whose value is derived from the value of some underlying asset. Hence a European call option is a derivative who value is a function of (among other things) the value of the security underlying the option. In this chapter we explore derivatives from the mathematician's perspective. In the Chapter 9 we will use these derivates in the manner of a quantitative analyst. Members of the quantitative financial profession refer to the subject matter of this chapter as the "Greeks" since a Greek letter is used to name each derivative (except for the one which we will meet in due time).
This textbook provides an introduction to financial mathematics and financial engineering for undergraduate students who have completed a three or four semester sequence of calculus courses. It introduces the theory of interest, random variables and probability, stochastic processes, arbitrage, option pricing, hedging, and portfolio optimization. The student progresses from knowing only elementary calculus to understanding the derivation and solution of the Black–Scholes partial differential equation and its solutions. This is one of the few books on the subject of financial mathematics which is accessible to undergraduates having only a thorough grounding in elementary calculus. It explains the subject matter without "hand waving" arguments and includes numerous examples. Every chapter concludes with a set of exercises which test the chapter's concepts and fill in details of derivations. |
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). |
Books a la Carte are unbound, three-hole-punch versions of the textbook. This lower cost option is easy to transport and comes with same access code or media that would be packaged with the bound book.
By connecting applications, modeling, and visualization, Gary Rockswold motivates students to learn mathematics in the context of their experiences. In order to both learn and retain the material, students must see a connection between the concepts and their real lives. In this new edition, connections are taken to a new level with "See the Concept" features, where students make important connections through detailed visualizations that deepen understanding.
Rockswold is also known for presenting the concept of a function as a unifying theme, with an emphasis on the rule of four (verbal, graphical, numerical, and symbolic representations). A flexible approach allows instructors to strike their own balance of skills, rule of four, applications, modeling, and technology. |
The BPB team has created a book where the use of the graphing calculator is optional but visualizing the mathematics is not. By creating algebraic-visual side-by-sides, the authors show students the relationship of the algebraic solution with the visual, often graphical solution.In addition to helping students visualize the math with the side-by-sides, the authors focus on helping students make the connection between x-intercepts, zeros and solutions, both visually and algebraically.
This book covers both elementary and intermediate algebra in one volume, with an early introduction to graphing and functions, and with all the proven pedagogy and problem sets of the successful BE series. With this revision, the authors have retained all the hallmark features that have made this series so successful, including its five-step problem solving process, student-oriented writing style, real data applications, and variety of exercises. Among the new features added or revised are the Technology Connection boxes, Collaborative Corner exercises, and World Wide Web integration. Intermediate Algebra: Concepts and Applications (5th Edition): Students Solutions Manual to Accompany Intermediate Algebra Concepts and Applications: |
books.google.com - This... and Combinatorial Mathematics
Discrete and Combinatorial Mathematics: An Applied Introduction
This were added, creating a greater variety of level in problem sets, which allows students to perfect skills as they practice. This new edition continues to feature numerous computer science applications-making this the ideal text for preparing students for advanced study.
From inside the book
Review: Discrete and Combinatorial Mathematics
User Review - Bart - Goodreads
This book is amazing. It aroused in me a love of discrete mathematics. It has great coverage of combinatorics, set theory, graph theory, finite state machines. The examples are great although they ...Read full review |
Summary: Viewing stained glass from different angles or in various lights is necessary to discover its many qualities. Likewise, viewing solutions of differential equations from several points of view is essential to fully understand their behavior. Lomen and Lovelock provide an active environment for students to explore differential equations by using analytical, numerical, graphical, and descriptive techniques, and for students to use ODEs as a natural tool for modeling man...show morey interesting processes in science and engineering. ...show less
Basic Concepts. Autonomous Differential Equations. First Order Differential Equations - Qualitative and Quantitative Aspects. Models and Applications Leading to New Techniques. First Order Linear Differential Equations and Models. Interplay Between First Order Systems and Second Order Equations. Second Order Linear Differential Equations with Forcing Functions. Second Order Linear Differential Equations - Qualitative and Quantitative Aspects. Linear Autonomous Systems. Nonlinear Autonomous Systems. Using Laplace Transforms. Using Power Series46 +$3.99 s/h
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Big Planet Books Burbank, CA
1998-11-09 Paperback Good Expedited shipping is available for this item!
$78 |
Merrimack PrecalculusOne of the prerequisite courses of this course is linear algebra. In general to join a PhD program a student should pass at least three branches of math namely, Analysis, Geometry and Algebra. Analysis include real and complex analysis (advanced calculus is part of analysis) Algebra include abs... |
Textbook plays an important role in learning a subject.Choosing agood book helps a lot in developing your interest,while a bad or dry bookcan kill your interest Information of books become handy and quite use-ful.Here I am going to list some of books I have come across,and how I usedand found useful in learing the subject. For little exposure to branchesof mathematics ans books look at book "All the mathematics you missedbut need to know for graduate school" by Thomas A Garrity.Some of goodbooks can be found at MIT open course web page.
1 Linear Algebra
1.1 hoffman and kunze
:I haven't read this book,but I heard people say that this contains good exer-cise.On the other hand some people find it dry,as it doesn't provide any motiva-tion to know theory.So,I think this book will not be good for first introductionto subject.
1.2 Linear Algebra by Jin Ho Kwak Sungpyo hong, J. H.kwak
: I guess book provide motivation for the theory developed and contains goodexamples to show the application of the theory developed.
1.3 Introduction to Linear Algebra by Gilbert Strang
:Renowned professor and author Gilbert Strang demonstrates that linear al-gebra is a fascinating subject by showing both its beauty and value. Whilethe mathematics is there, the effort is not all concentrated on proofs. Strang'semphasis is on understanding. He explains concepts, rather than deduces |
Purna is a show to see (very entertaining). He isn't the most clear teacher and often focuses on proofs which students aren't used to. The homeworks can be long and often contain a proof, but it's only due once a week. Overall a pretty easy class, plus the tests and final were a joke and he can easily be talked into postponing them.
Purnaprajna (called Purna) is a pretty good teacher. He's a very, very funny guy, and enjoys getting to know his students. His homework is difficult, though, and is often very long. He is the only math teacher that I have ever encountered (as an engineering major) that puts proofs on his homework and tests. Tests were difficult, final was easy.
Not helpful. Hard to understand. Gives tons of homework problems and grade 2 or 3, so if you struggle on one you can fail the whole assignment. Leaves lectures frequently to make personal calls and expects you to stay through them
Overall, he's a great professor. He's willing to work with his students and to answer questions. He does believe in meditation ("go home and meditate" on the theorem of the day) and class participation. He's also crazy in a fun way. Whenever the class kind of dozed off, he'd always wish for swings in class so that we could grab them and swing. |
Web Site Webmath.com This is a dynamic math website where students enter problems and where the site's math engine solves the problem. Students in most cases are given a step-by-... Curriculum: Mathematics Grades: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
8.
Web Site Prentice Hall Math Textbook Resources This site has middle school and high school lesson quizzes, vocabulary, chapter tests and projects for most chapters in each textbook. In some sections, ther... Curriculum: Mathematics Grades: 6, 7, 8, 9, 10, 11, 12
9.
Web Site Dave's Short Trig Course Check out the short trigonometry course and learn the new way of learning trig. This short course breaks into sections and allows user to learn at his/her o... Curriculum: Mathematics Grades: 9, 10, 11, 12 |
Saxon Math Homeschool Curriculum for Grades 7-12
If you have a math student who likes to work a variety of problems and would be bored with twenty-five of the same type of problems, then your student will like Saxon Math. If your student needs to work twenty-five problems of the same type to learn a concept, this might not be the best program for you unless you adapt the problem sections. Our daughters who chose Saxon for their math did quite well in math courses at college.
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We think the Solution Manuals are a must for Algebra ½ and up! Not just the answers are included; the problems are worked for you! They come with the homeschool kits for Saxon Math 54 to Saxon Math 87.
Instruction CDs
If you need help with Saxon Math or want offer additional instruction, then we can highly recommend that you purchase an instruction CD. Two instruction CD options are available.
The Saxon Homeschool Teacher Lesson and Test CDs offer instruction for each lesson. The instructor shows how to work every problem in the book. In the Saxon Teacher CDs, a teacher with extensive Saxon teaching experience goes over a lesson and works every practice problem problem set, and test problem. The Saxon Teacher instruction is secular, and there are several different instructors.
Math 76
Saxon Math 76 Homeschool Kit 4th Edition
Publisher: Saxon Homeschool.
ISBN-13:9781591413493
The Math 76 Homeschool Kit 4th Edition includes a softcover textbook, a softcover Tests and Worksheets, and a softcover Solutions Manual for advanced grade 6 and regular grade 7.
List $103.60
Price $83.99
Saxon Math 76 Student Textbook 4th Edition
ISBN-13:9781591413196
List $48.65
Price $39.99
Saxon Math 76 Tests and Worksheets 4th Edition
ISBN-13:9781591413233
If you have an additional student and want to have worksheets and tests for each one, then you need this.
Most of the pages in this book are not reproducible; however, there are 5 recording forms in the back of the book that are reproducible and include:
Mixed Practice Solutions – Grid layout for student to show work and answers to Mixed Practice problems)
Scorecard – Helps track scores on daily assignments and tests.
Test Solutions – Grid layout for student to show work and answers to tests.
List $29.90
Price $24.99
Saxon Math 87 Solutions Manual 3rd Edition
ISBN-13: 9781591413288
Note: This is compatible only with the homeschool version.
This is the solutions manual for Math 87 3rd Edition. It has the solutions [the work to solve the problems is shown] for the problems in the book.
List $35.80
Price $28.99
Algebra 1/2
Saxon Algebra 1/2 3rd Edition Homeschool Kit
Publisher: Saxon Homeschool.
ISBN-13:9781565774995
The Algebra ½ Kit 3rd Edition covers all topics normally taught in pre-algebra, as well as additional topics from geometry and discrete mathematics. It is recommended for seventh-graders who plan to take first-year algebra in the eighth grade, or for eighth-graders who plan to take first-year algebra in the ninth grade.
The Saxon Algebra ½ Homeschool Kit 3rd Edition contains one of each of the following items.
Saxon Algebra 1/2 3rd Edition Homeschool Kit with Solutions Manual
The Algebra ½ Kit 3rd Edition with Solutions Manual includes one of each of the following items.
Algebra ½ Student Textbook
Algebra ½ Answer Key and Test forms 9781591411727
Algebra ½ Solutions Manual 9781565771314
Grade 8.
List $115.95
Price $93.99
Saxon Algebra ½ Solutions Manual, 3rd Edition*
ISBN-13: 9781565771314
This is the Saxon Algebra ½ Solutions Manual, 3rd Edition. It has the solutions [the work to solve the problems is shown for the problems in the book.
List $43.55
Price $34.99
Saxon Algebra ½ Answer Key and Tests 3rd Edition
ISBN-13: 9781591411727
List $22.90
Price $18.99
Algebra 1
Saxon Algebra 1 3rd Ed. Homeschool Kit
Publisher: Saxon Homeschool.
ISBN-13: 9781565771239
The Saxon Algebra 1, Third Edition is made up of five instructional components: Introduction of the New Increment, Examples with Complete Solutions, Practice of the Increment, Daily Problem Set, and Cumulative Tests.
The Saxon Algebra 1, Third Edition Homeschool Kit includes one of each of the following:
Algebra 1 Student text
Algebra 1 Answer Key and Test Forms 9781565771383
A solutions manual is available separately.
Grade 9.
List $80.85
Price $65.99
Saxon Algebra 1 3rd Edition Homeschool Kit with Solutions Manual
Publisher: Saxon Homeschool.
ISBN-13:9781600329715
The Algebra 1 Kit 3rd Edition with Solutions Manual includes one of each of the following items.
Algebra 1 Student Textbook
Algebra 1 Answer Key and Test forms 9781565771383
Algebra 1 Solutions Manual 9781565771376
Grade 8.
List $124.20
Price $97.99
Saxon Algebra 1 3rd Edition Solutions Manual*
ISBN-13: 9781565771376
The Algebra 1 3rd Edition Solutions Manual has the solutions [the work to solve the problems is shown] for the problems in the book.
Grade 9.
List $44.85
Price $35.99
Saxon Algebra 1 3rd Edition Answer Key and Tests
ISBN-13: 9781565771383
Grade 9.
List $22.90
Price $18.99
Saxon Geometry First Edition
Geometry In Saxon Algebra 1 and 2
The new Saxon Geometry Kit is available now. For those of you who want a separate geometry from Saxon, this should work. In the meantime, Saxon Algebra 1 Third Edition and Algebra 2 Third Edition still include geometry. If you are required by law to keep a log, please log the lessons on geometry separately as geometry.
Saxon Geometry First Edition Homeschool Kit With Solutions Manual
Publisher: Saxon Homeschool.
ISBN-13: 9781600329760
This kit includes one of each of the following:
Geometry textbook (9781602773059)
Homeschool Testing Book with cumulative tests, answer forms, and answer key (9781600329777), and
Saxon Geometry Solutions Manual (978160275619).
List $130.55
Price $104.99
Saxon Geometry, 1st Edition Homeschool Testing Book
Publisher: Saxon Homeschool.
ISBN-13: 9781600329777
Unlike the Homeschool Packets in other Saxon Math curriculum, the Saxon Geometry Homeschool Testing book has the test forms and the answers for those tests. There are no answers to problems in the book.
It makes sense. There are complete solutions in the Solutions Manual which is included in the kit and is not sold separately. |
Basic Linear Algebra is a text for first year students leading from concrete examples to abstract theorems, via tutorial-type exercises. More exercises (of the kind a student may expect in examination papers) are grouped at the end of each section. The book covers the most important basics of any first course on linear algebra, explaining the algebra of matrices with applications to analytic geometry, systems of linear equations, difference equations and complex numbers. Linear equations are treated via Hermite normal forms which provides a successful and concrete explanation of the notion of linear independence. Another important highlight is the connection between linear mappings and matrices leading to the change of basis theorem which opens the door to the notion of similarity. This new and revised edition features additional exercises and coverage of Cramer's rule (omitted from the first edition). However, it is the new, extra chapter on computer assistance that will be of particular interest to readers: this will take the form of a tutorial on the use of the "LinearAlgebra" package in MAPLE 7 and will deal with all the aspects of linear algebra developed within the book.
Book details
Published 26/06/2002
Publisher Springer London Ltd
ISBN 9781852336622
Basic Linear Algebra
2
5
1
1
Review of Basic Linear Algebra by Blyth and RobertsonThe book gives a thorough and rigorous treatment of linear algebra which is what a first year student will expect to see on a linear algebra course from a British university. There are a number of numerical examples which lead nicely to the theory of linear algebra. The authors have hit the right balance between proofs of theorems and techniques to apply such theorems.The ordering of the chapters is sensible with the first 4 chapters on matrices and linear equations before the more abstract work on vector spaces. The theory and manipulations on eigenvalues and eigenvectors is left towards the end of the book.A great asset of the book is that it is portable and reasonably cheap at around 16 for students to buy and carry around in lectures and library.It is also good to see that brief solutions to most problems are at the back of the book.The only solutions omitted are the assignment problems which the lecturer can set as part of the coursework. Additionally there are sufficient exercises with good progression and it is good to see a whole chapter devoted to a computer algebra package.However I have following reservations:In the introduction to the book it is important to state why linear algebra is critical to the student's mathematical studies. It should say something like "after calculus the most useful mathematical tool ever developed is linear algebra because it brings the physical world within the scope of mathematics".A book on linear algebra should have plenty of illustrations so that the student can envisage what is going on and these illustrations can be used to motivate him or her. This book has a severe lack of diagrams.More words are required to motivate the student and soften the blow. Each chapter should have an introduction, a list of objectives and a summary. I follow the maxim 'Tell them, at great length, what you are going to do. Do it, and then tell them what you have done'. The authors do not write in a way that will appeal to weaker students. It is far too succinct.The word 'basic' in the title is not appropriate for this book. A number of A level students cannot divide 10^(-7) by (1/2x10^4) even with a calculator. I can't see how students will cope with this book without a serious input by a tutor.Another issue is that the book is not interactive in any way. It seems to be a one way delivery from the authors to the student. A book like this should include some questions which will make the student think and arouse his/her anxiety. I could not find a single question in the text of the book for the reader. Clearly there are a number of problems for the student to tackle but I am referring to questions such as:1. Why are matrices important?2. How can we prove this theorem?3. What approach are we going to use to solve this problem?A more serious issue is that once the authors have covered a particular concept they expect the student to fully digest it. This is not my experience of students. I think a particular concept used in chapter 9 which was covered in chapter 2 say, needs to be signposted so that the student knows exactly where the idea was defined earlier in the book.A less serious issue is that the authors use some very compact and complicated notation. It will difficult for first year students to follow some of this compact notation unless they have seen it before.The authors use mathematical software, MAPLE 7, but it would have been better to integrate this into each chapter rather than bolt on a chapter at the end. Students will be more confident in using the software if it is used throughout the book.
