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CBMS
Conference Board of the Mathematical Sciences
Issues in Mathematics Education
Volume 10
Teaching Mathematics in
Colleges and Universities:
Case Studies for
Today's Classroom
Faculty Edition
Solomon Friedberg
Avner Ash
Elizabeth Brown
Deborah Hughes Hallett
Reva Kasman
Margaret Kenney
Lisa A. Mantini
William McCallum
Jeremy Teitelbaum
Lee Zia
American Mathematical Society
Providence, Rhode Island
in cooperation with
Mathematical Association of America
Washington, D. C.
Contents
Acknowledgements xiii
Introduction 1
Part I. Fourteen Case Studies
Case 1. Changing Sections: On the first days of class, different instructors in
a multisection calculus course grapple with weak student knowledge of
prerequisites 5
Case 2. Emily's Test: Possible cheating in a proctored exam 11
Case 3. Fundamental Problems (Part I): Explaining the fundamental
theorem of calculus 13
Case 4. Making the Grade: Grading student work 15
College algebra version 15
Calculus I version 17
Multivariable calculus version 19
Case 5. Making Waves: Motivating Fourier series through physics 21
Case 6. Order Out of Chaos: A precalculus class struggles with graphing
calculators 27
Case 7. Pairing Up: Managing group work 31
Case 8. The Quicksand of Problem Four: A recitation section covering
average velocity goes awry 35
Case 9. Salad Days: A struggling calculus student 43
Case 10. Seeking Points: A student protests his exam grade, having used
prior knowledge about the derivative to solve the examination question 45
Case 11. Study Habits: A TA seeks ways to get her class to work harder 49
vii
viii CONTENTS
Case 12. Studying the Exam: Constructing an effective, appropriate
examination 55
College algebra questions 56
Calculus II questions 58
Multivariable calculus questions 60
Case 13. There's Something about Ted (Part I): Moving to a large state
university as an instructor 63
Case 14. What Were They Thinking?: Coping with poor exam results 65
Part II. Supporting Materials for Faculty
Developing Effective Mathematics Teaching Assistants Using Case Studies:
An Introduction for Faculty 71
Using Case Studies in a TA-Development Program 77
Types of Cases 83
Summaries of Cases 85
How These Cases Were Created 91
Case 1. Changing Sections, Teaching Guide 93
Case 2. Emily's Test, Teaching Guide 95
Case 3. Fundamental Problems, Part II 97
Fundamental Problems, Teaching Guide 99
Case 4. Making the Grade, Teaching Guide 103
Case 5. Making Waves, Part II 109
Making Waves, Teaching Guide 111
Case 6. Order Out of Chaos, Teaching Guide 115
Exercise for Order Out of Chaos 119
Case 7. Pairing Up, Teaching Guide 121
Case 8. The Quicksand of Problem Four, Teaching Guide 125
Exercise for the Quicksand of Problem Four 131
Case 9. Salad Days, Teaching Guide 133
Case 10. Seeking Points, Teaching Guide 135
Exercise for Seeking Points 139
Case 11. Study Habits, Teaching Guide 141
Case 12. Studying the Exam, Teaching Guide 145
Teaching Guide, College algebra version 147
Teaching Guide, Calculus II version 149
Teaching Guide, Multivariable calculus version 151
CONTENTS ix
Case 13. There's Something about Ted, Part II 153
There's Something about Ted, Teaching Guide 155
Case 14. What Were They Thinking?, Teaching Guide 157
Introduction
Progress in mathematics frequently occurs by first studying particular
examples and then generalizing the patterns which have been observed into
far-reaching Theorems. Similarly, in teaching mathematics one frequently
employs examples to motivate a general principle or to illustrate its use. This
volume employs the same idea in the context of learning how to teach: by
analyzing particular teaching situations one may develop broadly applicable
teaching skills useful for the professional mathematician. These teaching
situations are the Case Studies of the title. Just as a good mathematician
seeks to understand the details of a particular problem but also to put it in
a broader context, the examples presented are chosen to offer a serious set of
detailed teaching issues but also to afford analysis from a broad perspective.
Why use examples to develop teaching skills, rather than simply giving
general principles? One reason is that it is difficult to learn teaching solely
from such principles. Just as 'doing the exercises' is an integral part of learn-
ing mathematics (if the exercises are well-conceived rather than busy-work),
these Case Studies may be regarded as teaching exercises, and can play a
similar role in gaining teaching expertise. A second is that no two people
have the exact same idea of what good teaching actually is— in contrast to
mathematics, there is frequently no one right answer. Even highly regarded
teachers possess different skills and achieve different outcomes; one may en-
able the better students to perform at a very high level, while another shows
the weaker students that, for the first time in their lives, they can do mathe-
matics. Similarly, there is no one right answer to the Case Studies presented
here. In other words, principles of good teaching are personal, and the goal
here is for each person to critically develop such principles, but not to arrive
at the same set of them. Finally, in teaching every day is different. To be
a successful teacher, it is important to be able to analyze and deal with
classroom situations as they develop. The Case Studies prepared by this
project present a broad range of teaching scenarios, and give participants
the opportunity to think them through. Doing so will help prepare for the
next, once again different, classroom experience.
One aspect of good teaching is technical: write legibly, use the board
effectively, speak audibly. These Cases do not address these issues. Rather,
their focus is on more conceptual issues, in the broad areas of mathemat-
ical content as perceived by the students, of pedagogy, and of faculty-TA
relations. For example, how does one help students to truly master the big
ideas, such as the derivative, the integral, and the relation between them?
1
2 THE BOSTON COLLEGE MATHEMATICS CASE STUDIES PROJECT
Manage a classroom of students with a wide range of background knowl-
edge and of ability? Balance teaching and other responsibilities, such as
completing one's dissertation?
Finally, just what is a Case Study, and what does one do with it? A
Case is an excerpt from a teaching situation, described from the perspective
of various students and of the instructor. The Case raises a variety of ped-
agogical and communication issues, to be explored and analyzed in group
discussion, for example by a group of graduate teaching assistants together
with a faculty facilitator. Group consideration of a Case offers the advan-
tage of drawing upon collective experience and diverse perspectives, and
allows different issues, ideas, and strategies to be considered and discussed.
The methodology of Case Studies is widely used in this way in areas such as
business and law, and also in teacher development, both university-level and
precollegiate, in diverse subjects from the humanities to accounting. Alter-
natively, a reader working independently may take each Case as an exercise,
thinking about the situation, asking what the different issues are, what he
or she would do next or would have done differently, what can be learned.
We hope that the consideration of these mathematics Cases, in either
a group or an individual setting, will be thought-provoking, and will help
each reader to develop high-quality teaching skills for use in his or her own
classroom
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* Each title provides the architectural and design professional with a comprehensive reference of more than 1100 equations illustrated with both a large and small building example. * Trademarked "no math menus" and shortcut "recipes" allow any building element to be sized quickly and efficiently * Provide guidance on structural systems, materials, plumbing, electricity, illumination, and acoustics * CD-ROM allows quick and error-free calculations
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Teaching proof in a dynamic geometry environment: what mediation? This paper aims to discuss two issues. First we intend to analyse if and how dynamic geometry software prove to be a communication space for students and how they support students towards proving. Second, we reflect about the use of video-tapes as source of information both for Mathematics Education research and for the teaching practice. In particular we approach the question: how do video-tapes help in the construction of a shared experience in the classroom? Author(s): Olivero Federica,Paola Domingo,Robutti Ornella
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This open educational resource was released through the Higher Education Academy Engi Author(s): Dr Andrew Watson (Loughborough University),Dr PaulVectors Vectors: mathematics 1, level 4, is a presentation about Vectors for level 4 Mathematics and forms part of the 2009/2010 Engineering (foundation degree, BEng and HN) courses from University of Wales Newport (course codes H101, H691, H620, HH37 and 001H). It is a part of the core modules for the full time 1st year undergraduate programme.
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The sitcom, "The Simpsons" "contains over a hundred instances of mathematics ranging from arithmetic to geometry to calculus,...
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The sitcom, "The Simpsons" "contains over a hundred instances of mathematics ranging from arithmetic to geometry to calculus, many designed to expose and poke fun at innumeracy." This site offers several "ways to introduce important concepts to students, and to reduce math anxiety and motivate students in courses for non-majors."In this lesson, students compare different costs associated with two cell phone plans. They write equations with 2 variables...
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Mathematics for the Health Sciences
9780818504785
ISBN:
0818504781
Publisher: Thomson Learning
Summary: Students will learn basic math skills, the use of measurement systems, and strategies of problem solving needed in health science courses. This text is designed for active learning--students are asked to answer questions that follow the introduction of each new topic. Students can compare their responses with the answers provided in the margins to know if they are ready to go on to the next subsection. Exercise sets ...and self-tests, with their answers, are also provided. Proportions are used extensively; dimensional analysis is emphasized.
Roberts, Keith is the author of Mathematics for the Health Sciences, published under ISBN 9780818504785 and 0818504781. Five hundred thirty one Mathematics for the Health Sciences textbooks are available for sale on ValoreBooks.com, one hundred forty two used from the cheapest price of $41.42, or buy new starting at $133Students will learn basic math skills, the use of measurement systems, and strategies of problem solving needed in health science courses. This text is designed for active le [more]
Students will learn basic math skills, the use of measurement systems, and strategies of problem solving needed in health science courses. This text is designed for active learning--students are asked to answer questions that follow the introduction.[less]
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books.google.com - Marilyn,... collection of math lessons
A collection of math lessons: from grades 6 through 8
Marilyn, and statistics. Samples of student work are included throughout. In this book, lessons address logical reasoning; algebra; patterns and functions; probability; ratio, proportion, and fractions; and angles. Samples of student work are included throughout.
About the author (1990)
Burns is a nationally known mathematics educator whose messages about math have reached teachers throught her many books, videotapes, talks, and extensive program of Math Solutions Courses.
Cathy Humphreys, teacher and Noyce Mathematics coach in Californias Silicon Valley, has taught middle-school math for more than twenty years. She has been an instructor for Marilyn Burns Education Associates, a lecturer for preservice mathematics teachers at Stanford University, and is an instructor for the Mathematics Education Collaborative. Her current teaching and coaching focus is on helping low-attaining students build mathematical proficiency.
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Greeley Square, NY Precalculus?llThe book is not wrong. Your teacher is not wrong either. Everything that you do in mathematics has a reason and has a purpose, and the best way to avoid having to memorize countless details is to know ahead of time what exactly is the purpose in your specific case.
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FT Guide to Business Numeracy CourseSmart eTextbook: How to Check the Figures for Yourself
Description
Whether you need to understand other people's calculations to make confident business decisions, or formulate investment choices based on your own numbers, this book will give you the tools you need.
Banks and financial institutions, businesses and politicians often spin their statistics as they know they can rely on customers or constituents not to understand or check maths and formulas.
This book introduces you to the basic tools of maths, statistics and business calculations so that that you can understand the numbers, work out your own calculations and make better investing, saving and business decisions.
Table of Contents
1. Dealing with large amounts of information:market surveys, polls and social behaviour.
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This webinar discusses how to teach concepts in Math and Physics using Symbolic Math Toolbox and MUPad notebook interface.
Topics include:
* Using symbolic computation for common tasks such as solving, simplifying, and plotting equations, and performing other calculations such as derivatives, integrals, limits, and inverses
* Creating interactive animations to demonstrate concepts during class
* Developing curriculum materials and homework assignments using the MuPAD notebook interface
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978038720429keley Problems in Mathematics (Problem Books in Mathematics)
This book collects approximately nine hundred problems that have appeared on the preliminary exams in Berkeley over the last twenty years. It is an invaluable source of problems and solutions. Readers who work through this book will develop problem solving skills in such areas as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear
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Audience:
students interested in mathematics education, either at the secondary, middle,
or elementary level
Course Goals:
According
to the Vermont Department of Education licensure requirements for secondary
mathematics teachers, students should have "knowledge of key concepts, methods,
and skills in mathematics with particular emphasis on:
a.
properties of numbers and numeration, estimation, measurement, computation,
descriptive geometry, applications in solving practical problems, and the use of
calculators and computers appropriate for teaching elementary mathematics
b.
algebra, geometry, probability and statistics, calculus, how the various
branches of mathematics relate to each other and to other disciplines, the
process of reasoning and analysis, mathematical proofs, axioms and theorems,
computer science, logic and the foundations of mathematics appropriate for
teaching secondary mathematics, as well as knowledge of a scientific area."
In light
of these requirements, goals for the course include:
·To enhance knowledge needed
to teach mathematics at the secondary or other levels
·To assist students to
effectively present mathematical concepts to an audience/class at various levels
·To address the use of
technology in teaching mathematics
·To encourage the use of
library and Internet resources
Course Breakdown:
·Throughout the semester, we
will examine mathematical concepts and discuss ways to effectively teach them.
Effective teaching requires a thorough knowledge of mathematics and "multiple
representation" approaches, including the ability to appropriately use
technology. Some specific fields that you may consider include calculus,
trigonometry, geometry in two and three dimensions, algebra, arithmetic,
probability and statistics, etc. Lesson material may come from the available
mathematics texts and/or library and Internet resources. In your lessons, you
may wish to use various presentation approaches (small group/discovery,
mini-lecture or lecture, technology and/or no technology, examples then theorem
and/or theorem then examples, etc.).
Some
other seminar details:
·Several days before each
class, each presenter should e-mail me a lesson outline, intended grade
level, lesson expectations, and mathematics standard(s) addressed to
post in their eCollege "Doc Sharing" category folder. This will allow others
beforehand to view lesson details and consider how to approach the topic(s).
·In the first part of the
semester, you will give one shorter lesson/presentation of about 15-20 minutes
and another shorter lesson/presentation of about 20-25 minutes. Toward the end
of the semester, you will prepare a longer lesson/presentation (and resulting
writeup) of about 45-50 minutes.
·You will have an opportunity
to provide each presenter with lesson feedback about what worked well and what
may be improved. These comments are part of the pedagogical assessment of the
presentation, and you are encouraged to be as detailed and helpful as possible.
In addition to discussing weekly reading assignments, if time permits, we can
also discuss advantages and disadvantages of various approaches for a given
lesson.
·With overheads/slides, allow
sufficient time so that each can be read and digested.
·To effectively create your
overheads/slides, you may wish to first write on scrap paper exactly what to
include each slide. Then, you can transcribe the final version. It can help to
use multiple colors!
·Practice your lesson (in
front of a friend?) before presenting it. This will increase your comfort with
it and ensure it has the desired time length. Please see me ahead of time with
any questions about this.
Grading: Your grade will be based on your in-class
lessons/presentations (including Internet outlines), and your participation in
the class discussion. The approximate grade breakdown will be:
Mini-lesson
presentation: 35 %
Full lesson/presentation:
50 %
Participation: 15 %
Learning Disabilities:
Any student having a documented learning disability that may affect the learning
of mathematics is invited to consult privately with me during the first week of
the semester so that appropriate arrangements can be made.
Academic Integrity:
You are reminded of the academic integrity policy of St. Michael's College.
Simply stated, academic integrity requires that the work you complete for this
class is your own. Some examples of offenses against academic integrity include
plagiarism, unauthorized assistance, interference, and interference using
information technology. Details about academic integrity offenses and the
possible sanctions resulting from them have been distributed at the beginning of
the academic year and also can be found in the Assistant Dean's office.
Class
Attendance: The following is taken from the Saint Michael's College 2007-08
Online Catalogue under "Academic Regulations":
"Students should understand that the main reason for attending college is to be
guided in their learning activities by their professors. This guidance takes
place primarily in the classroom and the laboratory.
The following policies have been established:
1. Members of the teaching faculty and students are expected to meet all
scheduled classes unless prevented from doing so by illness or other
emergencies.
2. The instructor of a course may allow absences equal to the number of class
meetings per week. Additional absences will be considered excessive.
3. The instructor may report excessive absences to the Assistant Dean, who may
warn the student.
4. If absences continue, the Assistant Dean may remove the student from class
with a failing grade."
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Mathematics
A super-duper simple command line calculator that is fast and easy to use. Command Line Calculator supports most common mathematical expressions such as sin, cos, tan, log, exp, random number generation, etc.
Math.NET aims to provide a self contained clean framework for symbolic mathematical (Computer Algebra System) and numerical/scientific computations, including a parser and support for linear algebra, complex differential analysis, system solving and more
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Overview
1001 problems
One year free subscription to all 1001 practice problems
On-the-go access any way you want it—from your computer, smart phone, or tablet
Multiple choice questions on all you math course topics
Personalized reports that track your progress and help show you where you need to study the most
Customized practice sets for self-directed study
Practice problems categorized as easy, medium, or hard
The practice problems in 1001 Basic Math & Pre-Algebra Practice Problems For Dummies give you a chance to practice and reinforce the skills you learn in class and help you refine your understanding of basic math & pre-algebra.
Note to readers:1,001 Basic Math & Pre-Algebra Practice Problems For Dummies, which only includes problems to solve, is a great companion to Basic Math & Pre-Algebra I For Dummies, which offers complete instruction on all topics in a typical Basic Math & Pre-Algebra course.
Related Subjects
Meet the Author
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Summary: Now in its Fifth Edition, this compact, portable and easy-to-use pocket guide provides reference to dosage calculations and drug administration. Using a step-by-step approach, frequent examples are provided to illustrate problem-solving and practical application skills. Contains a review of math skills, measurement systems, and drug calculations and preparations, including dimensional analysis. New features include practice problems, a chapter on drug calculations wi...show moreth drug labels, and a pullout card with basic equivalents, conversion factors, and math formulas. End of chapter reviews encourage reader practice. Details on special population considerations given in the pediatric and geriatric chapters. A great undergraduate resource! ...show less
3. Common Fractions The Numerator of a Fraction The Denominator of a Fraction Fractions That Are Less Than One, Equal to One, or More Than One Mixed Numbers and Improper Fractions Equivalent or Equal Fractions Simplifying or Reducing Fractions Addition of Fractions Addition of Mixed Numbers Subtraction of Fractions Multiplication of Fractions Division of Fractions
4. Decimals or Decimal Fractions
5. Percent, Ratio, and Proportion Percents Fractions and Percents Decimals and Percents Ratio and Proportion Use of Ratio and Proportion: Solving for X Use of Ratio and Proportion: Solving for X Using a Medication Example
11. Oral Dosage Calculations Use of Ratios and Proportions: Solving for X Formula Method Dosage Problems for Medications in the Same System Dosage Problems for Medications in the Same System but Having Different Units of Measurement Dosage Problems for Medications in Different Systems Pediatric Dosages
12. Parenteral Dosages Dosage Problems for Medications in the Same System but Having Different Units of Measurement Dosage Problems for Medications in Different Systems Medications Packaged as Powders Preparation of a Single-Strength Solution Preparation of a Multiple-Strength Solution
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This PDF document is a parent/student guide explaining why Algebra I is a required subject, how it helps prepare students for the future, how Algebra I fits into the student's high school math program, and what parents can do to support their student's success in learning algebra. Geared to a California audience, the ideas are applicable in other states as well.