26 November 2008 |
books.google.com - The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises throughout to aid the reader's understanding.This edition includes substantial new material in areas that include: tensor products,... algebra
Abstract algebra
The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises throughout to aid the reader's understanding.
This edition includes substantial new material in areas that include: tensor products, commutative rings, algebraic number theory and introductory algebraic geometry. Also, includes rings of algebraic integers, semidirect products and splitting of extensions, criteria for the solvability. of a quintic, and Dedekind Domains.
From inside the book
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Review: Abstract Algebra
User Review - Nishant Pappireddi - Goodreads
I am a student at UC Berkeley who is studying mathematics. Nine months ago, my friend sent me a pdf of this book because I was interested to see what kind of problems were being assigned in her ...Read full review
Review: Abstract Algebra
User Review - Waffles - Goodreads
It's a math text, so I didn't enjoy reading it, but it is a good comprehensive overview of algebra. I'm glad this was the text for my algebra sequence.Read full review |
Algonquin ACTDiscrete math was a part of my Bachelors in Mathematics. I also have significant amounts of coursework in computer science including optimization of algorithms, and in mathematics including logic, set theory, combinatorics, number theory, and graph theory. The focus of my undergraduate work was geometry and topology |
LEARNING CALCULUS JUST GOT A LOT EASIER! Here?s an innovative shortcut to gaining a more intuitive understanding of both differential and integral calculus. In Calculus Demystified an experienced teacher and author of more than 30 books puts all the math background you need inside and uses practical examples, real data, and a totally different... more...
When a new extraordinary and outstanding theory is stated, it has to face criticism and skepticism, because it is beyond the usual concept. The fractional calculus though not new, was not discussed or developed for a long time, particularly for lack of its applications to real life problems. It is extraordinary because it does not deal with ???ordinary???... more...
Silvestre FranAois Lacroix (Paris, 1765 - ibid., 1843) was a most influential mathematical book author. His most famous work is the three-volume TraitA(c) du calcul diffA(c)rentiel et du calcul intA(c)gral (1797-1800; 2nd ed. 1810-1819) a" an encyclopedic appraisal of 18th-century calculus which remained the standard reference on the subject through... more...... more...
Get ready to master the principles and operations of calculus! Master Math: Calculus is a comprehensive reference guide that explains and clarifies the principles of calculus in a simple, easy-to-follow style and format. Beginning with the most basic fundamental topics and progressing through to the more advanced, the book helps clarify calculus using... more... |
Description Integrated course of algebra, geometry and trigonometry. Practical applications to vocational and technical programs are emphasized through the use of contextualized small-group classroom activities and guided practical problem solving. Topics include graphing in the Cartesian coordinate system; graphing and solving linear equations and systems of linear equations; geometric concepts of angles (degree and radian measure) and triangles, including the Pythagorean theorem and similar triangles; trigonometric concepts of sine, cosine, and tangent, and solving right triangles. Prerequisite: Grade of C- or better in OCSUP 106, or appropriate placement score.
Intended Learning Outcomes
Students will be able to:
Apply a prescribed problem solving structure, which includes: interpreting given information, translating given information into mathematical language, predicting a quantitative outcome, performing the calculations using a prescribed methodology, and judging the results;
Interpret and explain written information from a wide variety of charts and graphs and analyze trends in data;
Communicate mathematical ideas and problem solutions in writing;
Use a scientific calculator to perform a variety of calculations;
Create a written project report that clearly communicates the given problem information (including sketches drawn to sacale), the solution plan, the estimated outcome, the detailed quantitative analysis, and an evaluation of the outcome;
Solve word problems using one or more of the following prescribed methodologies or by choosing an appropriate methodology:
. Compute unit conversions within and between English and metric unit systems;
. Analyze and simplify compound units when solving application problems;
. Solve for a given variable by rearranging a formula;
. Set up and solve a system of two linear equations by graphing, substitution, and/or elimination;
. Use right triangle trigonometry and the Pythagorean Theorem;
. Use the square root property;
. Use two-dimensional vectors (graph vectors, construct a vector from component vectors, determine component vectors, and determine a vestor sum of two or more two-dimensional vectors by using graphing or the component method).
Course Topics
Solving word problems pertaining to various trades programs.
Locating and using reliable resources in the problem solving process.
Monitoring one's own learning and seeking help when necessary.
Demonstrating an ability to work both independently and in small groups. |
Math 1351 Foundations of Mathematics II Information
LSC-CyFair Math Department
Catalog Description This is designed specifically for students who seek elementary and middle school teacher certification. Topics include concepts of geometry, probability, and statistics, as well as applications of the algebraic properties of real numbers to concepts of measurement with an emphasis on problem solving and critical thinking.
Course Learning Outcomes The student will: • Explore the geometric attributes of physical objects in order to classify and to form definitions. • Analyze spatial characteristics such as direction, orientation, and perspective. • Connect geometric ideas to numbers and measurement. • Use geometric models to solve problems. • Explore and understand measurement and estimation. • Analyze data and statistics. • Use probability with simple and complex experiments. • Understand surface area and volume through discovery.
Billstein, Libeskind, Lott; A Problem Solving Approach to Math for Elementary Teachers, 11th ed.; Pearson Required: Students must buy an access code to MyMathLab, an online course management system which includes a complete eBook; students will first need a Course ID provided by the instructor in order to register; online purchase of MyMathLab access at hard copies of access codes available with ISBN: 9780558357603 Hardbound text (optional), ISBN: 0321756665 Hardbound text + free MyMathLab access, ISBN: 032182802X
Calculator: Graphing Calculator required. TI 83, TI 84 or TI 86 series calculators recommended. Calculators capable of symbolic manipulation will not be allowed on tests. Examples include, but are not limited to, TI 89, TI 92, and Nspire CAS models and HP 48 models. Neither cell phones nor PDA's can be used as calculators. Calculators may be cleared before tests. |
This is a rich and deep area of study that is intimately linked with the field of Algebraic Geometry.
At a very basic and introductory level, a course would probably cover the ideas of rings (which generalize, among other things, the integers) and ideals, an important construction in ring theory. Ideally (pun intended) the course would go on to cover other number fields (generalizing the rationals and the reals) and cover what are known as algebraic integers, which form a ring and again generalize the integers. One of the main areas of study in number theory is factorizations and primes, and these are extended to the study of rings and in particular the ring of algebraic integers in an arbitrary number field. As it turns out, prime numbers is not the most easy thing to work with in these arbitrary rings of algebraic integers so what we use are the ideals generated by these prime numbers. So we gain the notion of a prime ideal. To understand prime factorizations and prime ideals in these rings of algebraic integers, we construct an equivalence of ideals and classify them, which leads to the notion the class group of a ring.
If the course is more advanced, the course may cover topics such as class field theory.
Integer Programming is a form of constrained optimization. Usually Integer Programming refers to solving what are called Integer Linear Programs. Integer Linear Programs appear all over the place, and people from many fields (Mathematics, Business, Operations Research, Electrical Engineering, Computer Science) are interested in them, as they model a very large space of problems that come up in their respective fields. It would be very nice to have a good background in Linear Algebra but it's not too necessary.
Let's start with a Linear Program, which consists of a linear function to maximize, and a series of linear constraints. What this amounts to is this: say we have a set of variables x1,x2,...,xn. We then want to maximize the function c1x1+c2x2+...+cnxn, subject to a series of constraints a11x1+a12x2+...a1nxn ≤ b1, a21x1+a22x2+...a2nxn ≤ b2, ... an1x1+an2x2+...annxn ≤ bn, where all aij, bi, xi are all reals. In matrix form, this would be "maximize cTx subject to Ax≤b" where b,c,x are all column vectors and A is a nxn matrix.
Integer Linear Programs are Linear Programs where all aij, bi, xi are further constrained to be integers.
If you know anything about computability and algorithms: Linear Programs can be solved in Polynomial time, using various methods. The most popular method is called the Simplex method which actually can take exponential time in the worst case, but is usually fast. Other methods exist that always take polynomial time but might be slower in practice in the usual case, since the instances on which Simplex takes exponential time are very artificial. Integer Linear Programs, on the other hand, are NP-hard to solve. In the fields of Combinatorial Optimization and Approximation Algorithms, NP-hard optimization problems are often modeled as Integer Linear Programs and then relaxed to Linear Programs, that is, the x_i's are now allowed to be real. The output of the relaxation is modified to give integer solutions, which are not optimal, but can be proved to give a value that is close to the optimal.
Important to Integer and Linear Programming is the idea of duality, which you will almost certainly cover in the course. Presumably you will also learn about geometric properties of Integer and Linear Programs and how this allows us to solve them (the Simplex method, for example, can be viewed as traversing the edges of the polytope defined by the linear constraints). Other methods of solving them approximately or exactly exist in the form of Greedy and Dynamic Programming algorithms, which your course might cover as well. If the course is a semester long, presumably it would also cover the use of Integer Programs in various applications, as well as using Linear Programming relaxations as in the use of Approximation Algorithms.
The book is about the application of Fourier analysis in the study of
boolean functions; in particular, it relates Fourier coefficients of said functions to known structural properties, such as Influence, and then uses the coefficients to derive new structural properties, such as lower bounds in the computational complexity of boolean functions.
As a mobile user, I find these statements bewildering. Most apps have the ability to view the subreddit's sidebar. For example in AlienBlue, one of the most popular reddit apps, as linked from their subreddit's sidebar:
Basic topics like Calculus and Differential Equations are easy to learn by oneself. I personally learned Calculus and Differential Equations entirely online by watching the linked videos and doing the homeworks provided.
Even more "advanced" topics like Real Analysis I self-studied by slogging through Baby Rudin and watching some corresponding lectures; for Algebra there are some nice lectures, but I only got through a few of them before I realized I could go faster just going through Artin's book by itself. I did find that it was much easier for me to learn Algebraic Topology at university than reading a book, though.
Got an amazing result that was too good to be true -- backtracked 2 steps and found an issue, and then my gut told me to backtrack even further and found an issue 10 steps back. Trying to salvage the rest now...
As an algorithmist, I run away in terror if I ever have to deal with any actual numbers other than 0 or 1. Those are for the computer to deal with.
Joking aside, I've retained my ability to do quick arithmetic when I'm working out simple examples to verify my intuition or try to find a counterexample to show my algorithm doesn't work as intended, but for anything more complicated, I plug it into WolframAlpha or Matlab. Also, as far as I'm concerned f'(x) = O(f(x)/x).
Hmm, at least for the weak version I think it's okay to be a bit sloppy and leave off the part about the sum, insofar as if you set my interval width ε small enough the condition you want holds anyway.
But I agree that to be completely correct I should have included that. |
College Algebra and Trigonometry - 5th edition
Summary: This text provides a supportive environment to help students successfully learn the content of a standard algebra and trigonometry course. By incorporating interactive learning techniques, the Aufmann team helps students to better understand concepts, focus their studying habits, and obtain greater mathematical success.
Many new components added to this edition of College Algebra and Trigonometry have been designed to help students diagnose and review weak ...show morealgebra skills. Prerequisite review is include in the textbook (and supporting materials) so that instructors can spend less time covering review material and students can still fill in the gaps in their mathematical knowledge. ...show less
Section 7.1 The Law of Sines Section 7.2 The Law of Cosines and Area Section 7.3 Vectors Section 7.4 Trigonometric Form of Complex Numbers Section 7.5 De Moivre's Theorem Exploring Concepts with Technology: Optimal Branching of ArteriesCD MissingGood
Susies Books Garner, NC
2004 Hardcover COVER, CORNER WEAR This book looks good. It is like any used book you would expect to find in a used book shop.
$9.95 +$3.99 s/h
Good
invisibledog Salt Lake City, UT
0618386807 Some marking.
$9.99 +$3.99 s/h
Good
harambee Kansas city, MO
2004 Hardcover Good condition, jacket is slightly torn and taped on the corners |
Therefore, in Precalculus, students will be introduced to the important and basic mathematical concepts inquired before in algebra with deeper and higher details. They comprise, but not limited in, inequalities, equations, absolute values, and graphs of lines and circles. Students also focus on functions and their graphs. |
Cheyney Trigonometry that. 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 |
In this paper, we explore the use of dynamic geometry software (DGS) as a medium for
changing student and teacher interactions (and attitudes) with functions. We o er three
examples of sketches that may be used to encourage students to build their own functions.
Moreover, we share a strategy for developing additional sketches, namely our three-step
MTA process (Measure - Trace - Algebratize). Note that these steps roughly correspond
to concrete, iconic, and symbolic levels of representation proposed by Bruner (1960; 1966).
As our examples illustrate, the MTA approach provides students with opportunities to
explore and construct remarkably non-standard functions - often beautiful, unexpected,
and thoroughly original. |
The Degree Finder in 3 easy steps
Open Courses from Math Planet
Suitable for high school students preparing for the ACT Exam, this course provides sixty sample questions in areas of English, math, reading, and science comparable to problems found on the test itself.
Constructed for students with an advanced understanding of algebra, this course will help them brush up on linear equations, inequalities, graphs, matrices, radicals, functions, and other complex mathematical concepts.
This class geared toward high school and secondary students focuses on building the learner's conceptual knowledge of key geometrical areas, like points, lines, angles, triangles, quadrilaterals, and circles. |
It is not only well written, it has lots of worked examples! It is not as comprehensive as some "standards" such as Arfkin or Butkov, but it is much more useful for mastering the basics. No physics student should be without this book.
I'm a physics undergraduate. Out of all my books on math, this is far and away the most comprehensive and useful book! It has supplanted my other, thicker books and is the one thing I turn to whenever I need to refresh myself on a math method. It covers practically every useful math technique for physics, and never assumes that you're a genius (unlike other books). Each step is explained in clear, refreshing language and in a very logical order. From Laplacian transforms to Fourier series to ODEs, each subject is introduced so well that, even when I've missed a lecture, I can understand the topic just from reading it. Highly recommended and worth the price, this is one book physics undergraduates should have. The only thing else needed with it is the solutions manual.
This book has a bit of everything from Linear Algebra, Calculus, Analysis, Probability and Statistics, ODE, PDE, Transforms just to name a few. If you get a chance to study everything from this book, you will probably learn more from this book than all your undergraduate math courses combined. Some concepts on this book may be difficult to understand due to the lack of in depth coverage. But I guess the main intention of this book is to focus on the applied side and cover as much material that is relevant to physics and engineering as possible and not go into much detail on the theory side. If you are a graduate student in physics or engineering and want to buy this book for reference, it will be a good start for the first year courses but won't help you much after that. Readibility of this book is excellent. You will understand most of the concepts and examples presented. Bottomline: This is a must have book for engineers and physicists.
Hey, Math undergrads! Home for the summer? Only room in that case for one math text? Make it Boas. She'll get you up to speed on all the mechanics of doing math; calculus, vectors, PDEs, fourier analysis and stuff. Once you have that all down pat you can go and read Spivak or whatever you like and do it properly with all those annoying little proofs ;)
This was the textbook for my first advanced math-physics (mathsics) class. While the review of vector calc and other things I already knew was really helpful, I found it just too lacking in good examples and simpler homework problems to learn from it really well. Although I am really glad I own the book, I would rather learn from something that gives examples similar to the homework problems and gives a few lower-level homework problems to get my feet wet and THEN I can jump into the more complicated stuff.
To put it quite simply, if you are a physics student, you must own this book. What does this book do for you? Consider this... In my school, we do not have a mathematical methods course for science, so I decided to take on a math minor to take all the classes neccesary to do physics "right." This included a class on ODEs, Fourier Series & PDEs, Linear Algebra, and Complex Variables. These classes, although helpful, cover a lot of stuff that is not quite useful for understanding physics concepts, often undermining or dampening the stuff that is actually applicable. What makes this book so great is that it combines all the essential math concepts into one compact, clearly written reference. If I could do it all over again, I would easily rather take a two semester Math Methods course (like they do in many schools) using a book like Boas than take all these obtuse math courses. With this book, it makes it so handy to review previously learned concepts or actually learn poorly presented topics ( for a physicist anyway) in mathematics classes... (Things like Coordinate Transformations, Tensors, Special Functions & PDEs in spherical & cylindrical coordinates, Diagonilzation, the list goes on.....) Keep this gem handy when doing homework and studying for exams, learning the math tools from this book enables you to concentrate squarely on the physics in your other textbooks... (since mathematical background information, understandably, is often cut short...)
This book covers basic topics(vector analysis, ode, series, multivariable calculus, calculus of variations, Fourier, etc.) in a very original and understandable way. However, my only complaint, it is too classical. It doesn't go into any depth on vector spaces and other math essential to QM. But for the basics it is the best book out there. |
Additional product details
This introductory text is organized into 11 chapters, including helpful appendices, to assist students in understanding and applying basic mathematical principles key to success in the fire service. The author provides a review of mathematical, statistical, and basic measurement principles, in addition to mathematical hydraulic word problems, hazardous material calculations, and more, in order to provide a comprehensive overview of the fundamentals of mathematics as they pertain to firefighting. |
A series of reports produced by the Higher Education Academy STEM project: Skills in Mathematics and Statistics in the disciplines and tackling transition are published today.
The five discipline-specific reports accompany an overarching report, Mathematical transitions, and present findings of a major project funded and run by the HEA which looked at the mathematical and statistical needs of undergraduate students in disciplines including Business and Management, Chemistry, Economics, Geography, and Sociology. Broadly speaking these are disciplines where there is a clear need for Mathematics and Statistics, but where an A-level in Mathematics is not usually a pre-requisite for acceptance at university.
The main findings of the project suggest that many undergraduate students are surprised at the amount of mathematical content in their degree programmes and some struggle to cope with this content. For some time, there has been concern in the HE sector about the mathematical and statistical skills of students entering undergraduate degree courses in these disciplines. In particular there are many questions regarding the extent to which students' skills match the actual requirements of university degree courses.
The reports consider the mathematical demands of the subjects, what the HE departments are doing to meet the students' needs, staff and student expectations and the signalling HE provides about the need for mathematical and statistical skills. Throughout a particular emphasis is placed on the transition into university study.
Dr Mary McAlinden, Discipline Lead for Mathematics, Statistics and Operational Research at the HEA says: "Mathematical and statistical skills are embedded within the university curricula of many subjects both in STEM and more widely. They are fundamental tools which students need to acquire in order to be able to understand and appreciate academic literature and research findings within their subject domains. There is, therefore, a clear need for a greater understanding between the HE and pre-university sectors about the need for students to be able to apply their mathematical and statistical skills within their subject domains."
The Higher Education Academy (HEA) invites expressions of interest from HEA subscribing higher education providers from across the UK to participate in three strategic enhancement programmes commencing in October 2014.
The three programmes – Embedding employability into the curriculum, Internationalising the curriculum, and Engaged student learning – form key elements of the HEA's four enhancement workstreams for 2014-15. A call for participation in two further strategic enhancement programmes relating to flexible learning, and retention and attainment, will be issued in October 2014.
Participating institutions will receive HEA-facilitated support for enhancement initiatives that they are taking forward during 2014-15 that align to the programme. Support will take the form of a series of network meetings tailored for each of the three programmes, plus bespoke support for each participating institution. Specific projects designed to strengthen the evidence base in the areas covered by the programmes will be commissioned by the HEA.
The deadline for submission of applications is: noon on Monday 15 September 2014.
A report presenting the findings of a study commissioned by the HEA and conducted by the National Union of Students (NUS)/NUS Services has found that on the whole students are positive about the use of OERs.
Silicon Valley has a famously rocky relationship with higher education. While many of the brightest minds in the tech industry were educated at prestigious universities such as Stanford and Harvard, many more take pride in having dropped out of their degrees to pursue start-up glory, including Steve Jobs, Mark Zuckerberg and Bill Gates. Peter Thiel, the co-founder of PayPal, is so disdainful of university education that he established a fellowship offering several young people $100,000 (£60,000) per year to drop out and start a company insteadAn independent task force has called on the Government to invest £20 million to help embed the new computing curriculum in schools, warning that the UK could struggle to fill digital roles in the future |
Calculators can perform math functions quickly and easily. The most common functions are addition, subtraction,...
see more
Calculators can perform math functions quickly and easily. The most common functions are addition, subtraction, multiplication, and division. This course will use the Touch Method, which means using the calculator without looking at the keys. Using this method will help develop competency. After building competency, students will be able to use 10-key calculators to enter numeric data and perform calculations efficiently. |
Larkfield, CA ACTThe student gains an appreciation for the power of mathematics to model the real-world. Calculators extend a student?s ability to calculate and visualize mathematics. However, it is important that the student understands the concepts that underlie what the graphing calculator produces. |
This innovative text features a graphing calculator approach, incorporating real-life applications and such technology as graphing utilities and Excel spreadsheets to help students learn mathematical skills that they will use in their lives and careers. The texts overall goal is to improve learning of basic calculus concepts by involving students with new material in a way that is different from traditional practice. The development of conceptual understanding coupled with a commitment to make calculus meaningful to the student are guiding forces. Targeted toward students majoring in liberal arts, economics, business, management, and the life and social sciences, the text's focus on technology along with its use of real data and situations make it a sound choice to help you develop an intuitive, practical understanding of concepts.
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Calculus Concepts: An Informal Approach to the Mathematics of Change (Textbooks Available with Cengage Youbook): 314461439049570
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Math Study Skills Workbook, 4th Edition
Become more effective at studying and learning mathematics with the MATH STUDY SKILLS WORKBOOK, Fourth Edition. This best-selling workbook helps you identify your strengths, weaknesses, and personal learning style—and then presents an easy-to-follow system to increase your success in math. With helpful study tips and test-taking strategies, this workbook can help reduce "math anxiety" and help improve your grade60.95
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Elementary Algebra
Builds on the author's tradition of guided learning by incorporating a comprehensive range of student success materials to help develop students' ...Show synopsisBuilds on the author's tradition of guided learning by incorporating a comprehensive range of student success materials to help develop students' proficiency and conceptual understanding of algebra. This text continues coverage and integration of geometry in examples and exercises |
Essentials of Discrete Mathematics82.98
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About the Book
The Second Edition of David Hunter's Essentials of Discrete Mathematics is the ideal text for a one-term discrete mathematics course to serve computer science majors, as well as students from a wide range of other disciplines. The material is organized around five types of mathematical thinking: logical, relational, recursive, quantitative, and analytical. This presentation results in a coherent outline that steadily builds upon mathematical sophistication. Graphs are introduced early and are referred to throughout the text, providing a richer context for examples and applications. Students will encounter algorithms near the end of the text, after they have acquired enough skills and experience to analyze them properly. The final chapter contains in-depth case studies from a variety of fields, including biology, sociology, linquistics, economics, and music. |
A+ Math
Games
A small collection of Java and non-Java games to test your mathematical
skills
Algebra
Review in Ten Lessons
This is the review of Algebra in 10 lessons written in TeX and converted
to the Adobe Portable Document Format (PDF). Features include verbose
discussion of topics, typeset quality mathematics, user interactivity
in the form of multiple choice quizzes, in-line examples and exercises
with complete solutions, and pop-up graphics
Ask
Dr. Math
Ask Dr. Math is a question and answer service for math students and
their teachers. A searchable archive is available by level and topic,
as well as summaries of Frequently Asked Questions
Artlandia
Graphics Gallery
This page illustrates the statistical properties of certain types
of self-similar random processes (and the use of corresponding Artlandiafunctions).
Using Artlandia, you can easily add a "just-right" touch
of randomness to your artwork
Analysis
WebNotes
Analysis WebNotes is divided up into chapters and each chapter is
subdivided into classes. Use the index of chapters to get an overview
of the whole of WebNotes, or to search for a topic. Use the indexes
by class or of numbered results (theorems, lemmas, etc) to search
for a topic you already know the location of
The
Algebra Project Online
The Algebra Project is a national mathematics literacy effort aimed
at helping low income students and students of color--particularly
African American students--successfully achieve mathematical skills
that are a prerequisite for full citizenship in the Information Age
Abstract
Algebra On Line
This site contains many of the definitions and theorems from the area
of mathematics generally called abstract algebra. It is intended for
undergraduate students taking an abstract algebra class at the junior/senior
level, as well as for students taking their first graduate algebra
course
Biographies
of Women Mathematicians
These pages are part of an on-going project by students in mathematics
classes at Agnes Scott College, in Atlanta, Georgia, to illustrate
the numerous achievements of women in the field of mathematics. There
are biographical essays or comments on most of the women mathematicians
and some photos
C
Calculus
Graphics
Excerpts from a collection of graphical demonstrations the author
developed for first year calculus
CoolMath.com
An amusement park of mathematis, and more! Lots of pretty stuff and
JavaScript effects!
The Continuum
Hypothesis
People have tried to understand space, time, motion, and the notion
of "continuum" for thousands of years. This pursuit lead
to the Pythagoreans discovery of irrational numbers, Zeno's paradoxes,
infinitesimal calculus, transfinite set theory, relativity theory,
quantum physics, and many more intriguing ideas
A
Dictionary of Units of Measurement
This dictionary includes: all the units of the International System
of Units (SI); many other units of the metric system used in everyday
life or in science, either currently or recently; various non-metric
scientific units such as the astronomical unit, the electronvolt,
and the parsec; all the units of the English traditional systems I've
encountered which can be defined with reasonable precision; selected
traditional units from cultures other than English; and certain measurement
terms and notations which are not "units of measurement"
in a strict sense, but which are used much as if they were
Top
E
ENRICH: Mathematics
Enrichment Club
ENRICH has thousands of members from 80 countries and many more regular
users. Everything is free. School students, teachers and those professionally
involved in education are welcome to join
The project aims to establish a permanent national centre for curriculum
enrichment to provide mathematical learning support for very able
children of all ages. The learning and enjoyment of mathematics will
be promoted through an Internet Newsletter and the participation of
university students as peer teachers providing an electronic answering
service. The centre will offer support, advice and inservice training
to teachers, and resources for mathematics clubs
The Electronic
Library of Mathematics
The Electronic Library of Mathematics contains online journals, article
collections, and monographs in the field of mathematics. All material
is in electronic form and access is free
Fraction
Worksheets
Browse their collection of fraction worksheets that are great for
learning and easy to print. Many of the worksheets are randomly generated
so you can create and print an unlimited amount of worksheets.
A
Free Library of Mathematics Books
The Mathwright Library is a free collection of interactive mathematics
and science books that you bring to your own desktop from the web,
and then read at your leisure
Finite
Mathematics & Applied Calculus
Resource Page
This site is written especially for users of their books, Finite Mathematics,
Applied Calculus, and Finite Mathematics and Applied Calculus. However,
while the content and material matches that in their books, the material
is sufficiently generic so as to be useful to any student or faculty
member, regardless of the textbook they are using, and is offered
as a free resource for everyone
The
Geometry Center
The Geometry Center is a mathematics research and education center
at the University of Minnesota. The Center has a unified mathematics
computing environment supporting math and computer science research,
mathematical visualization, software development, application development,
video animation production, and K-16 math education
GANG:
Geometry, Analysis, Numerics, Graphics
The Center for Geometry, Analysis, Numerics & Graphics (GANG)
is an interdisciplinary Differential Geometry research team in the
Dept of Mathematics & Statistics at the University of Massachusetts,Amherst,
Massachusetts, USA
The
Geometry Junkyard
These pages contain usenet clippings, web pointers, lecture notes,
research excerpts, papers, abstracts, programs, problems, and other
stuff related to discrete and computational geometry. Some of it is
quite serious, but much of it is also entertaining
Geometry
in Action
This page collects various areas in which ideas from discrete and
computational geometry (meaning mainly low-dimensional Euclidean geometry)
meet some real world applications. It contains brief descriptions
of those applications and the geometric questions arising from them,
as well as pointers to web pages on the applications themselves and
on their geometric connections
Graph
Theory Tutorials
This is the home page for a series of short interactive tutorials
introducing the basic concepts of graph theory. They are designed
with the needs of future high school teachers in mind
An
Electronic Primer
on Geometric Constraint Solving
Geometric constraint solving has applications in many different fields,
such as molecular modeling, Computer-Aided Design, tolerance analysis,
and geometric theorem proving. In this primer, a solution to the problem
of finding a configuration for a set of geometric objects which satisfies
a given set of constraints between the geometric elements is detailed
Gallery
of Online Interactive Geometry
This web-based interface to the Pisces program allows you to compute
implicitly defined curves in the plane. You can choose from several
pre-defined functions, and can modify their parameters and domains
Mathematics
Glossary -- Middle Years
The definitions included here are those that are used in the Saskatchewan
Education document "Mathematics 6-9: A Curriculum Guide for the
Middle Level". Various mathematics dictionaries may have different
definitions. These definitions are designed to be meaningful to middle
level mathematics teachers
Allmath.com
Glossary
Yes, you guessed it! Yet another glossary of math terms. This one
is more up to date though.
The
Prime Glossary
The "Prime Glossary" is an attempt to collect the most basic
definitions about primes, and make them accessible to students and
seekers of all ages
The Glossary
of Mathematical Mistakes
This is a list of mathematical mistakes made over and over by advertisers,
the media, reporters, politicians, activists, and in general many
non-math people
Geometry
Center: Downloadable Software
Part of the mission of the Geometry Center is to develop software
tools to support the computation and visualization of mathematics.
A considerable portion of the Center's efforts have gone to designing
such tools, and to making them available to the mathematical and scientific
communities, and to the world at large.
The
Integrator: Integrate Online With Ease
From simple calculator operations to large-scale programming and interactive
document preparation, Mathematica is the tool of choice at the frontiers
of scientific research, in engineering analysis and modeling, in technical
education from high school to graduate school, and wherever quantitative
methods are used
Lessons
for Meaning in Mathematics
A set of lessons that have been used in various classroom. These lessons
conform to the NCTM Standards in that they are founded in understanding
through reasoning and applications to life
Top
M
Math
Planet
Mathplanet.com is an online platform where you can study math all
for free! On Mathplanet you'll find theory, exercises, hundreds of
video lessons and examples. You can also practice for your SAT or
ACT tests. If you have a mathematical question you can always ask
for help in their online forum.
Mathematicians
of the African Diaspora
In Mathematics, more than any other field of study, have we heard
proclamations and statements similar to, "The Negro is incapable
of succeeding." Ancient and present achievements contradict such
statements. One of the purposes of this website is to exhibit the
inaccuracy of those proclamations by exhibiting the accomplishments
of the peoples of Africa and the African Diaspora within the Mathematical
Sciences
Math Stories for Children
The goal of this web site is to help grade school children improve
their math problem-solving and critical thinking skills. It has over
4000 math word problems for children to enjoy
Mathematics
Explorations II
The first Project emerged from a desire to create exciting mathematics
classroom materials based on NASA space activities. Ignition occurred
with the realization that NASA harbored the dream's excitement. This
is project 2
Math
in Daily Life
When you buy a car, follow a recipe, or decorate your home, you're
using math principles. People have been using these same principles
for thousands—even millions—of years, across countries and continents.
Whether you're sailing a boat off the coast of Japan or building a
house in Peru, you're using math to get things done
Maths
Online Gallery
The Gallery consists of interactive multimedia learning units on various
issues that shall facilitate understanding. Technically, most units
are Java applets, some are graphical supplements or other programs
(JavaScript). For practice and (self) control, visit the collection
of interactive tests |
Offers specific guidance on how to identify and solve factorial experiments. The authors have provided a wealth of exercises, solutions, and suggested reading to help you further your understanding of this topic.