This site has a two-question survey before you can see it. Fill out the survey to enter the site, or click "Ask me later, enter site" (next to the "submit" button) to skip it.
| 677.169 | 1 |
Seller Rating:(0)
Ships From:Boonsboro, MDShipping:StandardComments: Brand new. We distribute directly for the publisher. Beginning Topology is designed to give unde... [more] Brand new. We distribute directly for the publisher. Beginning Topology is designed to give undergraduate students a broad notion of the scope of topology in areas of point-set, geometric, combinatorial, differential, and algebraic topology, including an introduction to knot theory. A primary goal is to expose students to some recent research and to get them actively involved in learning. Exercises and open-ended projects are placed throughout the text, making it adaptable to seminar-style classes. The book starts with a chapter introducing the basic concepts of point-set topology, with examples chosen to captivate students' imaginations while illustrating the need for rigor. Most of the material in this and the next two chapters is essential for the remainder of the book. One can then choose from chapters on map coloring, vector fields on surfaces, the fundamental group, and knot theory. [less]
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Thinking Mathematically
Blitzer continues to raise the bar with his engaging applications developed to motivate students from diverse majors and backgrounds. Thinking ...Show synopsisBlitzer continues to raise the bar with his engaging applications developed to motivate students from diverse majors and backgrounds. Thinking Mathematically, Fifth Edition, draws from the author's unique background in art, psychology, and math to present math in the context of real-world applications. Students in this course are not math majors, and they may never take a subsequent math course, so they are often nervous about taking the class. Blitzer understands those students' needs and provides helpful tools in every chapter to help them master the material. Voice balloons appear right when students need them, showing what an instructor would say when leading a student through the problem. Study tips, chapter review grids, Chapter Tests, and abundant exercises provide ample review and practice. The Fifth Edition's MyMathLab(R) course boasts more than 2,000 assignable exercises, plus a new question type for applications-driven questions that correlate to section openers in the textbook. Chapter Test Prep Videos show students how to work out solutions to the Chapter Tests; the videos are available on DVD, in MyMathLab, and on YouTube(TM).Hide synopsis
Description:Fair. 0321867327 -used book-book appears to be recovered-has...Fair. 0321867327 -used book-book appears to be recovered-has some used book stickers-free tracking number with every order. book may have some writing or highlighting, or used book stickers on front or back
Description:Fair in Hardback jacket. Book has cover wear. Inside pages have...Fair in Hard 0321867327 -used book-free tracking number with every...Good. 0321867327Reviews of Thinking Mathematically
Blitzer starts off with Inductive and Deductive reasoning and builds from there. Other chapters include Logic, Number Representation, Number Theory, Measurement , Geometry, Counting Methods, Probability Theory, Statistics, and ending with Mathematical Systems. Well written, easy to understand, using a calculator very beneficial. Contains answers for odd numbered problems.Highly recommended. Check for Ediitons with CD Rom and other
| 677.169 | 1 |
Matrix Algebra is a vital tool for mathematics in the social sciences, and yet many social scientists have only a rudimentary grasp of it. This volume serves as a complete introduction to matrix algebra, requiring no background knowledge beyond basic school algebra. Namboodiri's presentation is smooth and readable: it begins with the basic definitions and goes on to explain elementary manipulations and the concept of linear dependence, eigenvalues, and eigenvectors -- supplying illustrations through fully-worked examples.
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The author begins by introducing basic matrix concepts and terminology, moving quickly to matrix operations such as addition, multiplication, and inversion. The central concept of linear dependence of sets of matrix rows and matrix columns is then explored, including the implications of this concept for solving simultaneous linear equations. The final chapter introduces the concepts of determinants, eigenvectors and eigenvalues. Applications to principle components analysis are illustrated in the books closing sections.
I read this book as part of a three-week online review course in matrix algebra. Its strengths were the discussion of practical applications and its conciseness. These strengths are counterbalanced by disappointing weaknesses. The dense, formula-driven presentation style made the book hard to follow. A glossary and index would have greatly aided mastery of a large number of new terms and concepts. In the end, I was helped more in the class by free materials I found by searching the web than by this book. I was annoyed that I had purchased it.
After further searching, I became a grateful reader of Charles Cullen's Matrices and Linear Transformations, which is more clear, covers more material, includes numerous practice exercises--and requires less of a little green investment. Save yourself some pain and go directly to Cullen.
This is a great introduction to matrix algebra. It reads very easily and presents the basics in an intuitive way. While it lacks the dense details and proofs one might want in a more advanced book, it did give me a great framework in which to put those dense details into. I read this in a few days, and found my matrix algebra studies went much better afterward. This is a great investment for anyone preparing for an in depth study of matrix algebra, or anyone wanting to brush up on the basics.
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exciting books use full-color, and interesting, realistic illustrations to enhance reader comprehension. Also include a large number of worked examples that provide a good balance between initial, confidence building problems and more advanced level problems. Fundamental principles for solving problems are emphasized throughout.
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The student workbook includes a set of lesson review boxes accompanied by questions that provide practice for previously taught concepts and the concepts taught in the lesson. "Exploring Math Through..." sections help students understand how ordinary people use algebraic math, providing concrete examples of how math is useful in life. Students will need to supply paper to work the problems. 333 pages, softcover.
The teacher's guide includes the main concepts, lesson objectives, materials needed, teaching tips, the assignment for the day, and the reduced student pages with the correct answers supplied. Each lesson will take approximately 45-60 minutes, and is designed to be teacher-directed. Softcover.
Arranged by assignment category, the test & resource book includes 16 tests, 4 quarter tests, lesson worksheets, formula strips, nets supplements, and algebra tiles. Tests are designed to be given after all the lesson material is presented, generally after 10 days. Soft
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Author(s): PRENTICE HALL |Publisher: PRENTICE HALL | The smartest way to save money on your textbooks! Compare the prior version(pictured left) with ISBN: 0131804Author(s): PRENTICE HALL |Publisher: PRENTICE HALL | The smartest way to save money on your textbooks! Compare the prior version(pictured left) with ISBN: 01305478The Prentice-Hall mathematics series is designed to help students develop a deeper understanding of math through an emphasis on thinking, reasoning, and problem-solving. Comprehensive in scope, teachers may incorporate trigonometry, statistics, or pre-calculus readiness as well as more traditional topics. A mix of print and digital materials helps engage students with visual and dynamic activities alongside textbook instruction. In the Getting Ready to Learn portion of the lesson, Check your readiness exercises help students see where they might need to review before the lesson. Check skills you'll need list out the skills used in the lesson, and new vocabulary is listed before it's introduced. Sidebar helps tell students where to go for help in the textbook if they need to review, or...
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Author(s): PRENTICE HALL |Publisher: PRENTICE HALL | The smartest way to save money on your textbooks! Compare the prior version(pictured left) with ISBN: 01336938
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Connecting Geometry - Cathleen V. Sanders
A fully credited high school distance learning geometry course offered via the Internet to students throughout the Hawaiian islands as part of a grant-funded pilot project through the Hawaii Department of Education. During this E-School (electronic school)
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CS22: Discrete Math - Brown University
An introduction to discrete math with a focus on proof, logic, proof by induction, cryptography and networks of processors: lessons, homework, solutions, and information. "Discrete mathematics" refers to the distinction between discrete sets (for example,
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C.T.J. Dodson - Christopher Dodson
Dodson provides notes and Maple or Mathematica packages for many different mathematics courses, including algebra and pre-calculus, calculus, differential equations, using computers for mathematics and statistics, and an introductory course on curves,
...more>>
CyberStat - Rick Thomas
An introductory statistics course for high school students who would like to get a background in basic statistical concepts and learn to apply them in a variety of curricular and vocational fields. The course will also prepare you to take the new AP Statistics
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David Sumner's Home Page - David Sumner
Study guides, exams, quizzes, problem sets, exam review materials, utilities, programs and simulations, syllabi, and other materials for courses such as calculus, sequences and series, graph theory, number theory and cryptography, and probability. The
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D. J. Bernstein
Courses, research articles (in dvi format), and a list of available software, listed by a professor of mathematics and computer science at the University of Illinois. Pages are also listed by topic. Also at ftp://koobera.math.uic.edu/www/djb.html.
...more>>
eDscape - Computer Curriculum Corporation (CCCnet)
eDscape is CCC's professional development website for educators, with free online courses on using the Web and technology in the classroom, discussions and conferences, partner sites, and online stores (Simon & Schuster). You must register to participate
...more>>
Excel Math - Brad Baker, Janice Raymond, et al.
A curriculum that presents math in a spiraling fashion for kindergarten through sixth grade students. Features include self-correction through Excel Math's CheckAnswer system, which allows students to check their own work. Download a sample packet or
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The Expert Mathematician - James Jospeh Baker
A computer-mediated program of instruction to help middle school students develop the thinking processes necessary for mathematical planning, applications and communication. Expert Mathematician, which uses LOGO, suits cooperative learning and "guide
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Exploring Precalculus - William Mueller
A lively and intuitive introduction to precalculus. Materials center on three themes: functions, rates of change, and accumulation. Showing the subject from many angles, illustrations include algebraic, graph-based, and real-world examples, and feature
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Fermilab Education Office
Online explorations for students and teachers, plus information about field trips to Fermilab, student collaborations with Fermilab, student and teacher workshops, and links to other math and science education resources.
...more>>
Find OpenCourseWare with OCW Search - Pierre Far
An independent search engine that indexes all the course materials published freely online by universities that participate in the OpenCourseWare (OCW) initiative, including the Massachusetts Institute of Technology (MIT) and Stanford University. Search
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freemathtexts.org - Alain Schremmer
Original texts that emphasize a very few but very powerful ideas; appeal to common sense and make no assumption of any kind about the students; and focus on helping readers convince themselves about mathematics. Written for use in developmental mathematics
...more>>
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Beginning Algebra, Books a la Carte Edition
This edition features the exact same content as the traditional book in a convenient, three-hole- punched, loose-leaf version. Books a la Carte also ...Show synopsisThis edition features the exact same content as the traditional book in a convenient, three-hole- punched, loose-leaf version. Books a la Carte also offer a great value--this format costs significantly less than a new textbook. The Tobey/Slater/Blair/Crawford series builds essential skills one at a time by breaking the mathematics down into manageable pieces. This practical "building block" organization makes it easy for students to understand each topic and gain confidence as they move through each section. Students will find many opportunities to check and reinforce their understanding of concepts throughout the book This package contains: Books a la Carte for Beginning Algebra, Eighth Edition
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9780132208277 CD allows students the opportunity to practice exercises that correlate to the exercises at the end of the sections in the textbook. They are algorithmically generated so students can retry an exercise as many times as they would like with new values each time. Every exercise is accompanied by an example and an interactive guided solution that gives students helpful feedback if they enter an incorrect answer. Selected exercises also include a video clip so students can have help visualizing concepts.