Extends the concepts covered in the Development of Numerical Skills workbook, to cover solving algebraic problems, exploration of Excel mathematical, statistical and financial functions, and completes the workbook by providing a revision session on co-ordinate geometry. |
Calca — The Math App That Understands Your Writing
I'll never forget the first time I installed Mathematica in college. I was excited by the demos, and wanted to see how much it could help me take my calculus knowledge further — and take the drudgery out of math. Turns out, it was far more complicated to use than I ever anticipated, even more so than my trusty TI-89.
Couldn't CAS — computer algebra systems — be a bit less complex and more accessible to everyone who doesn't have time to take a whole class on using them? Computers were designed originally to solve complex math, but normal calculators, spreadsheets, and CAS systems have remained too basic on the one end and too complex on the other to change the way most of us feel about math.
It's more than understandable that we'd tend to be skeptical when a new app claims to make math simpler for everything from engineering to basic budgets at the same time — but that's exactly what Calca claims. It's a markdown text editor fused with a CAS; can it possibly be the answer to the frustrations of math?
Calculated Writing
Calca at first glance would seem to be a text editor more than a math tool, but dig deeper and it's easily more of the latter than the former. But it's not a half-bad text editor at that, complete with Markdown support that'll show the formatting as you add it and makes links clickable. Everything — including the calculated numbers — are saved in your Calca document in plain text format with a .txt extension, so you can open your notes and calculations in any app or share the finished document with anyone even if they're not on a Mac.
But that's not the best part. The best part is Calca's brilliant math engine that lets you type out equations just as you'd solve them on paper, and then it'll go ahead and solve them for you when you type the function name followed by =>. You can write everything out in words, as in the examples above, defining variables naturally, and then ask it what the final answer is. 99.9% of the time, it'll give you back exactly what you're looking for (and the other 0.1% of the time, you'll realize that you've messed something up, declaring a variable twice or mistyping something).
Calca is very easy to use. Essentially, you can declare a variable by using any normal word or phrase, followed by an = and the value or equation it's equal to. This can be something simple, such as the things that are in your budget, or it can be a standard f(x)= algebra function. Then, you can see the final value of your variable by typing your variable followed by =>. Anything in bold black is a variable, anything blue is a number value, and anything with a grey background is a result that's been generated by Calca.
Then, if you need more info, you can find out numerical facts from Google directly in the app. Just type in "USD to Euro exchange rate" or "distance from earth to sun" or anything else you want to find, then type =? and Calca will find the answer for you from Google. You can then use that in your following equations. It won't find everything, but I've already found it powerful and useful.
Calca goes far beyond the basic math you'd think of at first with an app like this, and can do everything from compute logs, solve matrices, compute basic logic statements and for statements, solve functions for a variable, or even just simplify equations as much as it can. Just look through the examples on the Calca site to see what it can do — it's one powerful app.
Haven't We Seen This Before?
It'd be impossible to hear about Calca without thinking of Soulver, the original text-based simple calculator for the Mac. There's a lot of similarities, but Calca is definitely the more powerful of the two. Soulver is designed to keep things simple, with calculation bar on the right that automatically shows the value of each line, and a sum at the bottom. You can use variables and solve simple functions with it, depending on how you set them up, but its primary purpose is more ordinary calculations such as budgets that end with a tally at the bottom.
Soulver is likely simpler to get started with, but it can be confusing in its own right, and I'd tend to think most people who'd like Soulver would equally like Calca. You may miss Soulver's quick conversions, though, and if you're looking for the simplest way to do quick text-based math that mainly involves sums and conversions, it still can come out on top. Calca's Markdown text formatting, built-in Google search function, and far cheaper price tag, though, make it more attractive, even aside from the advanced math features.
Conclusion
Calca is an incredibly promising new way to work with math and text together on your Mac, one that's even more surprising than FoldingText's text-based timer and other plain text innovations we've seen recently. It's really, really impressive, and is an app you'll have to try out if you use math often at all.
It's already got a companion iPad app — one that actually came slightly before the Mac version — and iCloud sync, so it's one of the best ways to calculate and keep your thoughts straight at the same time, anywhere you are.
Calca
Reviewed by Matthew Guay on
Jul 19.
A Markdown text editor and computer algebra system happily married together, Calca lets you compute naturally. A text editor for engineers, one that's still a math app for the rest of us.
Rating:
9 out of
10 |
In 1770, one of the founders of pure mathematics, Swiss mathematician Leonard Euler (1707-1783), published Elements of Algebra, a mathematics textbook for students. This edition of Euler's classic, published in 1822, is an English translation which includes notes added by Euler's tutor, Johann Bernoulli, and additions by Joseph-Louis Lagrange, both giants in eighteenth-century mathematics, as well as a short biography of Euler. Part 1 begins with elementary mathematics of determinate quantities and includes four sections on simple calculations (adding, subtracting, division, multiplication), and then progresses to compound calculations (fractions), ratios and proportions and algebraic equations. Part 2 consists of 15 chapters on analyses of indeterminate quantities. Here, Euler shows the reader several ways to solve polynomial equations up to the fourth degree. This landmark book showed students the beauty of mathematics, and more significantly, how to do it.
Editorial Reviews
Review
"This is a facsimile reprint of John Hewlett's 1840 translation of Euler's Algebra and Lagrange's Additions thereto. Most of Euler's contribution is elementary, nothing more advanced than solving quartic equations, but worth having in order to appreciate his leisurely and effective style---would that more great mathematicians wrote so well and to such pedagogic effect. However, one third of the book is his lucid treatment of questions in number theory, and it is this material that drew Lagrange's comments. Here for the first time are the rigorous treatments of continued fractions and "Pell's" equation, and of quadratic forms. The combination of Euler's and Lagrange's tests, of experimental and theoretical research in Weil's description, is justly celebrated by the editors of Euler's Opera omnia, who print the two together, and it is good to see this classic back in print in English. Every library without much Euler should at least have this volume. It is accompanied by an excerpt of Horner's memoir on the life of Euler, and a eulogy by Truesdell, with a useful bibliography." -- MATHEMATICAL REVIEWS
Most Helpful Customer Reviews
Elements of Algebra by Leonhard Euler is in a class all its own. His masterful exposition of rudimentary and not-so-rudimentary algebra is extraordinarily clear and notably readable. The problems that Euler designed are both profoundly elegant and in-depth. A percentage of each of his problem sets is relatively straightforward while other problems require some attentive thought. If one is interested in becoming a proficient algebraist in the classical sense, then Euler's work will greatly facilitate this objective. If one simply desires to 'read' mathematics for the sheer pleasure of it, this book will fulfill that aim.
By the way, the other reviewer's one-star rating has to do with a softcover and edited edition of this work. |
text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet's Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.
Editorial Reviews
Review
"This book is very well writen, pleasant to read, with many good illustrations. It deals with the core of the subject, nothing more and nothing less. Simply a recommendation for anyone who wants to teach or learn about the Riemannian geometry." Nieuw Archief voor Wiskunde, September 2000
Most Helpful Customer Reviews
By all accounts, this and Dr. Lee's other two books on manifolds are exceptionally well-written. But my copies arrived from Amazon this week, and, unfortunately, Amazon and Springer have decided to replace the crisp offset-printing of earlier printings by lower quality digitally-printed versions, probably as a cost-cutting measure.
If you care about how books look, I'd suggest trying Amazon marketplace or small retailers elsewhere to increase your odds of getting a superior copy from an earlier printing.
I've taught an introductory differential geometry course from Lee's book, and in retrospect Do Carmo's "Riemannian Geometry" would have been a better choice. To be fair Lee does masterful job introducing basic concepts from curvature to Jacobi fields, but here are a few things I disliked. The book assumes working knowledge of smooth manifolds and Lie brackets, while many students need review of the former, and know nothing of the latter. Lee doesn't give enough examples beyond constant curvature spaces: there is virtually no mention of warped products, Riemannian submersions, Lie groups, or homogeneous spaces. Exercises are few, unmotivated, and their difficulty is in stark contrast with the easiness of the main text. I feel Do Carmo's book is superior in all respects, and last time I checked it was not much more expensive.
I used this book to teach about half a year of a graduate Riemannian manifolds course. It is a very good introductory text. I wish it has a bit more background on curves and surfaces, but otherwise it was excellent. It doesn't get into a lot of more advanced topics, but the treatment of Jacobi fields and so forth is really good.
I just got this fella, and I'm really just through the first four chaptors but so far I'm very pleased. He really tries to tie the definitions and theorems to something you can think about. He gives three "model spaces", the n-sphere, R^n, and hyperbolic space and keeps coming beck to them as he does new things. I like that after he defines connections he shows some in R^n. You know, things like that. Anyway, I'm not a specialist but this seems to me as good an introduction to Reimannian curvature as you could ask for. At least as good in my opinion as Del Carmo's book.
So thanks again Dr. Lee. You keep writing them and we'll keep reading them.
Prof. Lee sets the norm of mathematical exposition. I would give it 5 stars if it were more comprehensive. There is so much to say about Riemannian manifolds and it would be a pleasure to see them under the light the author sheds on such subtle concepts. One very nice feature of the book that underlies its structure is that it uses four theorems - pillars of Riemannian geometry as a guide of what should be included. This approach, besides improving considerably the organization of the book as compared to other books on the subject, it also motivates the reader who now has a target in his mind, namely the proofs of these important theorems. It is really nontrivial to introduce people to mathematical areas as broad as Riemannian geometry. Also, useful suggestions are given in the preface for further reading. |
Sets
The STACK system is a computer aided assessment package for mathematics, which provides a question type for the Moodle quiz. In computer aided assessment (CAA), there are two classes of question types.
Selected response questions In these questions, a student makes a selection from, or interacts with, potential answers which the teacher has selected. Examples include multiple choice, multiple response and so on.
Student-provided answer question In these questions the student's answer contains the content. It is not a selection. Examples of these are numeric questions.
STACK concentrates on student-provided answers which are mathematical expressions. For example, a student might respond to a question with a polynomial or matrix. Essentially STACK asks for mathematical expressions and evaluates these using computer algebra. The prototype test is the following pseudo-code.
STACK uses a computer algebra system (CAS) to implement these mathematical functions. A CAS provides a library of functions with which to manipulate students' answers and generate outcomes such as providing feedback. Establishing algebraic equivalence with a correct answer is only one kind of manipulation which is possible.
Using CAS can also help generate random yet structured problems, and corresponding worked solutions.
In STACK a lot of attention has been paid to allowing teachers to author and manage their own questions. The following are the key features.
Question versions are randomly generated within structured templates.
There are many different kinds of inputs. These are, for example, where the student enters a mathematical expression, or makes a true/false selection.
Mathematical properties of students' answers are established using answer tests within the CAS Maxima.
Feedback is assigned on the basis of these properties using a potential response tree. This feedback includes:
Textual comments for the student.
A numerical mark.
Answer notes from which statistics for the teacher are compiled.
These broadly correspond to formative, summative and evaluative functions of assessment. Which of these outcomes is available to the student, and when, is under the control of the teacher.
Multi-part mathematical questions are possible: each question may have any number of inputs and any number of potential response trees. There need not be a one-to-one correspondence between these.
Partial credit is possible when an expression only satisfies some of the required properties.
Plots can be dynamically generated and included within any part of the question, including feedback in the form of a plot of the student's expression.
Comments
Hi Christopher.
I must confess I am only a veterinary pathologist who enjoys translating Moodle into spanish, and it's been 30 years since I took calculus, but one English language string in qtype_stack seemed odd to me:
2.4 [ddl_empty,qtype_stack] "No choices were provided for this drop-down. Please input a set of values link a,b,c,d"
I wonder if the word "link" should not really be "like".
I apologize if am asking a silly question and I thank you in advance for your help.
Hi,
I tried to instal the plugin several times. I think I followed step by steps the instructions but when running STACK healthcheck I get the message:
The version of the STACK-Maxima libraries being used (So old the version is unknown!) does not match what is expected (2012122800) by this version the the STACK question type. It is not really clear how that happened. You will need to debug this problem yourself.
And CAS result
Warning, empty result!
unpack_raw_result: no results were returned by the CAS.
It looks to me like PHP could not start a CAS process at all. Hence, there is no version number being returned. If you email me the HTML page you get back from the healthcheck, and let me know a little about your system I will be able to help more.
If you are on unix you need to ensure maxima is installed and working. Try the command line "maxima".
Malik, STACK conforms exactly to the normal Moodle system of language strings for plugins. E.g. Please do get involved in translating STACK. This would be very welcome. If you need STACK specific changes, e.g. splitting up strings for any reason, please let me know. Chris
Is it possible to have a subscript in a student answer? For example, I'd like to have as an answer ta: 1/(4*pi*epsilon[0])*q/r^2 (Coulomb's law for a point charge). When I preview the question, the epsilon[0] renders correctly as the Greek letter epsilon with a subscript zero, but STACK rejects this when entered as the answer with the message "map: improper argument: epsilon[0]". Is there any way to allow a student to enter a subscript?
HI Chris, sorry to keep bothering you. Getting ready for the new quarter by writing new STACK questions! I have a question about plotting:
I'm using STACK 2014032800 (installed via git). None of my plots are showing grid lines; they do show zero lines. ("The grid has been changed by adding the gnuplot commands set zeroaxis, set grid. This adds more grid lines than Maxima's default...") I am using Gnuplot 4.2.6 and Maxima 5.32.1 (I compiled Maxima on my OSX Lion machine, but not gnuplot):
STACK_SETUP(ex):=block(
MAXIMA_VERSION_NUM:31.3,
TMP_IMAGE_DIR:"/Library/WebServer/moodledata/stack/tmp/",
IMAGE_DIR:"/Library/WebServer/moodledata/stack/plots/",
PLOT_TERMINAL:"png",
PLOT_TERM_OPT:"large transparent size 450,300",
DEL_CMD:"rm",
GNUPLOT_CMD:"/Applications/Gnuplot.app/Contents/Resources/bin/gnuplot",
MAXIMA_VERSION:"5.31.3",
URL_BASE:"!ploturl!",
true)$
/* We are using an optimised lisp image with maxima and the stack libraries
pre-loaded. That is why you don't see the familiar load("stackmaxima.mac")$ here. */
Any insight as to why grid lines are not showing up? In case it's relevant, changing [nticks] has no effect, either. |
A Handbook of Real Variables -
Summary: The subject of real analysis dates to the mid-nineteenth century - the days of Riemann and Cauchy and Weierstrass. Real analysis grew up as a way to make the calculus rigorous. Today the two subjects are intertwined in most people's minds. Yet calculus is only the first step of a long journey, and real analysis is one of the first great triumphs along that road. In real analysis we learn the rigorous theories of sequences and series, and the profound new insights that these tools make possible. ...show moreWe learn of the completeness of the real number system, and how this property makes the real numbers the natural set of limit points for the rational numbers. We learn of compact sets and uniform convergence. The great classical examples, such as the Weierstrass nowhere-differentiable function and the Cantor set, are part of the bedrock of the subject. Of course complete and rigorous treatments of the derivative and the integral are essential parts of this process. The Weierstrass approximation theorem, the Riemann integral, the Cauchy property for sequences, and many other deep ideas round out the picture of a powerful set of tools. ...show less
2012 |
This app covers the following topics applicable to Multivariable Calculus, Advanced Calculus, and Vector Calculus:
- Evaluate any numeric expression, or substitute a value for a variable - Plot 2D or 3D functions of your choice - Determine the limit of a function as it approaches a specific value or values - Differentiate any single or multivariable function - Find the critical points and saddle points of a function - Calculate the gradient of a function - Identify the local extrema of a function - Find the single, double, or triple integral of a function - Determine the dot or cross product of two vectors - Calculate the divergence or curl of a vector field
Stay up to date with the latest version, and see the additions of directional derivatives, line integrals, surface integrals, arc length, and curvature!' |
Elementary Linear Algebra - 6th edition
ISBN13:978-0618783762 ISBN10: 0618783768 This edition has also been released as: ISBN13: 978-0547004815 ISBN10: 0547004818
Summary: The cornerstone of Elementary Linear Algebra is the authors' clear, careful, and concise presentation of material--written so that students can fully understand how mathematics works. This program balances theory with examples, applications, and geometric intuition for a complete, step-by-step learning system.The Sixth Edition incorporates up-to-date coverage of Computer Algebra Systems (Maple/MATLAB/Mathematica); additional support is provided in a corresponding tec...show morehnology guide. Data and applications also reflect current statistics and examples to engage students and demonstrate the link between theory and practice.38.61 +$3.99 s/h
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Introduction to Algebra - 2nd edition
ISBN13:978-0198527930 ISBN10: 0198527934 This edition has also been released as: ISBN13: 978-0198569138 ISBN10: 0198569130
Summary: Developed to meet the needs of modern students, this Second Edition of the classic algebra text by Peter Cameron covers all the abstract algebra an undergraduate student is likely to need. Starting with an introductory overview of numbers, sets and functions, matrices, polynomials, and modular arithmetic, the text then introduces the most important algebraic structures: groups, rings and fields, and their properties. This is followed by coverage of vector spaces and ...show moremodules with applications to abelian groups and canonical forms before returning to the construction of the number systems, including the existence of transcendental numbers. The final chapters take the reader further into the theory of groups, rings and fields, coding theory, and Galois theory. With over 300 exercises, and web-based solutions, this is an ideal introductory text for Year 1 and 2 undergraduate students in mathematics.Oxford, England 2008 Trade paperback 2nd ed. Very Good. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. ...show moreTrade paperback (US). Glued binding. 34229 +$3.99 s/h
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PsychoBabel Books Abingdon,
Oxford 2008 paperback Second Edition As New Used Paperback, as-new, minor shelfwear only. Contents clean, sound, bright. TPW. *****PLEASE NOTE: This item is shipping from an authorized seller in Eur...show moreope. In the event that a return is necessary, you will be able to return your item within the US. To learn more about our European sellers and policies see the BookQuest FAQ section***** ...show less
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SLAE Solver - SLAE SOLVER allows to find on a personal computer high accuracy solutionsSLAE SOLVER allows to find on a personal computer high accuracy solutions of linear algebraic systems with N equations, where N may reach hundreds or thousands
Alphabet Flash Cards - Learning the alphabet can be confusing to toddlers.Learning the alphabet can be confusing to toddlers. Alphabet Flash Cards helps parents teach the alphabet to their children by removing all unnecessary distractions and by focusing on the main...