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Introduction to Numerical Methods and Analysis
9780470049631
ISBN:
0470049634
Pub Date: 2007 Publisher: John Wiley & Sons Inc
Summary: Praise for the First Edition". . . outstandingly appealing with regard to its style, contents, considerations of requirements of practice, choice of examples, and exercises." -Zentrablatt Math". . . carefully structured with many detailed worked examples . . ." -The Mathematical Gazette". . . an up-to-date and user-friendly account . . ." -MathematikaAn Introduction to Numerical Methods and Analysis addresses the mat...hematics underlying approximation and scientific computing and successfully explains where approximation methods come from, why they sometimes work (or don't work), and when to use one of the many techniques that are available. Written in a style that emphasizes readability and usefulness for the numerical methods novice, the book begins with basic, elementary material and gradually builds up to more advanced topics.A selection of concepts required for the study of computational mathematics is introduced, and simple approximations using Taylor's Theorem are also treated in some depth.The text includes exercises that run the gamut from simple hand computations, to challenging derivations and minor proofs, to programming exercises. A greater emphasis on applied exercises as well as the cause and effect associated with numerical mathematics is featured throughout the book. An Introduction to Numerical Methods and Analysis is the ideal text for students in advanced undergraduate mathematics and engineering courses who are interested in gaining an understanding of numerical methods and numerical analysis.
Epperson, James F. is the author of Introduction to Numerical Methods and Analysis, published 2007 under ISBN 9780470049631 and 0470049634. Twenty eight Introduction to Numerical Methods and Analysis textbooks are available for sale on ValoreBooks.com, twenty one used from the cheapest price of $43.22, or buy new starting at $59.97
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Gary, IN CalculusI To me it is very important for a student to not only understand how to get an answer, but to also understand why they got that answer
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978-0-17-438467-0 / 017438467X
Shipping prices may be approximate. Please verify cost before checkout.
About the book:
The "MSM Mathematics" series offers an integrated and comprehensive assessment for GCSE mathematics. It provides a one-book-per-year mathematics course. There are worked examples and numerous graded exercises. The maths is set in the context of everyday life, involving investigations and project work, to provide approaches to all kinds of mathematical problem solving. The writing team has organized the mathematics covered by the National Curriculum into a series of topic-based sections within each book. Mathematical knowledge and skills are developed in line with current practice in maths teaching. The "MSM" series comprises course books at all levels. Books 1 and 2 provide maths for all abilities at Key Stage 3. Students of average ability can continue with the "x" series - books 3x, 4x and 5x. The "w" series provides support for students having difficulty with the maths covered in the books 1, 2, 3x-5x. The material in the "w" books is organized in the same sequence as the main course, but concentrates on the development of basic concepts for those students experiencing difficulties. The "y" series caters for more able students, providing maths for top grades of GCSE and preparation for Sixth-Form work leading up to Levels 9-10 at Key Stage 4.
Softcover, ISBN 017438467X Publisher: Nelson Thornes Ltd 21 of 21
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Softcover, ISBN 017438467X Publisher: Nelson, 1992 Used - Good. Good condition paperback pictorial laminated cover no DJ. 232 pages good and clean with clear print. No foxing, no previous names. The very first few of pages at the top right hand corner are starting to turn over. Illustrations throughout.
Softcover, ISBN 017438467X Publisher: Nelson Thornes Ltd, 1991 017438467X Publisher: Nelson Thornes Ltd, 1991 New edition. New edition.. Nelson Thornes Ltd. Spiral-bound Used - Good Ships from UK in 48 hours or less (usually same day). Your purchase helps support the African Children's Educational Trust (A-CET). Ex-library, so some stamps and wear, and may have sticker on cov
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Using Multiple Representations in Algebra (6-12) - E-Seminar ANYTIME
Product Details
Stock #
14116
ISBN #
Published
Pages
Grades
Grades 6-8, Grades 9-12,
See What's Inside
Product Description
Presenter: Edward C. Nolan, Montgomery Co. Public Schools, MD
Grade Band: Secondary
Description: Learn how to use multiple representations to help students in their problem solving. Examples will include solutions with multiple representations and how different representations can support different types of learners. Dynamic problems from Algebra 1 and Algebra 2 will demonstrate how representations allow students multiple access points to real world problems.
Note: You will receive a recording of this E-Seminar as well as a Site Facilitator GuideConnect the process of problem solving with the content of the Common Core. The first of a series, this book will help mathematics educators illuminate a crucial link between problem solving and the Common Core State StandardsAre you able to support your struggling students while also challenging your high achievers? Research clearly shows the value of using formative assessment to differentiate mathematics instruction, but putting it into practice can be daunting. This book makes it much easier! Staff development expert and former math teacher Leslie Laud provides a clear roadmap for using formative assessment to differentiate mathematics instruction for students in Grades 4-10, using strategies ideal for a Response to Intervention (RTI) modelThe National Council of Teachers of Mathematics is the public voice of mathematics education, supporting teachers to ensure equitable mathematics learning of the highest quality for all students through vision, leadership, professional development, and research.
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Websites that Help Students with High School Math
Read any article or ask any teacher about Common Core State Standards and you might see an eye roll or two. Common Core Standards are the new benchmarks that set common goals for students to achieve a standard level of aptitude in subjects across all 50 states. Perhaps at no time has it been more important for students, especially high school students, to be as prepared as possible for assessments of Common Core Standards as well as college aptitude exams such as the SATs and ACTs. Math proficiency is especially vital.
High school math may begin with algebra, but the learning curve extends to higher mathematics and sciences such as chemistry and physics. While every teacher tries to provide the attention every student needs, there is not enough time in the day and there are too many students in each class. Resources to help high school students stay on track and help them through more difficult areas of study are available in math websites, homework databases and lesson plans directories. In addition, many sites will offer games, videos and testing to help with high school math.
High School Math Websites
Math websites can range in design from simple problem-solving to advanced theories with additional site references. They can be divided by subject and grade level so that the student is not just visiting a page with numbers, but can focus on the type of mathematics where they may be experiencing difficulty in such as algebra, trigonometry, geometry and calculus. If the student is advanced and is still looking for math websites homework and math help on a higher level, there are also sites that cater to advanced placement mathematics and pre-college level math.
S.O.S. Mathematics
The developers of this site have been helping high school students achieve greater results in mathematics for 17 years. They have received numerous awards for their work and continue to provide a site that lends assistance in all areas of math. From explanations of theory to problem-solving equations, the information on this site is completely free. They also have a page entitled Cyberexam that offers quizzes and testing for each area of mathematics learning. Go to S.O.S. MathematicsMath.com
It does not have a catchy name, but Math.com has everything needed for a website that assists students with help in high school math. This site is easy to navigate with a drop-down menu on the side that contains choices for every subject of mathematics studied on a high school level. The site also includes a section where teachers may find information for lesson plans and a multitude of classroom resources. There is another section for parents who need help from the website's homework directory for their child. Go to Math.com.
Mathbits.com
This is one of the more easily navigable high school math sites on the Internet. The home page is laid out in a block format that is easy to read. Mathbits provides help in high school math and college-level math as well. The site also follows common core standards. In addition, Mathbits takes advantage of modern technology by offering high school math lessons and games in PowerPoint and for the iPad. Students can find additional resources such as scientific and graphing calculators and downloadable graph paper. Go to Mathbits.com.
Mathplanet.com
Another great site for help in high school math is mathplanet.com. This site is also well designed and offer lessons, examples and explanations that every high school math student needs. One unique attribute of this site is that they also have video lessons in many areas of mathematics. In addition, Mathplanet.com offers SAT and ACT tests with separate downloadable answer keys. Go to Mathplanet.com.
These are just a few of the better websites that provide help in high school mathematics. Each one provides lessons, explanations and resources that will assist students, parents and teachers in achieving success to prepare the for the future
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Major Requirements
Coursework Requirements
Students majoring in mathematics must complete MATH 115 and one of 116/120 (or the equivalent) and at least eight units of 200-level and 300-level courses. These eight units must include 205, 206, 302, 305, and two additional 300-level courses. (Thus a student who places out of 115/116 and starts in 205 requires only eight courses.) At most two of 206, 210 and 215 may be counted towards the major. These courses must be completed for the mathematics major:
Math 115: Calculus I and Math 116: Calculus II, or the equivalent
Math 205: Multivariable Calculus
Math 206: Linear Algebra
Math 302: Elements of Analysis I
Math 305: Abstract Algebra
At least two elective 300-level courses not counting any of 350, 360, 370.
A student may count Math 215/Phys 215 towards her mathematics major. However, she may count at most two of the course 206, 210, and 215 toward the major. Credit for Math 216/Phys 216 satisfies the requirement that a math major take 205, but cannot be counted as one of the 200- or 300-level units required for the major.
Major Presentation Requirement
Majors are also required to present one classroom talk in either their junior or senior year. This requirement can be satisfied with a presentation in the student seminar, but it can also be fulfilled by giving a talk in one of the courses whose catalog description says"Majors can fulfill the major presentation requirement in this course." In addition, a limited number of students may be able to fulfill the presentation requirement in other courses, with permission of the instructor
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This subreddit is responsible for answering questions about careers in Computer Science, Computer Engineering, Software Engineering, and other related fields. Respect the reddiquette, and reserve this space for questions concerning careers and degrees only. Please keep the conversation professional.
Interesting question. Basic algebra is a safe bet, I'd say. Some examples might require knowledge in linear algebra to fully appreciate, and others might be that way for discrete math. Luckily the subject matter doesn't really build upon itself directly a lot of the time (you can understand the basics of dynamic programming without understanding dykstras for example), so if you see something you don't understand you can possibly just skip it (like that matrix multiplication part near the start).
Thanks, I never had to take any advanced math classes in college (MINS major, only took algebra and stats), and after reading the first chapter I assumed it was only going to get more complex, and thought I was out of luck.
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Mathematical Excursions - Text Only - 04 edition
Summary: A new text for the liberal arts math course by a seasoned author team, Mathematical Excursions, is uniquely designed to help students see math at work in the contemporary world. Using the proven Aufmann Interactive Method, students learn to master problem-solving in meaningful contexts. In addition, multi-part Excursion exercises emphasize collaborative learning. The text's extensive topical coverage offers instructors flexibility in designing a course that meets the...show moreir students' needs and curriculum requirements. ...show less
Richard Aufmann is Professor of Mathematics at Palomar College in California. He is the lead author of two best-selling developmental math series, a best-selling college algebra and trigonometry series, as well as several derivative math texts. The Aufmann name is highly recognized and respected among college mathematics faculty. Lockwood, Joanne S. : Plymouth State College
Joanne Lockwood is Assistant Professor of Mathematics at Plymouth State College in Plymouth, New Hampshire. She is co-author with Aufmann and Vernon Barker on the hardback developmental series, Business Mathematics, Algebra with Trigonometry for College Students, and numerous software ancillaries that accompany Aufmann titles. She is also co-authoring Mathematical Excursions with Aufmann.
Section 4.1 Early Numeration Systems Excursion: A Rosetta Tablet for the Traditional Chinese Numeration System Section 4.2 Place-Value Systems Excursion: Subtraction Via the Nines Complement and the End Around Carry Section 4.3 Different Base Systems Excursion: Information Retrieval Via a Binary Search Section 4.4 Arithmetic in Different Bases Excursion: Subtraction in Base Two Via the Ones' Complement and the End Around Carry Section 4.5 Prime Numbers and Selected Topics from Number Theory Excursion: The Distribution of the Primes Section 4.6 Additional Topics from Number Theory Excursion: A Sum of the Divisors Formula
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Mathematics: a Simple Tool for Geologists [NOOK Book]
Overview
Uses geological examples to illustrate mathematical ideas. Contains a large number of worked examples, and problems for students to attempt themselves. Answers to all the questions are given at the end of the book.
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This Book
Overview
Uses geological examples to illustrate mathematical ideas. Contains a large number of worked examples, and problems for students to attempt themselves. Answers to all the questions are given at the end
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"Students and professors of an undergraduate course in the differential geometry will appreciate the clear exposition and comprehensive exercises in this book, that focuses on the geometric properties of curves and surfaces, one-and-two-dimensional objects in Enclidean space. The problems generally relate to questions of local properties (the properties observed as a point on the curve or surface) or global properties (the properties of the object as a whole). Some of the more interesting theorems explore relationships between local and global properties." "A special feature is the availability of accompanying online interactive java applets coordinated with each section. The applets allow students to investigate and manipulate curves and surfaces to develop intuition and to help analyze geometric phenomena."--BOOK JACKET
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Academics
Course Descriptions
MAT 098. Mathematical Skills. (3) Prerequisite: Placement by examination only.
A basic skills course in mathematical skills designed to prepare students for further coursework in Algebra. This course will be graded pass/fail based on an equivalent "C" as a pass. This course does NOT satisfy the Core Curriculum requirement in Area D-2 or D-3. Offered every semester.
MAT 099. Essentials of Algebra. (3) Prerequisite: Placement by examination only.
A basic skills course in algebra designed to prepare students for further coursework in Algebra or related Mathematical topics at the collegiate level. Students, who are not able to place into a 100 level math course or higher, are required to enroll in MAT 099. This course will be graded pass/fail based on an equivalent "C" as a pass. This course does NOT satisfy the Core Curriculum requirement in Area D-2 or D-3. Offered every semester.
MAT 121, 122. Mathematics for the Liberal Arts. (3, 3) Prerequisite: MAT 099 or suitable placement by examination.
A course on the methods and ideas of mathematics as they relate to the liberal arts. Topics such as sets, logic, mathematics and the fine arts, properties of functions, elementary probability and statistics, game theory social choice, financial mathematics, number theory, graph theory, and binary operations. Satisfies Core Curriculum in Area D-2 or D-3. MAT 121 offered fall semester; MAT 122 offered spring semester.
MAT 150. Precalculus Mathematics. (4) Prerequisite: A grade of "C" or better in MAT 111 or suitable placement by examination.
Fundamental principles of college algebra and trigonometry essential to the study of calculus. Emphasis on functions and their graphs, including polynomials, rational functions, exponential and logarithmic functions, and trigonometric functions. Satisfies Core Curriculum in Area D-2 or D-3. Offered every semester.
MAT 200. Applied Statistics. (3) Prerequisite: A grade of "C" or better in MAT 111 or suitable placement by examination.
A data-oriented approach to statistics by arguing from the sample to the population. Topics include combinatorics, random variables, sampling distributions, estimation, tests of statistical hypotheses, regression, correlation, ANOVA, and nonparametric methods. Satisfies Core Curriculum in Area D-2 or D-3. Offered every semester.
MAT 211. Calculus I—Differential Calculus. (4) Prerequisite: A grade of "C" or better in MAT 150 or placement by the department.
An introduction to single-variable calculus. Functions, limits and continuity, differentiation of algebraic and transcendental functions, introduction to integration and differential equations. Satisfies Core Curriculum in Area D-2 or D-3. Offered every semester.
MAT 212. Calculus II—Integral Calculus. (4) Prerequisite: A grade of "C" or better in MAT 211 or placement by the department.
Continuation of MAT 211. Applications of integration, integration techniques, indeterminate forms and improper integrals, sequences and series, parametric equations in the plane, polar coordinates, first and second order ordinary differential equations. Satisfies Core Curriculum in Area D-2 or D-3. Offered every semester.
MAT 221. Basic Concepts of Mathematics. (3)
Prerequisite: A grade of "C" or better in MAT 111 or placement by the department
MAT 221 is a content course for students intending to become elementary school or early child hood teachers. It is designed to improve, broaden and deepen proficiency, appreciation and understanding of mathematics. Content will include elementary number theory, problem solving strategies, numeration systems, fundamental operations, and algebra "C" or better is required for Elementary Education and Early Childhood majors.
Does NOT satisfy Core Curriculum requirements for Areas D-2 or D-3. Offered fall semester.
MAT 222. Geometry for Elementary Teachers. (3) Prerequisite: A grade of C or better in MAT 111 or placement by the department.
MAT 222 is a content course for students intending to become elementary school or early childhood teachers. A study to develop basic skills in probability and statistics, geometric intuition and fluency of such concepts as congruence, measurement, and similarity C or better is required for Elementary Education and Early Childhood majors.
Does NOT satisfy Core Curriculum requirements for Areas D-2 or D-3. Offered spring semester.
MAT 225. Survey of Higher Mathematics . (3) Prerequisite: A grade of "C" or better in MAT 212.
A transitional course to prepare students for upper-level courses in mathematics. Logic and proof techniques, set theory, functions, relations, cardinality, concepts of algebra, concepts of analysis. Recommended to be taken concurrent with MAT 213. Offered every fall beginning fall 2014.
MAT 335. Modern Geometry. (3) Prerequisite: A grade of "C" or better in MAT 225.
A study of modern geometry including history, current axiom systems, and alternate developments of geometry using coordinates, vectors, and groups. Required for state teacher certification in Mathematics. Offered spring even numbered years.
MAT 336. Methods of Teaching Secondary Mathematics. (3) Prerequisite: MAT 150 or higher. Completion of EDU 300 or higher
This course is designed to give teacher candidates practical training in the teaching of mathematics on the secondary level (9-12). Teacher candidates will become familiar with Common Core State Standards for mathematics instruction. They will develop an understanding of instructional strategies, activities, and materials essential for effective teaching of mathematics in secondary schools. Twenty-four hours of field experience will be required. Required for teacher certification in Mathematics. Open only to students in the Teacher Education Program. Does NOT satisfy Core Curriculum requirements for Areas D-2 or D-3. Offered Fall Semester.
MAT 338. Vector Analysis. (3) Prerequisite: MAT 225 with a grade of "C" or better and MAT 213.
A study of the algebra of vectors and the calculus of vector-valued functions. Topics include vector identities, space curves, and the gradient, divergence, and curl of vector functions. Also considered are line and surface integrals including the Divergence Theorem, Green's Theorem, and Stoke's Theorem. Offered at departmental discretion.
MAT 455. Number Theory. (3) Prerequisite: A grade of "C" or better in MAT 225.
Divisibility theory of integers, primes and their distribution, the theory of congruences, Fermat's and Wilson's theorems, number-theoretic functions, Euler's theorem. Offered at departmental discretion.
MAT 481. Junior Capstone Experience. (1) Prerequisite: Junior standing, open only to math majors.
This course is designed to give students experience and to improve their skill in reading, writing, and understanding mathematics and introduction to undergraduate research. Offered beginning Spring 2016.
MAT 482. Senior Capstone Experience. (1) Prerequisite: Senior standing, open only to math majors .
Continuation of MAT481, special emphasis will be on the completion a research project defined in MAT481 and an exit interview. Offered beginning Fall 2016.
MAT483. ACTUARIAL MATHEMATICS. (1) Prerequisite: MAT 351.
This course will provide direction to students wishing to take the first few actuarial examinations. Required of math majors with Actuarial Science concentration. Offered at departmental discretion.
MAT 490. Special Topics in Mathematics. (3) Prerequisite: Permission of instructor.
Topics to be selected by the instructor. Students may receive credit for more than one MAT 490 course, but students may not repeat the topics.
MAT 491. Independent Study. (1-3) Independent study in a selected field or problem area of mathematics. The topic or problem to be studied will be chosen in consultation with departmental faculty under whose guidance the study will be conducted. Subject to rules and regulations specified in the college catalog.
MAT 495, 496. Internship. (1-3, 1-3) Internships or practical experience in an approved program of study. Limited to majors in the department. Subject to regulations and restrictions specified in the catalog.
MAT 499. Senior Essay. (1-3) A project requiring scholarly research.
Topics to be selected by the instructor. Students may receive credit for more than one MAT 499 course, but students may not repeat the topics. Subject to rules and regulations specified in the catalog.
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Paired Data and the Rectangular Coordinate System. The Slope of a Line. The Equation of a Line. Linear Inequalities in Two Variables. Introduction to Functions. Function Notation. Variation. Summary. Review. Cumulative Review. Test. Projects.