Quick Guide to English Verbs - Free English4Today studyGuide: Guide to English language verbs and tenses with optional online support materials and exercises. Part of a series of free studyGuides developed by English4Today.com for school, college,university and EFL...
Satellite Antenna Alignment - The program "Satellite Antenna Alignment" is used to calculate the angles necessary for installing satellite dishes. The main difference from similar software is the possibility to calculate the position for all satellites at once.The program... |
Algebra in primary and secondary schools is often divided into two classes meant to nurture development from the concrete mathematics of arithmetic accounting towards an abstract understanding of the behavior of mathematical concepts including numbers, operations, relations, and functions. The s |
Math.NET aims to provide a self contained clean framework for symbolic mathematical (Computer Algebra System) and numerical/scientific computations, including a parser and support for linear algebra, complex differential analysis, system solving and more |
More About
This Textbook
Overview
Experience mathematics—and develop problem-solving skills that will benefit you throughout your life—with THE NATURE OF MATHEMATICS. Karl Smith introduces you to proven problem-solving techniques and shows you how to use these techniques to solve unfamiliar problems that you encounter in your day-to-day world. You'll find coverage of interesting historical topics, and practical applications to real-world settings and situations, such as finance (amortization, installment buying, annuities) and voting. With Smith's guidance, you'll both understand mathematical concepts and master the techniques.
Editorial Reviews
Booknews
This textbook for the general university competency requirement in mathematics relates the nature of logic, numbers, algebra, geometry, sequences, probability, statistics, and graphs. The ninth edition adds material on the history of mathematics, right triangle trigonometry, perimeter, surface area, exponential equations, logarithmic equations, derivatives, and integrals. Annotation c. Book News, Inc., Portland, OR booknews.com
Meet the Author
Karl Smith is professor emeritus at Santa Rosa Junior College in Santa Rosa, California. He has written over 36 mathematics textbooks and believes that students can learn mathematics if it is presented to them through the use of concrete examples designed to develop original thinking, abstraction, and problem-solving skills. Over one million students have learned mathematics from Karl Smith's |
Get everything you need for a successful and pain-free year of learning math! This kit includes Saxon's 3rd Edition Math 8/7 textbook, solutions manual, and tests/worksheets book, as well as the DIVE Math 8/7 CD-ROM. A balanced, integrated mathematics program that has proven itself a leader in the math teaching field, Math 8/7 covers concepts such as arithmetic calculation, measurements, geometry and other skills are reviewed, while new concepts such as pre-algebra, ratios, probability and statistics are introduced as preparation for upper level mathematics.
The DIVE software teaches each Saxon lesson concept step-by-step on a digital whiteboard, averaging about 10-15 minutes in length; because each lesson is stored separately, you can easily move about from lesson-to-lesson as well as maneuver within the lesson you're watching. DIVE teaches the same concepts as Saxon, but does not use the problems given in the text; it cannot be used as a solutions guide. |
Numerical Mathematics and Computing - 7th edition
Summary: 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. NUMERICAL MATHEMATICS AND COMPUTING, 7th Edition also helps students learn about errors that inevitably accompany scientific computations and arms them with methods for detecting, predicting, and controlling these errors103715215 |
Find a Bedford ParkI can help you navigate through the community college route and ensure you're on a path to land you in the best possible place.I took two courses in Discrete Math where we covered combinatorics, graph theory, propositional logic, singly-quantified statements, operational knowledge of set theory, ... |
books.google.com - Most... essentials
Probability essentials
Most through the basics of Martingale theory in a lean, directed manner. It is perfect for those needing a quick grounding in probability theory in order to move on to more advanced topics useful in applied areas such as finance, economics, electrical engineering, and operations research. |
Consumer Math Elective
Course Length
2 semesters
Available in
Ignitia
Switched-On Schoolhouse
LIFEPAC
This practical math elective trains students in mathematical applications used in everyday situations. Consumer math includes real-world examples and an emphasis on critical thinking skills to solve problems. Topics in the first semester of this course from our online academy include an overview of basic math skills, personal finance skills, statistics and home recordkeeping, taxes, insurance, and banking services.
Building financial literacy, this course from our online academy's second semester includes topics such as credit cards and loan interest, purchasing items, discounts and markups, travel and transportation costs, vacation spending, retirement planning, and job related services. Encouraging solid financial habits, consumer math is essential for success in adulthood no matter students' desired career paths. Each unit of the course contains quizzes and a test to evaluate progress and student mastery.
Additional Details
Ready to Get Started with Our Online Academy?
Alpha Omega Academy has year-long open enrollment, so you can start this course at any time! Visit the tuition page of our online academy to learn more about pricing or click the button below to get started with enrollment today. Have questions first? Call us at 800.682.7396.
I just want to take the time to say THANK YOU! I am praising the Lord daily for how things are going for us with Alpha Omega! The academy [is] working wonderfully for us. I am thoroughly enjoying my new role as helper and encourager instead of mistake-finder. The immediate feedback is something I've always thought should be inherent in homeschooling, but I was never able to make it work. Now ...more, my kids are getting that! The flexibility of the scheduling in Switched-On Schoolhouse is incredible. And although I never really tested my children before, I can see that the quizzes and tests are motivating them to take their education more seriously.
So even after a summer full of stress (and worry), with placement tests, the filing away of years of a much-loved literature-based curriculum, and applications for transfer credits, I am rejoicing now! It's been worth it all. Josiah, my oldest, high school junior, night-owl, dyslexic, procrastinating, computer-programmer, who still can't spell to save his life, is finishing his lessons in a timely fashion each day and not whining about his writing assignments. And from what I've seen, he's doing well! Our newly adopted 13-year-old son from Liberia is starting to take his schooling more seriously; seeking to understand, instead of just finish! Isaac, my organized, book-loving freshman appreciates the structure, finishes early and has time to read the books he wants to. And Abigail, who's been organized and diligent, but uninterested in understanding concepts, is taking notes and learning how to study!
Thanks for your part--sharing, encouraging, explaining, reassuring. God is at work in our family. You watered and tended a seed someone else planted. God has grown it to a seedling, and I'm looking forward to watching it grow and produce fruit in our family!
Kim H. |
This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.
Review:
The book recently won First Prize in the National Jesuit Book Award Contest for the best mathematics or computer science book published in 1994, 1995, or 1996.
Book Description:Fairlawn, New Jersey, U.S.A.: Clarendon Pr, 1997. Soft cover. Book Condition: New. Dust Jacket Condition: New. 1st66020543 |
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Math Lab for Cooperative Learning (JH 316)
Math Lab for Cooperative Learning
Tutoring Services
The primary purpose of the Math Lab for Cooperative Learning (Math Lab) is for any students to receive tutoring for any math course offered at Northwest Vista College.
This lab provides students with a place to work either individually or with a group. Student may come in with homework questions, quiz corrections, test reviews, and test corrections and recieve some assistance.
Students are free to stay in the lab for as long as they would like. For students taking a developmental math course, this is the primary lab for students to complete their required 800 minutes of lab time.
This service is available for Northwest vista College students at no additional charge. Students can visit the lab in Juniper Hall, Room 316 (JH 316) and have the next available tutor assist them. |
Essentials of Mathematics for Elementary Teachers - 6th edition
Summary: Appropriate Topical Sequence: Moves from the concrete to the pictorial to the abstract, reflecting the way math is generally taught in elementary schools. Problem Solving Emphasis: Features the largest collection of problems (over 2200), worked examples, and problem-solving strategies in any text of its kind. Applications: Statistics and probability receive a thorough treatment at an appropriate level. Geometry Coverage: The treatment of two and three dimensional...show more shapes is based on the van Hiele model. Measurement is treated extensively in both the metric and customary systems. Integrated Technology: Technology is integrated throughout the text in a meaningful way. The technology includes activities from the expanded eManipulative activities, spreadsheet activities, Geometer's Sketchpad activities, and calculator activities using a graphics calculator and Math Explorer99 +$3.99 s/h
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Courses in Mathematics
MATH-K 300 Statistical Techniques (3 cr)
An introduction to statistics. Nature of statistical data; ordering and manipulation of data; measures of central tendency and dispersion; elementary probability. Concepts of statistical inference decision; estimation and hypotheses testing. Special topics discussed may include regression and correlation, analysis of variance, non-parametric methods. Credit given for only one of the following: MATH K300, MATH K310, PSY K300, PSY K310, ECON E270, SPEA K300. Offered fall and spring semesters.
Prerequisite: M123
Suggested prerequisite: M118
MATH-M 110 Excursions into Mathematics (3 cr)
A course designed to convey the flavor and spirit of mathematics, stressing reasoning and comprehension rather than technique. Not preparatory to other courses; explores topics in the theory of games, probability, and statistics. This course does not count toward a major in mathematics.
Prerequisite: Appropriate placement on skills review, or High School Algebra
This course is last offered in Summer 2013. As of Fall 2013, it is replaced by MATH-H111.
FX policy is available for the MATH-M110 - MATH-H111 pair.
MATH-B111 Mathematics for Business (3 cr)
With successful
completion of this course, the student will have algebraic
skills and tools that are used for problem-solving in the
business professions and be prepared for MATH-M118 (Finite
Mathematics) and ECON-E270 (Statistics).performing algebraic operations on polynomial, rational,
radical expressions in one/several variables; development of
mathematical model from a word problem; application of these
algebraic concepts and skills in business applications. Offered every Fall and Spring Semester.
Prerequisite:HS Algebra 2 or Skills Review Test.
Credit
not given for both MATH-B111 and MATH-M123 or MATHN111.
MATH-E111 Mathematics for Elementary Education (3 cr)
Designed for the
elementary education student to develop skills in the use of
numeration systems, number theory, set theory, logic,
networks, systems of equations, and geometry. These skills
will be useful in future teaching assignments and for passing
the State of Indiana Praxis exam. The purpose of Math-E111 is
to provide the students with knowledge of the concepts, theories, and procedures in the mentioned areasOpen only to Elementary Education Majors
MATH-H111 Mathematics for the Humanities (3 cr)
Designed for the
humanities student to provide a variety of topics in
mathematics, including, but not limited to: numeration
systems; geometry; financial management; statistics; set
theory. The course also provides a general, historical
perspective of mathematics and development of practical application skills. Emphasis will be placed on mathematical
modeling and solving word problemsAs of Fall 2013 this course replaces MATH-M110.
May use this course to FX a previously taken MATH-M110.
MATH-N111 Mathematics for Nursing (3 cr)
With successful
completion of this course, the student will have algebraic skills and tools that are used for problem-solving in the
nursing profession and be prepared for NURS-H355 (Data Analysis) and the nursing math test.solving direct/indirect variation and proportion equations; use
of dimensional analysis; development of mathematical model
from a word problem; application of these algebraic concepts
and skills in nursing applications.Offered every Fall and Spring semester.
A mathematics laboratory course to be taken concurrently
with MATH-B111 or MATH-N111. (See course description for
MATH-B111 or MATH-N111.) Designed to prepare you for
MATH-M118 and statistics. Not distribution satisfying. Offered
every semester.
Co-requisite: MATH-B111 or MATH-N111.
MATH-X111 Topics in Mathematics for Non-Majprs (1-3 cr)
Designed to
provide a variety of topics in mathematics, including, but not
limited to: geometry; financial management; statistics; set
theory; voting methods;celestial navigation; math of ancient
civilizations . The course also provides a general, historical
perspective of mathematics and development of practical
application skills. Emphasis will be placed on mathematical
modeling and solving word problems. Offered periodically.
Prerequisite: HS Algebra 2 or Skills Review Test.
May be repeated with different topic.
MATH-M 118 Finite Mathematics (3 cr)
Set theory, linear systems, matrices and determinants, probability, and linear programming. Applications to problems from business and the social sciences. Offered every semester.
Prerequisite: Appropriate placement on skills review or M123
MATH-M 119 Brief Survey of Calculus I (3 cr)
An introduction to calculus primarily for students in business and the social sciences. Credit not given for both M119 and M215. Offered every summer.
MATH-M 120 Brief Survey of Calculus II (3 cr)
A continuation of M119 covering topics in elementary differential equations, calculus of functions of several variables, and infinite series. Intended for non-physical science students. Credit not given for both M216 and M120. No regular course offering.
Prerequisite: M119
MATH-M 123 College Algebra (4 cr)
Designed to prepare you for M125 High School Algebra.
MATH-L 123 College Algebra Laboratory (2 cr)
Designed to prepare you for M125. Laboratory component to be taken concurrently with M123. (See course description above.) Not distribution satisfying. Offered every semester.
Corequisite: M123.
MATH-M 125 Pre-Calculus Mathematics (3 cr)
Designed to prepare you for M215 M123.
MATH-M 126 Trigonometric Functions (2 cr)
Designed to prepare you for M215. Trigonometric functions; identities. Graphs of trigonometric and inverse trigonometric functions. Offered every semester.
Prerequisite: M125 or equivalent (may be taken concurrently).
MATH-M 215 Analytic Geometry and Calculus I (5 cr)
Coordinates, functions, straight lines, limits, continuity, derivatives, definite integral. Credit not given for both M119 and M215, or M120 and M216. Offered every fall, spring and summer.
Prerequisite: Appropriate placement on skills review or both M125 and M126.
MATH-M 216 Analytic Geometry and Calculus II (5 cr)
Definite integral, applications, circles, conics, techniques of integration, and infinite series. Credit not given for both M119 and M215, or M120 and M216. Offered every spring and summer.
This course is a contunuation of MATH-M215.
Prerequisite: Appropriate placement on skills review or MATH-M216
MATH-M 295 Readings and Research (1-3 cr)
Supervised problem solving. Offered periodically.
Prerequisite: Permission of a member of the mathematics faculty, who will act as supervisor.
MATH-M 301 Applied Linear Algebra (3 cr)
Emphasis on applications: systems of linear equations, vector spaces, linear transformations, matrices, simplex method in linear programming. Computer used for applications. Credit not given for both M301 and M303. Offered periodically.
Prerequisite: M216 or consent of instructor.