Instructor's Edition. Great condition for a used book! Minimal wear. 100% Money Back Guarantee. Shipped to over one million happy customers. Your purchase benefits world literacy!61 +$3.99 s/h
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instructor annotated version printed on cover with all identical Students content with teaching tips, all solutions text only no access code. in factory plastic wrap Quicker ...shipper with tracking # Expedited shipping available with Priority mail for fastest delivery ReadUsing authentic data to make math meaningful to students, Jay Lehmann's algebra series uses a curve-fitting approach to model compelling, real-world situations, while answering the perennial question "But what is this good for?" Beginning with interesting data sets, students are asked to find models and derive equations to fit a scenario, helping them to understand functions graphically, numerically, and symbolically. Updated exercises, labs, and graphs deepen students' understanding of core concepts and keeps them motivated to learn
Related Subjects
Meet the Author
For more than twenty years, Jay Lehmann has taught at College of San Mateo, where he has received the Shiny Apple Award for excellence in teaching. He has worked on a NSF-funded grant to study classroom assessment and has performed research on collaborative directed-discovery learning. Jay has served as the newsletter editor for CMC3 (California Mathematics Council, Community College) for twelve years. He has presented at more than seventy-five conferences, including AMATYC, ICTCM, and T3, where he has discussed curve fitting and sung his "Number Guy" song.
Jay plays in a rock band called The Procrastinistas, who play at various clubs in the San Francisco Bay Area, where Jay, his wife Keri, and son Dylan reside. He plays a number of instruments including bass, guitar, piano, violin, and baritone. In addition to his elementary, intermediate, and combined algebra textbooks, Jay is currently writing a heist novel for high school students, which he hopes will be published before Dylan outgrows it. Dylan, a devoted drummer and artist, drafted many of the cartoons that are included in Jay's textbooks.
In the words of the author:
Before writing my algebra series, it was painfully apparent that my students couldn't relate to the applications in the course. I was plagued with the question, "What is this good for?" To try to bridge that gap, I wrote some labs, which facilitated my students in collecting data, finding models via curve fitting, and using the models to make estimates and predictions. My students really loved working with the current, compelling, and authentic data and experiencing how mathematics truly is useful.
My students' response was so strong that I decided to write an algebra series. Little did I know that to realize this goal, I would need to embark on a 15-year challenging journey, but the rewards of hearing such excitement from students and faculty across the country has made it all worthwhile! I'm proud to have played even a small role in raising peoples' respect and enthusiasm for mathematics.
have tried to honor my inspiration: by working with authentic data, students can experience the power of mathematics. A random-sample study at my college suggests that I am achieving this goal. The study concludes that students who used my series were more likely to feel that mathematics would be useful in their lives (P-value 0.0061) as well as their careers (P-value 0.024).
The series is excellent preparation for subsequent courses; in particular, because of the curve fitting and emphasis on interpreting the contextual meaning of parameters, it is an ideal primer for statistics. In addition to curve fitting, my approach includes other types of meaningful modeling, directed-discovery explorations, conceptual questions, and of course, a large bank of skill problems. The curve-fitting applications serve as a portal for students to see the usefulness of mathematics so that they become fully engaged in the class. Once involved, they are more receptive to all aspects of the
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Ancient they may be but they are still current today.
Before anyone can advise you on learning materials, we need to know about your current state of education.
While waiting for that - try the MIT OpenCourseware series of lessons ... these are college courses.
If you get stuck, you'll have some idea what you need to know first.
adjacent
#3
May25-14, 05:27 AM
PF Gold
P: 1,496
Quote by Mathmanman
They are ancient. So what books do I need to read to learn modern mathematics?
I studied how to add two numbers in pre-school. It was about 10 years ago. Arithmetic was invented more than 10000 years ago(I guess). It is ancient but without it, mathematics as a field would not be there.
Mathmanman
#4
May25-14, 09:41 PM
P: 60
What books or links are there that can teach me modern mathematics
Quote by adjacent
It is ancient but without it, mathematics as a field would not be there.
Yes, but my point is what books are there to learn modern mathematics.
micromass
#5
May25-14, 10:05 PM
Mentor
P: 18,331
Quote by Mathmanman
Yes, but my point is what books are there to learn modern mathematics.
Do you want to learn modern mathematics because it was invented less than 100 years ago?
What do you mean with modern mathematics anyway? Anything that was invented 100 years ago is fine? It will however likely have prerequisites that are more than 100 years old and that you will need to know.
SteamKing
#6
May25-14, 10:17 PM
Emeritus
Sci Advisor
HW Helper
Thanks
PF Gold
P: 6,554
Mathematics isn't like physics. There hasn't been a 'quantum' revolution in math in the last hundred years like with physics. which has upset all math done in earlier days.
Most of the plane and solid geometry taught in high schools and colleges today would be recognized by Euclid. The only new twists unfamiliar to Euclid would be the development of analytic geometry (17th century) and non-Euclidean geometry (19th and 20th centuries).
Algebra, trigonometry, calculus, analysis, etc. haven't been 'modernized' because their basic principles are still valid and useful. As you age and grow in experience, you'll learn that not everything newer than next week is necessarily better than what has come before. On those occasions where something truly revolutionary comes down the pike, people will stand up and take notice of it.
Mathmanman
#7
May26-14, 12:03 PM
P: 60
I'm not saying that those branches are useless, I am simply wanting to learn new subjects in mathematics.....
micromass
#8
May26-14, 12:06 PM
Mentor
P: 18,331
Quote by Mathmanman
I'm not saying that those branches are useless, I am simply wanting to learn new subjects in mathematics.....
But why not learn new subjects that are 200 or 100 years old?
Studying something recent (like 50 or 25 years old) is going to be virtually impossible right now, since you need to know the previous subjects really well. For example, something "recent" like noncommutative geometry won't make a lot of sense without first learning differential geometry, which is already 200 years old now.
Mathmanman
#9
May26-14, 08:13 PM
P: 60
Ok, so I learned algebra, trigonometry, differential and integral calculus, and linear algebra.
Can you provide me some resources that I need in prerequisite to the "recent" mathematics?
micromass
#10
May26-14, 08:55 PM
Mentor
P: 18,331
Quote by Mathmanman
Ok, so I learned algebra, trigonometry, differential and integral calculus, and linear algebra.
Can you provide me some resources that I need in prerequisite to the "recent" mathematics?
Any recent mathematics is good?
dextercioby
#11
May26-14, 11:47 PM
Sci Advisor
HW Helper
P: 11,927micromass
#12
May27-14, 08:01 AM
Mentor
P: 18,331
Quote by dexterciobyRight. The primary motivation should be "What do I enjoy and want to know more about?". This can be something rather modern like functional analysis, or something more older like differential geometry on curves and surfaces.
Unlike other sciences, math knowledge doesn't get outdated. It always remains true. Sure, every now and then everything gets expressed in a more abstract language, but that doesn't mean the old things aren't worth reading. In fact, the old stuff can be a very good motivator for the modern mathematics. It's not like biology (for example), where things that are 200 years old are often wrong now. Newer does not mean better in mathematics.
Mathmanman
#13
May29-14, 08:25 PM
P: 60
like I've already said before, I'm not saying that those branches are useless, I am simply wanting to learn new subjects in mathematics.....
micromass
#14
May29-14, 10:03 PM
Mentor
P: 18,331
Quote by Mathmanman
like I've already said before, I'm not saying that those branches are useless, I am simply wanting to learn new subjects in mathematics.....
So, any subject that was invented recently (= 50 years ago or later) is good?
Demystifier
#15
May30-14, 06:08 AM
Sci Advisor
P: 4,612
To see what the current modern topics in mathematics are about, for those who have already learned the "ancient" mathematics I recommend
T. Gowers (ed), The Princeton Companion to Mathematics
Mathmanman
#16
May30-14, 08:06 PM
P: 60
@micromass new subjects as in the one's i've never learned before......
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This is a free, online textbook that can be downloaded as a pdf. ISBN: 978-87-7681-624-7 - According to the website,...
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This is a free, online textbook that can be downloaded as a pdf. ISBN: 978-87-7681-624-7 - According to the website, "Mathematics is an exceptionally useful subject, having numerous applications in business, computing, engineering and medicine to name but a few. `Applied mathematics' refers to the study of the physical world using mathematics. This book approaches the subject from an oft-neglected historical perspective. A particular aim is to make accessible to students Newton's vision of a single system of law governing the falling of an apple and the orbital motion of the moon. The book and its associated volume of practice problems give an excellent introduction to applied mathematics.״
At this site it gives examples of how engineers have a hand in designing, creating, or modifying nearly everything we touch,...
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At this site it gives examples of how engineers have a hand in designing, creating, or modifying nearly everything we touch, wear, eat, see, and hear in our daily lives. It not only gives information to students but also to educators. It contains materials from science, technology, engineering, and mathematics. It is maintained on a regular basis and is easy to navigate threw.
In this book, the entire study consisted of basically five phases. In the present investigation, the definition of...
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In this book, the entire study consisted of basically five phases. In the present investigation, the definition of standardization has been adopted as given by Roger T. Lennon i.e. here standardization means to determine validity, reliability and norms of the test. The definition is also mentioned in "Measurement in Physical Education" by Donald K. Mathews (1978) The five phases are as follows: Phase I: Planning and preparation of a test set of 50 questions from Trigonometry for class IX. Phase II: Percentage of agreeability or content-cum-face validity with the help of subject experts and field experts. Phase III: Group try out for Item analysis. Phase IV: The final try-out to obtain reliability Phase V: Developing norms for the test. The above design of the study is also supported by Lee J. Cronbach (1984).
The electronic Journals Delivery Service (eJDS) Programme is geared to facilitate free access to current scientific...
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The electronic Journals Delivery Service (eJDS) Programme is geared to facilitate free access to current scientific literature. The goal is to distribute individual scientific articles via email to scientists in institutions in Third World countries that do not have access to sufficient bandwidth to download material from the Internet in a timely manner and/or cannot afford the connection. For more information about eJDS see:This lesson assumes a background understanding of the basic parameters for an exponential function and gives students an...
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This lesson assumes a background understanding of the basic parameters for an exponential function and gives students an opportunity to discover how exponential growth affects monetary stature. This gives students an opportunity to get comfortable with computations utilizing the exponential growth equation by integrating a popular culture cartoon to spark interest.