MATH-M 303 Linear Algebra for Undergraduates (3 cr)
Introduction to theory of real and complex vector spaces. Coordinate systems, linear dependence, and bases. Linear transformations and matrix calculus. Determinants and rank. Credit not given for both M301 and M303. Offered every spring.
Prerequisite: M216 or consent of instructor.
MATH-M 311 Calculus III (3 cr)
Elementary geometry of 2, 3, and n-space, functions of several variables, partial differentiation, minimum and maximum problems, and multiple integration. Offered every fall and summer.
MATH-M 313 Elementary Differential Equations with Applications (3 cr)
Ordinary differential equations of first order and linear equations of higher order with applications, series solutions, operational methods, Laplace transforms, and numerical techniques. Offered every summer.
MATH-M 371 Elementary Computational Methods (3 cr)
Interpolation and approximation of functions, solution of equations, numerical integration, and differentiation. Errors, convergence, and stability of the procedures. You will write and use programs applying numerical methods. Offered fall of odd years.
Prerequisite: M216 and CSCI C301 or equivalent, or consent of instructor.
MATH-M 380 History of Mathematics (3 cr)
Brief study of the development of algebra and trigonometry; practical, demonstrative, and analytic geometry; calculus, famous problems, calculating devices; famous mathematicians in these fields and chronological outlines in comparison with outlines in the sciences, history, philosophy, and astronomy. Offered every fall.
Prerequisite: M215 or consent of instructor.
MATH-M 393 Bridge to Abstract Mathematics (3 cr)
Preparation for 400 level math courses. Teaches structures and strategies of proofs in a variety of mathematical settings: logic, sets, combinatorics, relations and functions and abstract algebra. Offered every spring.
Prerequisite: Math M216 or consent of instructor.
MATH-M 403 Introduction to Modern Algebra I (3 cr)
Study of groups, rings, fields (usually including Galois theory), with applications to linear transformations. Offered spring of even years.
MATH-M 422 Introduction to Topology II (3 cr)
MATH-M 447 Mathematical Models and Applications I (3 cr)
Formation and study of mathematical models used in the biological, social, and management sciences. Mathematical topics include games, graphs, Markov and Poisson processes, mathematical programming, queues, and equations of growth. Offered fall of even years.
Prerequisites: M301 or M303, M311, and a course in probability or consent of instructor.
MATH-M 448 Mathematical Models and Applications II (3 cr)
Formation and study of mathematical models used in the biological, social, and management sciences. Mathematical topics include games, graphs, Markov and Poisson processes, mathematical programming, queues, and equations of growth. No regular offerings.
Students integrate their study of mathematics and explore the
connections within fields of mathematics and other disciplines. Students
usually create a portfolio that showcases their understanding of the areas
of study within mathematics and their applications outside of
mathematics. Alternatives may include internships or other projects, as
approved by advisor. Offered every spring.
Prerequisite: Senior standing as a Mathematics Major.
Mathematics for Educators
MATH-T 101 Mathematics for Elementary Teachers I (3 cr)
Elements of set theory. Operations on counting numbers, integers, rational numbers, and real numbers. Open only to elementary education majors. Not distribution satisfying.
The sequence MATH-T101-T102-T103 has been replaced by EDUC-E102 and MATH-E111. Please see advisor in education for details.
MATH-T 102 Mathematics for Elementary Teachers II (3 cr)
Sets, operations, and functions. Prime numbers and elementary number theory. Elementary combinatorics, probability, and statistics. Only open 103 Mathematics for Elementary Teachers III (3 cr)
Descriptions and properties of basic geometric figures. Rigid motions. Axiomatics. Measurement, analytic geometry, and graphs of functions. Discussion of modern mathematics. Open only 321 Intuitive Topology (3 cr)
Intuitive description of topology, including networks and maps, topological equivalence, classification of surfaces, spheres with handles, Jordan curve theorem, transformations, and fixed-point theorems. Offered summer of even years.
Prerequisite: M216 or consent of instructor.
MATH-T 336 Topics in Euclidean Geometry (3 cr)
Axiom systems for the plane; the parallel postulate and non-Euclidean geometry; classical theorem. Geometric transformation theory; vectors and analytic geometry; convexity; theory of area and volume. Offered summer of odd years.
Prerequisite: M216 or consent of instructor.
MATH-J497 Internship in Teaching Collegiate Mathematics (1-3 cr)
Designed to provide an opportunity for students to teach
basic algebra and observe with discussion instructional
techniques at the collegiate level in preparation for further career development in teaching at a post-secondary level.
A seminar course for students in the M.A.T. program.
Emphasis on the interrelationship among mathematical topics,
curriculum reform, professional growth, and classroom
practice. Specific topic selected jointly with the instructor.
Open only to M.A.T. students.
MATH-J597 Internship in Teaching Collegiate Mathematics (1-3 cr)
Designed to provide an opportunity for students to
teach 100 and 200 level undergraduate math courses and
observe with discussion instructional techniques at the
collegiate level in preparation for further career development
in teaching at a post-secondary level. |
Pre-Calculus Gr. 9-12
Pre-calculus is the bridge between Algebra II and Calculus, and is a great way to get acquainted with ideas like function and rate of change. Analyze angles and geometric shapes to find absolute values. Discover new ways to record solutions with interval notation, and plug trig identities into your equations |
Saturday, April 6, 2013
-Factoring polynomials of degree greater than two.
-Rational expressions with more than two terms in the numerator and denominator.
-Multiplication of more than two polynomials or of polynomials that contain more than two terms.
-Polynomial long division and other multi-step methods for simplifying multi-termed rational expressions.
-Systems of equations that involve more than two variables.
-Problems that require manipulation of polynomials in order to simplify them or convert them to special (often abstract) patterns--e.g., by adding/subtracting the same term to different parts of the expression/equation, or by rearranging terms and grouping them together in a structural hierarchy (see the second problem set in last week's Problems of the Week).
-Word problems requiring students to define multiple variables and set up multiple equations.
Not only is much of Reform algebra limited to one or two terms, one or two variables, powers of one or two, and problems involving only one or two steps; many of the problems only require students to plug in numbers or push buttons on their graphing calculators. Essentially, Reform algebra doesn't get you much beyond Reform arithmetic.
Luckily, some students are still using more traditional algebra texts. But this means there's great variation in what different students are learning in the name of "algebra"--the focus of an article in this week's Education Week. It describes a study by the National Center of Education Statistics of high school algebra and geometry courses that analyzed transcript data from 17,800 students and content data from "120 Algebra I, Geometry, and integrated math textbooks used at the 550 public schools those students attended." Its conclusion:
Students taking Algebra 1 and Geometry classes are getting considerably less substance than their course titles would suggest.
...
The study found that, on average, two-thirds of topics covered in Algebra 1 and Geometry courses focused on core content topics in each of those subjects, while the other third covered topics in other math areas. Researchers also gauged the rigor of classes based on the topics and questions covered in each book. A course categorized by researchers as beginner-level algebra had more than 60 percent of its material on elementary and middle school math topics such as basic arithmetic and pre-algebra problems such as basic equations. By contrast, a rigorous Algebra 1 courses included more than 60 percent of material on advanced topics such as functions and advanced number theory, as well as other higher-level math subjects such as geometry, trigonometry, and precalculus.
"We found that there is very little truth-in-labeling for high school Algebra 1 and Geometry courses," said Sean P. "Jack" Buckley, the NCES commissioner, in a statement on the study.
...
For example, a student taking a rigorous Algebra 1 course covered 11 topics in advanced number theory, compared with only six for students in courses with the same name that researchers classified as beginner- and intermediate-level classes. A student in an Algebra 1 class ranked by the study as beginner-level had no exposure to advanced functions, and more than a quarter of the class was devoted to basic arithmetic and pre-algebra. A student in a rigorous Geometry class likewise covered significantly more topics in coordinate and vector geometry, and significantly fewer topics in basic arithmetic and pre-geometry, than a student in a beginner-level Geometry class.
The article turns to what this means, not for the worthiness of today's Reform books, but for the racial/ethnic achievement gap. It observes that, while differences in how many math credits appear on the transcripts of white vs. black graduates have narrowed, differences in what different ethnic groups are actually learning is another story:
There were no significant differences in the proportion of students of different racial groups who took rigorous Algebra 1 courses—roughly a third of each group—though Hispanic and Asian and Pacific Islander students were more likely than other groups to take beginner-level algebra courses. However, the NCES found that more white students in honors Geometry classes, 37 percent, covered rigorous topics, compared with 21 percent of black and 17 percent of Hispanic students in similarly titled classes.
Perhaps our math texts should be less concerned with multiculuralism, and more with multiplication, unlike what this Integrated Math textbook index (reposted from last week's Problems of the Week) suggests:
4 comments:
We had this argument with one of our kid's schools. They said they teach algebra in 8th, we said that if you look at the sequence, it made it impossible to get to calculus in high school with their 8th-grade algebra curriculum. There was an extra year in the sequence that basically spread algebra out another year. They could claim to teach it, while most parents didn't bother to notice the limitations.
Yep, noticed that here when I saw the quadratic formula wasn't included in Integrated Algebra 1.
Same thing has happened in elementary. Many units discarded in favor of inclusion.
It's all about gap closing by preventing anyone from 'getting ahead'.
The next 'keep 'em down on the farm' action is to reject the CC math courses that students in diverse public high schools are forced to take at their own expense in lieu of rigorous college prep courses, which were cancelled in order to provide more double period algebra one courses plus remedial courses. Many non-state colleges do not accept transfer credit from dual enrollment CC courses held on the high school campus - which in some schools is the only way to cheaply take PreCalculus, Calculus, and Diff. Equations. And rightly so, as these classes are half review of the prior class in order to be inclusive and do not cover sufficient material.
Hi Cheryl, I'm less up on good contemporary algebra books than others are (commenters, please weigh in!), but I've heard from many people who have recommended that Art of Problem Solving. |
A unique online parsing system that produces partial-credit scoring of students' constructed responses to mathematical...
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A unique online parsing system that produces partial-credit scoring of students' constructed responses to mathematical questions is presented. The parser is the core of a free college readiness website in mathematics. The software generates immediate error analysis for each student response. The response is scored on a continuous scale, based on its overall correctness and the fraction of correct elements. The parser scoring was validated against human scoring of 207 real-world student responses (r = 0.91). Moreover, the software generates more consistent scores than teachers in some cases. The parser analysis of students' errors on 124 additional responses showed that the errors were factored into two groups: structural (possibly conceptual), and computational (could result from typographical errors). The two error groups explained 55% of students' scores variance (structural errors: 36%; computational errors: 19%). In contrast, these groups explained only 33% of the teacher score variance (structural: 18%; computational: 15%). There was a low agreement among teachers on error classification, and their classification was weakly correlated to the parser's error groups. Overall, the parser's total scoring closely matched human scoring, but the machine was found to surpass humans in systematically distinguishing between students' error patternsCalc XT is a full feature scientific calculator for iPad. It turns your iPad into a life-size realistic calculator. In...
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'Calc XT is a full feature scientific calculator for iPad. It turns your iPad into a life-size realistic calculator. In landscape mode, a memo pad is also available that you can jot note easily.''- Most scientific calculator features.- Automatically save states while application quits and restore while application restarts.- Different output mode. Normal, Scientific, Fixed, Engineering Mode.- Memo pad, with pen, highlight and eraser.- Copy to pasteboard or mail the memo.- Click on the digits display area to copy/paste the value.- Two percent modes:* scientific: 200+50%=200.5, 200*50%=100* financial: 200+50%=300, 200*50%=100- memo can set left or right hand side- multiple memos- Label tape, that you can type text on the memo or store numbers from calculator'This app costs $0.99 |
More About
This Textbook
Overview
This book covers topics in the theory and practice of functional equations. Special emphasis is given to methods for solving functional equations that appear in mathematics contests, such as the Putnam competition and the International Mathematical Olympiad. This book will be of particular interest to university students studying for the Putnam competition, and to high school students working to improve their skills on mathematics competitions at the national and international level. Mathematics educators who train students for these competitions will find a wealth of material for training on functional equations problems. The book also provides a number of brief biographical sketches of some of the mathematicians who pioneered the theory of functional equations. The work of Oresme, Cauchy, Babbage, and others, is explained within the context of the mathematical problems of interest at the time.
About the Author:
Christopher Small is a Professor in the Department of Statistics and Actuarial Science at the University of Waterloo
Editorial Reviews
From the Publisher
From the reviews:
"This book is devoted to functional equations of a special type, namely to those appearing in competitions … . The book contains many solved examples and problems at the end of each chapter. … The book has 130 pages, 5 chapters and an appendix, a Hints/Solutions section, a short bibliography and an index. … The book will be valuable for instructors working with young gifted students in problem solving seminars." (EMS Newsletter, June |
Cambridge 3 Unit Mathematics Year 11
Cambridge 3 Unit Mathematics Year 11 by William Pender
Book Description
Cambridge 3 Unit Mathematics spans the full range of 3 Unit Mathematics students' abilities. The gradual changes of emphasis in the HSC examinations in NSW over the past ten years are entirely and expertly addressed by the authors. The book provides a large number and variety of questions in each exercise that are clearly graded according to ability. The authors go beyond and above the normative textbook by presenting mathematics in its pure, elegant form. They intend, in Cambridge 3 Unit Mathematics to inspire in students a passion for mathematics through clear and careful exposition, interesting questions, and particularly through demonstrating the relationships between the various topics.As well, the book: * provides links to other topics and requirements for explanation in the style of recent HSC papers * is designed to expand and develop the wide range of student abilities through extensive and aptly graded exercises * provides a large number of fully worked examples * provides theory that is logically developed and clearly explained * summarises main results and algorithms in numbered boxes for easy reference and revision * divides chapters systematically into manageable sections which consist of a substantial exercise preceded by theory and worked examples * includes exercises divided into three groups: foundation (basic algorithms), development (algorithms applied to appropriate problems and put in context with material from other sections), and extension (to inspire further thought and development amongst those students who wish to master the 4 unit course)
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Date:December 7, 2013
homeschool1
Location:Boise ID
Age:35-44
Gender:female
Quality:
5out of5
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This is my second year homeschooling my 13 year old. The DVD set for Saxon Math is an absolute must have. The lessons are short and to the point. (10-15 minutes) The program also goes thru the homework sets problem by problem and shows the student how to get the right answer. It's perfect for after my son has made his first attempt at all of the problems and is simply going back to correct the ones that he missed.