This is a Stand Alone Powerpoint on Fractions, Decimals, and Percents. It is intended for fifth grader learners, after the...
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This is a Stand Alone Powerpoint on Fractions, Decimals, and Percents. It is intended for fifth grader learners, after the learn about the connection between fractions, decimals, and percents. This can be used a review
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Course Outlines
MATH1020 – Intermediate Algebra
Credits:
3 (3/0/0)
Description:
This course includes equations of lines; systems of equations; rational expressions and equations; functions; radical expressions and equations; complex numbers; absolute value equations and inequalities; and solving quadratic equations using factoring, completing the square and the quadratic formula. Prerequisite: Completion of Math 0090 with a grade of C or higher or by placement exam.
Prerequisites:
MATH0090
Corequisites:
(None)
Competencies:
Identify functions and their graphs.
Evaluate and graph functions.
Find domains and ranges of functions.
Solve systems of two linear equations using graphing, substitution, and elimination.
Simplify rational expressions.
Solve rational equations.
Perform long and synthetic division of polynomials.
Simplify radical expressions.
Solve radical equations.
Perform operations on complex numbers.
Solve equations using factoring, the quadratic formula, and completing the square.
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8 is filled with tools to help you succeed in your math course. Here are some of the ways that Thomasson/Pesut, Experiencing Introductory & Intermediate Algebra Through Functions and Graphs, Third Edition can help you learn the material and pass the course: Objective Checkups At the end of each learning objective is a set of Checkup exercises. Try these Checkup exercises to make sure you understand the key concepts in each section-or as a warm-up to your homework assignment. The answers to all Checkups are given at the back of the text. Graphing Calculator Keystrokes In the Technology boxes and Calculator Exercises, you will find detailed graphing calculator keystrokes demonstrating how to access and use specific features of the calculator. This "built-in" graphing calculator instruction will familiarize you with how to best use your graphing calculator to learn the material. Chapter Review At the end of each chapter is an extensive set of tools to help you study for the test: a Vocabulary Review; Reflections, which question your knowledge of the major concepts in the chapter; a detailed Section-by-Section Review with examples and exercises; a second set of chapter review exercises called Mixed Review; and a practice Chapter Test accompanied by Test-Taking Tips. Review this "built-in" study guide to make sure you are fully prepared!
Table of Contents
Preface
ix
Prealgebra Review
1
(1)
Rational Numbers and the Number Line
2
(12)
Operations with Rational Numbers
14
(22)
Exponents, Roots, and Scientific Notation
36
(19)
Properties of Real Numbers and Order of Operations
55
(9)
Variables and Algebraic Expressions
64
(7)
Simplifying Algebraic Expressions
71
(8)
Equations and Inequalities
79
(14)
Formulas
93
(30)
Chapter Summary
106
(1)
Section-by-Section Review
107
(9)
Mixed Review
116
(3)
Chapter Test
119
(3)
Chapter Project
122
(1)
Relations, Functions, and Graphs
123
(67)
Tables of Values, Ordered Pairs, and Relations
124
(11)
Rectangular Coordinate System and Graphing
135
(17)
Functions and Function Notation
152
(9)
Analyzing Graphs
161
(29)
Chapter Summary
175
(1)
Section-by-Section Review
176
(7)
Mixed Review
183
(3)
Chapter Test
186
(2)
Chapter Project
188
(1)
Chapters P-l Cumulative Review
189
(1)
Linear Equations in One Variable
190
(165)
Solving Equations Numerically and Graphically
191
(16)
Solving Equations by Using Addition and Multiplication
207
(10)
Solving Equations by Using a Combination of Properties
217
(11)
Solving Equations or Formulas for a Specified Variable
228
(7)
More Real-World Models
235
(11)
Solving Linear Absolute-Value Equations
246
(22)
Chapter Summary
255
(1)
Section-by-Section Review
256
(5)
Mixed Review
261
(2)
Chapter Test
263
(2)
Chapter Project
265
(3)
Linear Equations and Functions
Graphing by Using the Intercept Method
268
(17)
Slope
285
(16)
Graphing by Using the Slope-Intercept Method
301
(11)
Coinciding, Parallel, and Perpendicular Lines
312
(12)
Writing Linear Equations from Given Data
324
(31)
Chapter Summary
339
(1)
Section-by-Section Review
340
(6)
Mixed Review
346
(3)
Chapter Test
349
(3)
Chapter Project
352
(1)
Chapters P-3 Cumulative Review
353
(2)
Systems of Linear Equations
355
(70)
Solving Systems of Two Equations Graphically
356
(11)
Solving Systems of Two Equations by the Substitution Method
367
(11)
Solving Systems of Two Equations by the Addition Method
378
(11)
More Real-World Models
389
(13)
Solving Systems of Linear Equations in Three Variables
402
(23)
Chapter Summary
414
(1)
Section-by-Section Review
415
(5)
Mixed Review
420
(2)
Chapter Test
422
(2)
Chapter Project
424
(1)
Linear Inequalities
425
(51)
Linear Inequalities in One Variable
426
(16)
Linear Inequalities in Two Variables
442
(13)
Systems of Linear Inequalities in Two Variables
455
(21)
Chapter Summary
465
(1)
Section-by-Section Review
466
(4)
Mixed Review
470
(2)
Chapter Test
472
(2)
Chapter Project
474
(1)
Chapters P-5 Cumulative Review
475
(1)
Polynomial Functions
476
(64)
Introduction to Polynomials
477
(9)
Polynomial Functions and Their Graphs
486
(17)
Quadratic Functions and Their Graphs
503
(14)
Writing Quadratic Functions
517
(23)
Chapter Summary
526
(1)
Section-by-Section Review
527
(7)
Mixed Review
534
(3)
Chapter Test
537
(2)
Chapter Project
539
(1)
Exponents and Polynomials
540
(60)
Operations Involving Nonnegative Exponents
541
(13)
Operations Involving Negative Exponents
554
(8)
Polynomial Addition and Subtraction
562
(8)
Polynomial Multiplication
570
(11)
Polynomial Division
581
(19)
Chapter Summary
591
(1)
Section-by-Section Review
592
(4)
Mixed Review
596
(1)
Chapter Test
597
(2)
Chapter Project
599
(1)
Factoring
600
(55)
Greatest Common Factors
601
(11)
Factoring Perfect-Square Trinomials, Differences of Squares, and Sums and Differences of Cubes
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The Manga Guide to Linear Algebra [electronic Resource]
Follow along in The Manga Guide to Linear Algebra as Reiji takes Misa from the absolute basics of this tricky subject through mind-bending operations like performing linear transformations, calculating determinants, and finding eigenvectors and eigenvalues. With memorable examples like miniature golf games and karate tournaments, Reiji transforms abstract concepts into something concrete, understandable, and even fun.
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Intermediate Algebra - With CD - 5th edition
Summary: KEY MESSAGE: Elayn Martin-Gay's developmental math textbooks and video resources are motivated by her firm belief that every student can succeed. Martin-Gay's focus on the student shapes her clear, accessible writing, inspires her constant pedagogical innovations, and contributes to the popularity and effectiveness of her video resources. This revision of Martin-Gay's algebra series continues her focus on students and what they need to be successful. Martin-Gay also strives to provid...show moree the highest level of instructor and adjunct support. KEY TOPICS: Real Numbers And Algebraic Expressions; Equations, Inequalities, And Problem Solving; Graphs and Functions; Systems of Linear Equations and Inequalities; Exponents, Polynomials, and Polynomial Functions; Rational Expressions; Rational Exponents, Radicals, and Complex Numbers; Quadratic Equations and Functions; Exponential and Logarithmic Functions; Conic Sections; Sequences, Series, and the Binomial Theorem MARKET: For all readers interested in intermediate algebra, and for all readers learning or revisiting essential skills in intermediate algebra through the use of lively and up-to-date applications
| 677.169 | 1 |
This StAIR (Stand Alone Instructional Resource) was created to help students understand Additive Inverses. This was intended...
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This StAIR (Stand Alone Instructional Resource) was created to help students understand Additive Inverses. This was intended for use by middle school students (6th - 7th graders). Students can use this resource by itself without assistance. It includes tutorials on the topic and questions for the students to complete to check their understanding as they work. There are links to videos and additional sites for further explanation and information, if needed.
This is a Stand Alone Instructinal Resource (StAIR) designed to teach and test students on their understanding of different...
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This is a Stand Alone Instructinal Resource (StAIR) designed to teach and test students on their understanding of different triangle classifications. It could be used as initial instruction, or as an effective review tool at the end of a unit/lesson on triangle classification.
The objective is to teach the Common Core Standard MCC7.SP.8 in which students must Investigate chance processes and develop,...
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The objective is to teach the Common Core Standard MCC7.SP.8 in which students must Investigate chance processes and develop, use, and evaluate probability models. Students must understand that samples spaces can be represented using organized lists, tables, and tree diagrams, use tree diagrams, list and tables to find probability of compound events and understand that all the possible outcomes of a compound event can derive from tree diagrams, lists and tables.
'Learn solving two equations system by example, by plugging the equation Coefficients. You will be able to build your...
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'Learn solving two equations system by example, by plugging the equation Coefficients. You will be able to build your examples, which is the best way to learn Algebra. This application provide step by step solution to the two equation system in additions to providing the value of x and y. Enter the equation Coefficients and see the full solution which can be sent as an email message.״Solve and email solutions with steps of the two equations two variables system.״Do you want to solve the "two equations, two variables" instantly?Ax + By = C [1]Dx + Ey = F [2]All you need to do is enter the values for A, B, C, D, E, and F and select Solve to get the values of X and Y. For Example, one can enter the following values3x + -2y = -4-3 + 5y = 8 Why go through the hassle of performing complex steps of solving the equations, when this program will not only solve your equations reliably, but also will always get you the correct results guaranteed. This program will help you focus on solving the bigger problems in physics, calculus, complex financial and Engineering problems. Why spend money and time programming your programmable calculator when you can use this program already on your iPhone or iPod Touch.Current features -(1) Show step by step solution(2) Able to email the equation, with the detailed solutionAlgebra Helper will help you in your Math problems, and this is the first application focusing on Linear Algebra, two equations, two variables problem.'This app costs $1.99
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...