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Review 2 for Saxon Teacher for Algebra 1/2, 3rd Edition on CD-ROM
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Date:November 7, 2011
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Location:Oak Forest, IL
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Geometry revisited by H. S. M Coxeter(
Book
) 50
editions published
between
1967
and
2012
in
5
languages
and held by
2,165 WorldCat member
libraries
worldwide
The chief purpose of this book is to revisit those regions of elementary geometry that were enjoyed by our ancestors, making use of the idea of transformations: an idea that facilitates geometric understanding and links the subject with other branches of mathematics. In particular, Chapter 5 introduces the reader to inversive geometry, which has an important application to analysis, and Chapter 6 introduces conics with special emphasis on the notions of focus and eccentricity, notions obviously relevant to the study of orbits of comets, planets, and satellites. The early chapters take the reader by easy stages from very simple ideas to the core of the subject. The problems throughout the book contain extensions of the text as well as challenges to the reader
Introduction to geometry by H. S. M Coxeter(
Book
) 48
editions published
between
1961
and
1994
in
English and Undetermined
and held by
2,045 WorldCat member
libraries
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This classic work is now available in an unabridged paperback edition. The Second Edition retains all the characterisitcs that made the first edition so popular: brilliant exposition, the flexibility permitted by relatively self-contained chapters, and broad coverage ranging from topics in the Euclidean plane, to affine geometry, projective geometry, differential geometry, and topology. The Second Edition incorporates improvements in the text and in some proofs, takes note of the solution of the 4-color map problem, and provides answers to most of the exercises
Non-Euclidean geometry by H. S. M Coxeter(
Book
) 66
editions published
between
1941
and
1998
in
English and Undetermined
and held by
1,874 WorldCat member
libraries
worldwide
The MAA is delighted to be the publisher of the sixth edition of this book, updated with a new section 15.9 on the author's useful concept of inversive distance. Throughout most of this book, non-Euclidean geometries in spaces of two or three dimensions are treated as specializations of real projective geometry in terms of a simple set of axioms concerning points, lines, planes, incidence, order and continuity, with no mention of the measurement of distances or angles. This synthetic development is followed by the introduction of homogeneous coordinates, beginning with Von Staudt's idea of regarding points as entities that can be added or multiplied. Transformations that preserve incidence are called colineations. They lead in a natural way to elliptic isometries or "congruent transformations". Following a recommendation by Bertrand Russell, continuity is described in terms of order. Elliptic and hyperbolic geometries are derived from real projective geometry by specializing an elliptic or hyperbolic polarity which transforms points into lines (in two dimensions) or planes (in three dimensions) and vice versa. This treatment can be enjoyed by anyone who is familiar with algebra up to the elements of group theory. - Publisher
Mathematical recreations & essays by W. W. Rouse Ball(
Book
) 49
editions published
between
1939
and
2009
in
English and Undetermined
and held by
1,340 WorldCat member
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worldwide
This classic work offers scores of stimulating, mind-expanding games and puzzles: arithmetical and geometrical problems, chessboard recreations, magic squares, map-coloring problems, cryptography and cryptanalysis, much more
Projective geometry by H. S. M Coxeter(
Book
) 43
editions published
between
1946
and
2003
in
3
languages
and held by
1,309 WorldCat member
libraries
worldwide
In Euclidean geometry, constructions are made with ruler and compass. Projective geometry is simpler: its constructions require only a ruler. In projective geometry one never measures anything, instead, one relates one set of points to another by a projectivity. The first two chapters of this book introduce the important concepts of the subject and provide the logical foundations. The third and fourth chapters introduce the famous theorems of Desargues and Pappus. Chapters 5 and 6 make use of projectivities on a line and plane, respectively. The next three chapters develop a self-contained account of von Staudt's approach to the theory of conics. The modern approach used in that development is exploited in Chapter 10, which deals with the simplest finite geometry that is rich enough to illustrate all the theorems nontrivially. The concluding chapters show the connections among projective, Euclidean, and analytic geometry
The real projective plane by H. S. M Coxeter(
Book
) 58
editions published
between
1949
and
2013
in
3
languages
and held by
1,169 WorldCat member
libraries
worldwide
Contain: Files, scenes, narrations, and projectivities for Mathematica
Regular polytopes by H. S. M Coxeter(
Book
) 33
editions published
between
1947
and
2012
in
English and Undetermined
and held by
1,156 WorldCat member
libraries
worldwide
Regular complex polytopes by H. S. M Coxeter(
Book
) 23
editions published
between
1974
and
1991
in
English and Undetermined
and held by
834 WorldCat member
libraries
worldwide
The Coxeter legacy : reflections and projections(
Book
) 7
editions published
between
2005
and
2006
in
English
and held by
196 WorldCat member
libraries
worldwide
This collection of essays on the legacy of mathematician Donald Coxeter is a mixture of surveys, updates, history, storytelling and personal memories covering both applied and abstract maths. Subjects include: polytopes, Coxeter groups, equivelar polyhedra, Ceva's theorum, and Coxeter and the artists
Unvergängliche Geometrie by H. S. M Coxeter(
Book
) 14
editions published
between
1963
and
1981
in
3
languages
and held by
180 WorldCat member
libraries
worldwide |
This book motivates students by highlighting real people facing real challenges finding real solutions. This series features real workers at Motorola, along with hundreds of applications and real data sets highlighting the relevance and scope of activities a reader may encounter in life. Covers such topics as graphs, functions, polynomial and rational functions, the zeros of a polynomial function, exponential and logarithmic functions, trigonometric functions, analytic trigonometry, applications of trigonometric functions, polar coordinates, vectors, analytic geometry, systems of equations and inequalities, sequence, induction, the binomial theorem, counting and probability, and more. For anyone interested in Precalculus.
Emphasizing graphing technology and business applications, this user-friendly book is the perfect reference for everyday and business mathematics. Solves problems using both algebra and a graphing utility, with the benefits of each illustrated. Uses real data to help readers make connections between the mathematics learned and familiar situations. Uses up-to-date technology including the more powerful features of ZERO(ROOT) and INTERSECT, with minimal use of TRACE. Helps readers quickly identify key points in the book with a vivid new full-color design. For anyone who needs to brush up on everyday or business-related mathematics.
More editions of Trigonometry: Enhanced with Graphing Utilities (2nd Edition): |
Algebra, Revised Edition describes the history of both strands of algebraic thought. This updated resource describes some of the earliest progress in algebra as well as some of the mathematicians in Mesopotamia, Egypt, China, and Greece who contributed to this early period. It goes on to explore the many breakthroughs in algebraic techniques as well as how letters were used to represent numbers. New material has been added to the chapter on "modern" algebra, a type of mathematical research that continues to occupy the attention of many mathematicians today. |
PAPERBACK Good 0131774859/*0019N-8, 0-13-100191-4, Tannenbaum, Peter, Arnold, Robert, Excursions In Modern Mathematics, 3/E*/ This collection of "excursions" into modern mathematics is written in an informal, very readable style, with features that make the material interesting, clear, and easy-to-learn. It centers on an assortment of real-world examples and applications, demonstrating attractive, useful, and modern coverage of liberal arts mathematics. The book consists of four independent parts, each consisting of four chapters—1) Social Choice, 2) Management Science, 3) Growth and Symmetry, and 4) Statistics. For the study of mathematics.
Editorial Reviews
Booknews
New edition of a text representing a collection of topics chosen to meet the criteria of applicability to real-life problems, accessibility, inclusion of modern mathematics, and aesthetics. Sixteen chapters discuss the mathematics of social choice, management science, growth and symmetry, and statistics. Exercises address a broad spectrum of levels of difficulty. Annotation c. by Book News, Inc., Portland, Or.
Related Subjects
Meet the Author
Peter Tannenbaum earned his bachelor's degrees in Mathematics and Political Science and his PhD in Mathematics from the University of California–Santa Barbara. He has held faculty positions at the University of Arizona, Universidad Simon Bolivar (Venezuela), and is professor emeritus of mathematics at the California State University–Fresno. His research examines the interface between mathematics, politics, and behavioral economics. He has been involved in mathematics curriculum reform and teacher preparation. His hobbies are travel, foreign languages and sports. He is married to Sally Tannenbaum, a professor of communication at CSU Fresno, and is the father of three (twin sons and a daughter).
Read an Excerpt—its contents are not. By design, the topics in this book are chosen with the purpose of showing the reader a Math—by and large, Intermediate Algebra is an appropriate and sufficient prerequisite. (In the few instances in which more advanced concepts are unavoidable, an effort has been made within the last 100 years; Hopefully, every open-minded reader will find some topics about which they can say, "I really enjoyed learning this stuff!"
Outline
The material in the book is divided into four independent parts. Each of these parts in turn contains four chapters dealing with interrelated topics.
Part 1 (Chapters 1 through 4). The How are seats apportioned in the House of Representatives?
Part 2 (Chapters 5 through 8). Management Science. This part deals with methods for solving problems involving the organization and management of complex activities- Growth and Symmetry. This part deals with nontraditional geometric ideas. How do sunflowers and seashells grow? How do animal populations grow? What are the symmetries of a snowflake? What is the true pattern behind that wallpaper pattern? What is the geometry of a mountain range? What kind of symmetry lies hidden in our circulatory system?
Part 4 (Chapters 13 through 16). Statistics. In one way or another, statistics affects all of our lives. Government policy, insurance rates, our health, our diet, and public opinion are all governed by statistical laws. This part deals withExercises and Projects
An important goal for this book is that it be flexible enough to appeal to a wide range of readers in a variety of settings. The exercises, in particular, have been designed to convey the depth of the subject matter by addressing a broad spectrum of levels of difficulty—from the routine drill to the ultimate challenge. For convenience (but with some trepidation) the exercises are classified into three levels of difficulty:
Walking. These exercises are meant to test a basic understanding of the main concepts, and they are intended
Traditional exercises sometimes are not sufficient to convey the depth and richness of a topic. A new feature in this edition is the addition of a Projects and Papers section following the exercise sets at the end of each chapter. One of the nice things about the "excursions" in this book is that they often are just a starting point for further exploration and investigation. This section offers some potential topics and ideas for some of these explorations, often accompanied with suggested readings and leads for getting started. In most cases, the projects are well suited for group work, be it a handful of students or an entire small class.
What Is New in This Edition?
The two most visible additions to this edition are the Projects and Papers section discussed above and a biographical profile at the end of each chapter (in the chapter on Apportionment, a historical section detailing the checkered story of apportionment in the U.S. House of Representatives was added instead). Each biographical profile features a scientist (they are not always mathematicians) who made a significant contribution to the subject covered in the chapter. In keeping with the spirit of modernity, most are contemporary and in many cases still alive.
Other changes in this edition worth mentioning are:
In Chapter 2 the European Union is introduced as another important example of a weighted voting system. Both the Banzhaf and the Shapley-Shubik power distribution of the member nations in the EU are given. The power distribution of the Electoral College has been updated to reflect the 2000 Census data.
In Chapter 4 I expanded the discussion of how to use trial and error to find divisors for Jefferson's and Adams's methods. The new explanations are illustrated with flowcharts. An historical section on apportionment (which was an appendix in earlier editions) has been expanded and moved to the end of the chapter. I added a new appendix (Appendix 2), showing the apportionments in the U.S. House of Representatives for each state under each of the methods discussed in the chapter.
In Chapter 5 I added a brief discussion on algorithms in general.
In Chapter 10 several new examples have been added to give more realistic illustrations of the use of exponential growth models.
In Chapter 11 several new tables have been added to better clarify the classification of symmetry types. I also included a flowchart for the classification of wallpaper patterns.
In Chapter 14 anew section on computing pth percentiles in general has been added. The computations of the median and the quartiles now follow as special cases of the general case.
Preface
PREFACE
To most outsiders, modern mathematics is unknown territory. Its borders are protected by dense thickets of technical terms; its landscapes are a mass of indecipherable equations and incomprehensible concepts. Few realize that the world of modern mathematics is rich with vivid images and provocative ideas.
– Ivars Peterson, The Mathematical Tourist-its contents are not. We have made a concerted effort to introduce the reader to an entirelyMath: We have found Intermediate Algebra to be an appropriate and sufficient prerequisite. (In the few instances in which more advanced concepts are unavoidable we have endeavored in this century, It is not necessary that the reader love everything in the book—it is sufficient that he or she find one topic about which they can say, "I really enjoyed learning this stuff!" We believe that anyone coming in with an open mind almost certainly will.
OUTLINE
The material in the book is divided into four independent parts. Each of these parts in turn contains four chapters dealing with interrelated topics.
Part 1 (Chapters 1 through 4).The
Part 2 (Chapters 5 through 8).Management Science. This part deals with methods for solving problems involving the organization and management of complex activities—Growth and Symmetry. This part deals with nontraditional geometric ideas. How do sunflowers and seashells grow? How do animal populations grow? What are the symmetries of a snowflake? What is the symmetry type of a wallpaper pattern? What is the geometry of a mountain range? What kind of symmetry lies hidden in our circulatory system?
Part 4 (Chapters 13 through 16).Statistics. In one way or another, statistics affects all of our lives. Government policy, insurance rates, our health, our diet, and public opinion are all governed by statistical laws. This part deals withEXERCISES
We have endeavored to write a book that is flexible enough to appeal to a wide range of readers in a variety of settings. The exercises, in particular, have been designed to convey the depth of the subject matter by addressing a broad spectrum of levels of difficulty-from the routine drill to the ultimate challenge. For convenience (but with some trepidation) we have classified them into three levels of difficulty:
Walking. These exercises are meant to test a basic understanding of the main concepts, and they are intended This category also includes an occasional open-ended problem suitable for a project.
THE FOURTH EDITION
This fourth edition of Excursions in Modern Mathematics retains the topics and organization of the third edition, in a more attractive and hopefully more user friendly package. The exercise sets at the end of each chapter have been significantly reorganized and expanded. The Walking exercises are now classified and listed according to topic, and there is now a much wider variety of exercises to choose from in each topic.
TEACHING EXTRAS AVAILABLE WITH THE FOURTH EDITION
New York Times Supplement 0-13-019892-7 Prentice Hall and The New York Times jointly sponsor "A Contemporary View," a collection of mathematically significant articles taken from the pages of The New York Times.
Instructor's Solutions Manual 0-13-031483-8 Contains solutions to all the exercises in the text. Also includes extra classroom and student project materials developed at Virginia Commonwealth University.
MathPak 0-13-018698-8 Includes the Companion Website plus the Student Solutions Manual, Excel chapter projects developed by Dale Buske, St. Cloud State, and other extra materials designed to enrich the course.
A FINAL WORD
This book grew out of the conviction that a liberal arts mathematics course should teach students more than just a collection of facts and procedures. The ultimate purpose of this book is to instill in the reader an overall appreciation of mathematics as a discipline and an exposure to the subtlety and variety of its many facets: problems, ideas, methods, and solutions. Last, but not least, we have tried to show that mathematics can be fun.
ACKNOWLEDGMENTS
This book is now in its fourth edition, and there are many people who contributed in significant ways to help it along the way. We are thankful to each and every one of them.
Thanks go to St. Cloud State University mathematics faculty for their invaluable insight. Their dedication and resulting comments have helped shape many of the improvements in this revision.
The exercise sets have grown over time, with valuable contributions at various stages from Vahack Haroutunian, Ronald Wagoner, Carlos Valencia, and L. T. Ullmann.
We extend special thanks to Professor Benoit Mandelbrot of Yale University who read the manuscript for Chapter 12 and made several valuable suggestions.
For this fourth edition, the contributions of our copy editor Kathy SessaFederico and our production editor Barbara Mack were invaluable, and much of the improvements in presentation and readability are due to their work.
Last, but not least, the person most responsible for the success of this book is Sally Yagan. There is an editor behind every book, but few that can match her vision, "can-do" attitude, and |
An interactive scatterplot applet that allows users to put in their own data that is part of a large collection of platform...
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An interactive scatterplot applet that allows users to put in their own data that is part of a large collection of platform independent, interactive, java applets and activities for K-12 mathematics and teacher education.
A compilation of hard-to-envision topics designed for classroom demonstration. Topics range from simple to complex. Includes:...
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A compilation of hard-to-envision topics designed for classroom demonstration. Topics range from simple to complex. Includes: contours, total differential, unit circle and relation to trig fcns, covariant and contravariant coor systems, convolution. More will be added to this site.
Probability plotter and calculator allows students to explore different distributions and their relationships. Interactive...
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Probability plotter and calculator allows students to explore different distributions and their relationships. Interactive dialogue box allows students to change distribution shape and scaling parameters as well as allowing to explore cumulative probabilities. Discrete distributions include the discrete uniform, binomial, and the poisson. Continuous distributions include the uniform, beta, exponential, weibull, gamma, and lognormal distributions. Sampling distributions include the normal, the t-distribution, the chi-square, and the F-distribution. |
Many mathematics students have trouble the first time they take a course, such as linear algebra, abstract algebra, introductory analysis, or discrete mathematics, in which they are asked to prove various theorems. This textbook will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed "scratchwork" sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. Numerous exercises give students the opportunity to construct their own proofs. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.
Most Helpful Customer Reviews
Believe it or not, I graduated with a BS in math without being able to write proofs all that well. I got an "A" in advanced calculus and abstract algebra due mostly to the fact that the majority of the students in the class couldn't write proofs. Over a decade later, I was browsing through the math books at my local book store and found this book. After working through some of the problems and studying some of the material, I wished that I had this book a year or so before taking advanced calculus (introductory real analysis). Actually, this book can be handled by a person just finishing high school. My advice to all math majors who don't have a solid foundation in mathematical proofs is to get this book as soon as you can, study it and work many of the problems. This way when you have to take advanced calculus, topology or abstract algebra you will not be struggling to learn how to write proofs. I can not guarrantee that you will breeze through these courses after studying this book, but you will be spending more time on learning concepts and little or no time on the methods and techniques of proofs. Set Theory is the foundation on which mathematical proofs are based. This book emphasizes set theory.
I recall it was a few years back when I encountered this little gem at my first analysis class. In fact this book wasn't assigned and instead we used Analysis by Lay. I didn't get essential proof tactics/strategies out of Lay's so I plunged myself into Library and after looking up one after another, I finally found this book. It is about as title says and not about Analysis. The book does not cover as much as one expects from Analysis books. But many of them I've seen seem to fail on teaching "how to prove" to study Analysis. Velleman uses structured style as a technique. Two columns are prepared. The left column is Givens and right Goal. By restructuring Givens and Goal using relationships and definitions, some parts of Goal statement is moved to Givens, like peeling skins of onion. This process iterates until one finds the proving obvious. The whole process is a "scratch work" and a reader is able to see how the author structures the proof step by step, both from Goal and Givens viewpoints. In past, there was only a Macintosh proofing program, but now Java version called Proof Designer is out. So Windows and Linux users alike can now enjoy this little program in conjunction with the book. Two disappointments with Proof Designer are that the output is only in the form of a traditional proof style which does not expose "the scratch work" and that the program does not use the two column style used in the book. There are additional materials such as supplementary exercises, documentation, and a list of proof strategies (which is also available at the end of the book as a good reminder and reference), all available from author's site for free. [search in google like this: velleman "how to prove it" inurl:amherst] After completion of this book, don't throw it away!Read more ›
However, it could have been better. I bought the book almost 10 years ago. I am a secondary ed. math teacher and when I left college I was quite upset with myself that I had this fancy math degree and couldn't prove anything. I picked up this book and today I'm working on my PhD in mathematics! This book inspired me to that.
First - What's wrong with the book. Not that there really is anything wrong with the book. I have attempted this book 3 times. I admit, the first two times I stalled (1997 - 2001) when I got to page 119. For some reason I couldn't grip those concepts such as intersecting families, etc. The preface of the book says only high school mathematics is required - that is just flat out wrong. This book is more for undergrads and maybe older fossils like me that have delved into mathematics a bit more than average. Also, like all the other reviews, there is too many exercises with no solutions. What really threw me with that is I didn't know if I was setting the written argument up properly. Sure, on the one hand, it's better to NOT have answers so you strive like a mad person to find them. Yet, it's so frustrating to not know if you did something right. The best approach is to do your best I suppose. After the third try (2004 & 2005) I finally completed the book on my own volition and I'm assuming most of my content is correct.
Velleman describes math so well that I honestly admit, I have a full repetoire of tactics to use to solve mathematical proofs. I don't have the confidence to toy with the big boys yet, like correcting a 49 page proof pertaining to the 'Twin Prime Conjecture' ... but it is SO NICE to UNDERSTAND the arguments!Read more ›
The strength of this book is that it tries to develop an algorithmic structure for the approach of proofs that is very similar to computer programming. This means that the logic is easier to understand because of the way he standardizes his symbols and lays out the logical flow of different prove techniques. Many examples are worked out in detail. I recommend this book to anyone (especially engineering students) without formal training in mathematics (but who can program computers), who need to understand very formal mathematical material. The presentation is strengthened by the author's use of basic set theory to illustrate the proof technique. This means that the results you're trying to prove are often pretty obvious, but this allows you to concentrate on the technique of proof in question. Also check out Polya's book of the same name. |
Combinatorial Problems and Exercises
9780821842621
ISBN:
0821842625
Pub Date: 2007 Publisher: American Mathematical Society
Summary: The main purpose of this book is to provide help in learning existing techniques in combinatorics. The most effective way of learning such techniques is to solve exercises and problems. This book presents all the material in the form of problems and series of problems.
Lovász, László is the author of Combinatorial Problems and Exercises, published 2007 under ISBN 9780821842621 and 0821842625. Nineteen Combin...atorial Problems and Exercises textbooks are available for sale on ValoreBooks.com, five used from the cheapest price of $71.16, or buy new starting at $91.79 |
Key to Algebra Answ & Notes Fo
Includes notes to the teacher and student of key ideas and formulas to remember while showing the answers for all the problems in workbooks number 5 ...Show synopsisIncludes notes to the teacher and student of key ideas and formulas to remember while showing the answers for all the problems in workbooks number 5 through 7.Hide synopsis
Description:Good. Key to Algebra: Answers and Notes, Books 5-7. This book is...Good. Key to Algebra: Answers and Notes, Books 5-7. This book is in Good condition. Buy with confidence. We ship from multiple location.
Description:Good. Key To Algebra Answers & Notes For Books 1-4. This book is...Good. Key To Algebra Answers & Notes For Books 1-4. This book is in Good condition. Buy with confidence. We ship from multiple location.
Description:Very Good. No Jacket. 4to-over 9¾"-12" tall. (unpaginated)...Very Good. No Jacket. 4to-over 9¾"-12" tall. (unpaginated) Thirteenth printing. The lightest of rubbing to the cover edges. The binding is tight and the |
Get the confidence and the skills you need to master differential equations!
Need to know how to solve differential equations? This easy-to-follow, hands-on workbook helps you master the basic concepts and work through the types of problems you'll encounter in your coursework. You get valuable exercises, problem-solving shortcuts, plenty of workspace, and step-by-step solutions to every equation. You'll also memorize the most-common types of differential equations, see how to avoid common mistakes, get tips and tricks for advanced problems, improve your exam scores, and much more!
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This is a book containing over 200 problems spanning over 70 specific topic areas covered in a typical Algebra II course. Learners can encounter a selection of application problems featuring astronomy, earth science and space exploration, often with...(View More) more than one example in a specific category. Learners will use mathematics to explore science topics related to a wide variety of NASA science and space exploration endeavors. Each problem or problem set is introduced with a brief paragraph about the underlying science, written in a simplified, non-technical jargon where possible. Problems are often presented as a multi-step or multi-part activities. This book can be found on the Space Math@NASA websiteThis is a booklet containing 15 problems that incorporate data and information from the Hinode solar observatory. The problems involve math skills such as finding the scale of an image to determine actual physical sizes in images, time calculations,...(View More) volumes of cylinders, graph analysis, and scientific notation. Learners will use mathematics to explore solar science topics such as sunspot structure, spectroscopy, solar rotation, magnetic fields, density and temperature of hot gases, and solar flares. This booklet can be found on the Space Math@NASA website |
11,969including precalculus precalculus precalculus |
Computers are one of the most important tools available to physicists, whether for calculating and displaying results, simulating experiments, or solving complex systems of equations. Introducing students to computational physics, this textbook reveals how to use computers to solve mathematical problems in physics and teaches students about choosing different numerical approaches. It also introduces students to many of the programs and packages available. The book relies solely on free software: the operating system chosen is Linux, which comes with an excellent C++ compiler, and the graphical interface is the ROOT package available for free from CERN |
Intermediate Algebra
Todays Developmental Math students enter college needing more than just the math, and this has directly impacted the instructors role in the ...Show synopsisTodays Developmental Math students enter college needing more than just the math, and this has directly impacted the instructors role in the classroom. Instructors have to teach to different learning styles, within multiple teaching environments, and to a student population that is mostly unfamiliar with how to be a successful college student. Authors Andrea Hendricks and Pauline Chow have noticed this growing trend in their combined 30+ years of teaching at their respective community colleges, both in their face-to-face and online courses. As a result, they set out to create course materials that help todays students not only learn the mathematical concepts but also build life skills for future success. Understanding the time constraints for instructors, these authors have worked to integrate success strategies into both the print and digital materials, so that there is no sacrifice of time spent on the math. Furthermore, Andrea and Pauline have taken the time to write purposeful examples and exercises that are student-centered, relevant to todays students, and guide students to practice critical thinking skills. Intermediate Algebra and its supplemental materials, coupled with ALEKS or Connect Math Hosted by ALEKS, allow for both full-time and part-time instructors to teach more than just the math in any teaching environment without an overwhelming amount of preparation time or even classroom time.Hide synopsis
Description:Hardcover. Instructor Edition: Same as student edition with...Hardcover. Instructor Edition: Same as student edition with additional notes or answers. New Condition. SKU: 978007336097384269. |
The two fields of Geometric Modeling and Algebraic Geometry, though closely related, are traditionally represented by two almost disjoint scientific communities. Both fields deal with objects defined by algebraic equations, but the objects are studied in different ways. This contributed book presents, in 12 chapters written by leading experts, recent... more...
Algebraic Geometry provides an impressive theory targeting the understanding of geometric objects defined algebraically. Geometric Modeling uses every day, in order to solve practical and difficult problems, digital shapes based on algebraic models. This book is a collection of articles bridging these two areas. more... |
]]> like the poem, maths, but I noticed that eye and symmetry don't rhyme...
I think calculus sounds fun! A lot of the stuff we do in my math class is just plugging things into formulas we learned two years ago. I'm ready to learn something new. Bwahahaa. I want to get through AP Calculus III/IV before graduating highschool. WOOH! That class will be AWESOME!
If you have a very good understanding of derivatives, integration (especially finding the limits of integration), and understanding how to apply these, then no.
The only other thing to consider are converging and diverging series, but for those, all you have to do is memorize a few different tests to see which is which.
]]> tiger, burning bright In the forests of the night, What immortal hand or eye Framed thy fearful symmetry? - Rudyard Kipling (author of The Jungle Book)]]> sorry ........um............. climbing maybe ]]> :-O Well most tigers are come to think of it.]]> giving thretes.....or maybe not]]> on think. We're all good at something. I'm good at scaring people away and saying dumb stuff.]]> don't know ? ]]> are you good at? :-)]]> i don't get it cause i'm no good at math ]]> read a book on algebra 1, then on 2, then trig, now almost done calculus, in a little over a year. (cause I don't have other subjects to worry about) I'd say all that is pretty unecessary. Though it doesn't hurt.
Hey, Ricky, is multivariable calculus hard? Btw that series of complaints was hilarious!
]]> you're saying that a lot of the junk we're learning that I don't think has anything to do with anything will become useful? I think we could've skipped the unit about "How to determine if a question is biased." That seemed like a journalism thing to do...
And I love your signature!
]]> math classes have long periods of learning what you should already know. This is because math takes practice and you must understand everything you have learned fully to understand more advanced things.
It does get pretty annoying though. In vector calculus, we learned how to deal with vectors (ironically having nothing to do with calculus). In multivariable calculus, we spent a month reviewing what we learned in vector calculus, then never used it again. Finally, in calculus of several variables (even more ironically, the book we are using is called Vector Calculus), we actually use vectors and calculus. |
Find a Royse City Algebra 2 use the step approach so the students have a road map for where they are going and how to get there as the journey is more important than the destination. We also discuss the different routes that they can take as there is rarely just one way to go. Whether your child needs to re-mediate, retain, or raise their math skills, get them started today. |
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About the book:
There are two kinds of math: the hard kind and the easy kind. The easy kind, practiced by ants, shrimp, Welsh corgisand usis innate.
What innate calculating skills do we humans have? Leaving aside built-in mathematics, such as the visual system, ordinary people do just fine when faced with mathematical tasks in the course of the day. Yet when they are confronted with the same tasks presented as math, their accuracy often drops.
But if we have innate mathematical ability, why do we have to teach math and why do most of us find it so hard to learn? Are there tricks or strategies that the ordinary person can do to improve mathematical ability? Can we improve our math skills by learning from dogs, cats, and other creatures that do math? The answer to each of these questions is a qualified yes. All these examples of animal math suggest that if we want to do better in the formal kind of math, we should see how it arises from natural mathematics.
From NPRs Math GuyThe Math Instinct will provide even the most number-phobic among us with confidence in our own mathematical abilities.
Hardcover, ISBN 1560256729 Publisher: Thunder's Mouth Press, 2005 Hardcover. New. 1560256729 New book. May have minimal wear due to shipping and storage. Reliable seller. Fast shipping from central Texas (Austin area). All international orders ship by airmail.
Hardcover, ISBN 1560256729 Publisher: Basic Books, 2005 Usually ships within 1 - 2 business days, Unbeatable customer service, and we usually ship the same or next day. Over one million satisfied customers!
Hardcover, ISBN 1560256729 Publisher: Thunder's Mouth Press, 2005 Usually dispatched within 1-2 business days, Unbeatable customer service, and we usually ship the same or next day. Over one million satisfied customers!
Hardcover, ISBN 1560256729 Publisher: Thunder's Mouth Press, 2005 Versandfertig in 1 - 2 Werktagen, Unbeatable customer service, and we usually ship the same or next day. Over one million satisfied customers!
Hardcover, ISBN 1560256729 Publisher: Thunder's Mouth Press, 2005 Used - Very Good. Ex-Library Book - will contain Library Markings. Book has appearance of only minimal use. All pages are undamaged with no significant creases or tears.60256729 Publisher: Thunder's Mouth Press60256729 Publisher: Thunder's Mouth Press, 2005 Thunder's Mouth Press. Used - Good. Dust jacket is present. Book Club Edition. GOOD with average wear to cover and pages. We offer a no-hassle guarantee on all our items. Orders generally ship by the next business day. Default Text |
MG 5720 - Topics in Number Theory for Elementary/Middle School Teachers
Credits: 2-4
This course is repeatable
Topics in this course vary, but may focus on one or more of the following topics traditionally found in a K-8 mathematics curriculum: primes and composites, the LCM and GCD, the Euclidean algorithm, divisibility and modular arithmetic. Other topics may include perfect, abundant and deficient numbers, complex numbers and mathematical induction. A standard text on the topic will be used when appropriate. Students may repeat the course with a different topic as its focus with the permission of the department chair. |
More About
This Textbook
Overview
A hands-on introduction to the tools needed for rigorous and theoretical mathematical reasoning
Successfully addressing the frustration many students experience as they make the transition from computational mathematics to advanced calculus and algebraic structures, Theorems, Corollaries, Lemmas, and Methods of Proof equips students with the tools needed to succeed while providing a firm foundation in the axiomatic structure of modern mathematics.
This essential book:
* Clearly explains the relationship between definitions, conjectures, theorems, corollaries, lemmas, and proofs
* Reinforces the foundations of calculus and algebra
* Explores how to use both a direct and indirect proof to prove a theorem
* Presents the basic properties of real numbers
* Discusses how to use mathematical induction to prove a theorem
* Identifies the different types of theorems
* Explains how to write a clear and understandable proof
* Covers the basic structure of modern mathematics and the key components of modern mathematics
A complete chapter is dedicated to the different methods of proof such as forward direct proofs, proof by contrapositive, proof by contradiction, mathematical induction, and existence proofs. In addition, the author has supplied many clear and detailed algorithms that outline these proofs.
Theorems, Corollaries, Lemmas, and Methods of Proof uniquely introduces scratch work as an indispensable part of the proof process, encouraging students to use scratch work and creative thinking as the first steps in their attempt to prove a theorem. Once their scratch work successfully demonstrates the truth of the theorem, the proof can be written in a clear and concise fashion. The basic structure of modern mathematics is discussed, and each of the key components of modern mathematics is defined. Numerous exercises are included in each chapter, covering a wide range of topics with varied levels of difficulty.
Intended as a main text for mathematics courses such as Methods of Proof, Transitions to Advanced Mathematics, and Foundations of Mathematics, the book may also be used as a supplementary textbook in junior- and senior-level courses on advanced calculus, real analysis, and modern algebra.
Meet the Author
RICHARD J. ROSSI, PHD, is Professor in the Department of Mathematics at Montana Tech of The University of Montana in Butte, Montana. He served as President of the Montana Chapter of the American Statistical Association in 1996 and 2001 and as an Associate Editor for Biometrics from 1997–2000. He is a member of the American Mathematical Society, the Institute of Mathematical Statistics, and the American Statistical Association. Dr. Rossi received his PhD in statistics from Oregon State University |
This is an exploration of the development of mathematics, from the ancient to the modern world. It covers all the major aspects of the discipline - early geometry, the growth of calculus and mechanics, the development of algebra, and the interplay between mathematics and modern physics.
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Mathematics fully integrates topics from algebra, geometry, trigonometry, discrete mathematics, and mathematical analysis. Word problems are developed throughout the problem sets and become progressively more elaborate. With this practice, high-school level students will be able to solve challenging problems such as rate problems and work problems involving abstract quantities. Conceptually oriented problems that help prepare students for college entrance exams (such as the ACT and SAT) are included in the problem sets. |
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