More About
This Book
progressions, the Prime Number Theorem, and Rademacher's partition theorem.
We have made the proofs of these theorems as elementary as possible.
Unique to The Queen of Mathematics are its presentations of the topic of palindromic simple continued fractions, an elementary solution of Lucas's square pyramid problem, Baker's solution for simultaneous Fermat equations, an elementary proof of Fermat's polygonal number conjecture, and the Lambek-Moser-Wild theorem.
Editorial Reviews
Booknews
A textbook for first-year graduate or honors undergraduate students of mathematics. The only prerequisite for most of the book is pre-calculus mathematics, but many of the problems are not accessible to someone without several undergraduate mathematics course. Includes the standard topics of introductions to number theory, including divisibility theory, congruence, and quadratic reciprocity. Also proves that the circle cannot be squared
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Mathematical Thinking: Problem-Solving and Proofs
Aims to prepare students in the logical thinking skills, necessary to understand the fundamental ideas and proofs in mathematics. This text discusses ...Show synopsisAims to prepare students in the logical thinking skills, necessary to understand the fundamental ideas and proofs in mathematics. This text discusses mathematical language and proof techniques, applies them to questions in elementary number theory, and then develops additional techniques of proof through discrete and continuous mathematics.Hide synopsis
Description:New. 0132633930 New Book. Please allow 4-15 business days to...New. 01326339
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Teachers: Dr. F. Jordan Srour and Dr. George Turkiyyah Summary: This video lesson will introduce students to algorithmic thinking through the use of a popular field in graph theory --- social networking. Specifically, by acting as nodes in a graph (i.e. people in a social network), the students will experientially gain an understanding of graph theory terminology and distance in a graph (i.e. number of introductions required to meet a target person).
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More About
This Textbook
Overview
Gary Rockswold teaches algebra in context, answering the question, "Why am I learning this?" By experiencing math through applications, students see how it fits into their lives, and they become motivated to succeed. Rockswold's focus on conceptual understanding helps students make connections between the concepts and as a result, students see the bigger picture of math and are prepared for future courses.
Introduction to Functions and Graphs; Linear Functions and Equations; Quadratic Functions and Equations; More Nonlinear Functions and Equations; Exponential and Logarithmic Functions; Trigonometric Functions; Trigonometric Identities and Equations; Further Topics in Trigonometry; Systems of Equations and Inequalities; Conic Sections; Further Topics in Algebra
Related Subjects
Meet the Author
Dr. Gary Rockswold has been teaching mathematics for 25 years at all levels from seventh grade to graduate school, including junior high and high school students, talented youth, vocational, undergraduate and graduate students, and adult education classes. He is currently employed at Minnesota State University, Mankato, where he is a full professor of mathematics and the chair of the mathematics department. He graduated with majors in mathematics and physics from St. Olaf College in Northfield, Minnesota, where he was elected to Phi Beta Kappa. He received his Ph.D. in applied mathematics from Iowa State University. He has an interdisciplinary background and has also taught physical science, astronomy, and computer science. Outside of mathematics, he enjoys spending time
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Find a Friendswood PrealgebraThey will also learn used JavaScript in conjunction with HTML 5.0. I have been professionally involved in software development since 1980 and have built web applications using JavaScript, PHP, MySQL and platforms such as Elgg and WordPress. Finite math is often taught as mathematical models with applications
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...
Paperback Good 059 Item may show signs of shelf wear. Pages may include limited notes and highlighting. Includes supplemental or companion materials if applicable. Access codes ...may or may not work. Connecting readers since 1972. Customer service is our top priority.Read moreShow Less
PAPERBACK Good 0876283881 independently and apply math to their own lives. In line with the latest NCTM guidelines, this invaluable teacher's aid develops basic and advanced math skills through an effective combination of concrete exercises (manipulatives), pictorial models and cooperative learning experiences. For eay use, this handy resource is organized into the following eight sections, each covering conc3epts from a different area of mathematic
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interesting way of presentation... i like it...but if he use more diagrams or representations in number line it would have been better.
Salman Bashir (November 30, 1999 at 12:00 am)
This guy is awesome. Explained everything like a hero.
Matchbox201000 (November 30, 1999 at 12:00 am)
Very good lectures on the core concepts of real analysis, great videos
isaac asimov (November 30, 1999 at 12:00 am)
Is it me or Prof. Su sounds a bit like Mr.Mackey! Great course btw.
jorge alonso (November 30, 1999 at 12:00 am)
For a more thorough study on the construction of the number fields like the reals and the complex, I recommend Edmund Landeau's Foundations of Analysis. Most of the theorems are not hard to get but the ones that serve as a basis for many constructions are hard.
In the discussion about Relations nothing is said as to what an ordered pair is. In fact, the instructor said it isn't a set which is false. An ordered pair (x,y) is a set namely:(x,y) =: {{x}, {x, y}}. Also, the domain and range of relations was not mentioned. I do understand that these discussions belong in a course on set theory, but the instructor did bring up set theory ideas (unions, intersections, binary relations, functions, etc) and so domain and range of relations needs to be mentioned in this lecture since his about to construct the all important "set of rationales". If you ask me, I would clearly say this lecture is set theory ( the foundation of mathematics)
Bush Ninja (November 30, 1999 at 12:00 am)
If you use a calculator to split up a line, then you are using rational fractions.If you draw a square with straight edge and compass, you can't convince me it's a square. There will always be an atom unaccounted for.
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Synopses & Reviews
Publisher Comments:
"40 Puzzles and Problems in Probability and Mathematical Statistics" is intended to teach the reader to think probabilistically by solving challenging, non-standard probability problems. The motivation for this clearly written collection lies in the belief that challenging problems help to develop, and to sharpen, our probabilistic intuition much better than plain-style deductions from abstract concepts. The selected problems fall into two broad categories. Problems related to probability theory come first, followed by problems related to the application of probability to the field of mathematical statistics. All problems seek to convey a non-standard aspect or an approach which is not immediately obvious. The word puzzles in the title refers to questions in which some qualitative, non-technical insight is most important. Ideally, puzzles can teach a productive new way of framing or representing a given situation. Although the border between the two is not always clearly defined, problems tend to require a more systematic application of formal tools, and to stress more technical aspects. Thus, a major aim of the present collection is to bridge the gap between introductory texts and rigorous state-of-the-art books. Anyone with a basic knowledge of probability, calculus and statistics will benefit from this book; however, many of the problems collected require little more than elementary probability and straight logical reasoning. To assist anyone using this book for self-study, the author has included very detailed step-for-step solutions of all problems and also short hints which point the reader in the appropriate direction.
Synopsis:
Many puzzles and problems presented here are either new within a problem solving context or are variations of classical problems which follow directly from elementary concepts. A small number of particularly instructive problems is taken from previous sources.
Synopsis:
Probability Theory and Stochastic Processes <P>The present book is based on the view that cognitive skills are best acquired by solving challenging, non-standard probability problems. Many puzzles and problems presented here are either new within a proble
"Synopsis"
by Springer,
Many puzzles and problems presented here are either new within a problem solving context or are variations of classical problems which follow directly from elementary concepts. A small number of particularly instructive problems is taken from previous sources.
"Synopsis"
by Springer,
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Shipping prices may be approximate. Please verify cost before checkout.
About the book:
This excellent textbook introduces the basics of number theory, incorporating the language of abstract algebra. A knowledge of such algebraic concepts as group, ring, field, and domain is not assumed, however; all terms are defined and examples are given making the book self-contained in this respect. The author begins with an introductory chapter on number theory and its early history. Subsequent chapters deal with unique factorization and the GCD, quadratic residues, number-theoretic functions and the distribution of primes, sums of squares, quadratic equations and quadratic fields, diophantine approximation, and more. Included are discussions of topics not always found in introductory texts: factorization and primality of large integers, p-adic numbers, algebraic number fields, Brun's theorem on twin primes, and the transcendence of e, to mention a few. Readers will find a substantial number of well-chosen problems, along with many notes and bibliographical references selected for readability and relevance. Five helpful appendixes containing such study aids as a factor table, computer-plotted graphs, a table of indices, the Greek alphabet, and a list of symbols and a bibliography round out this well-written text, which is directed toward undergraduate majors and beginning graduate students in mathematics. No post-calculus prerequisite is assumed. 1977 edition. Paperback. Basic treatment, incorporating language of abstract algebra and a history of the discipline. Topics include unique factorization and the GCD, quadratic residues, number-theoretic functions.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 288 pages. 0.281 Used - Good. A great value for the avid reader! GOOD can range from a well cared for book in great condition to average with signs of slight wear. Overall, All text in great shape!
Softcover, ISBN 0486689069 Publisher: Dover Publications, 1996
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The Curriculum Principle
A curriculum is more than a collection of activities: it must be coherent,
focused on important mathematics, and well articulated across the
grades.
Mathematics is a highly interconnected and
cumulative subject. The mathematics curriculum therefore needs to introduce
ideas in such a way that they build on one another. Instead of seeing
mathematics as a set of disconnected topics, students should perceive the
relationships among important mathematical ideas. As students build connections
and skills, their understanding deepens and expands.
The curriculum also must focus on important
mathematics--mathematics that is worth the time and attention of students and
that will prepare them for continued study and for solving problems in a variety
of school, home, and work settings. The relative importance of particular
mathematics topics is likely to change over time. Topics such as recursion,
iteration, and the comparison of algorithms have emerged and deserve increased
attention because of their relevance.
Students should have opportunities to learn
increasingly more sophisticated mathematical ideas as they progress through the
grades. They should not spend a significant part of their instructional time
reviewing mathematics content. A well-articulated curriculum is necessary for
teachers at each level to know what mathematics their students have already
studied and will study in future grades.
The National Council of Teachers of Mathematics is the public voice of mathematics education, supporting teachers to ensure equitable mathematics learning of the highest quality for all students through vision, leadership, professional development, and research.
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"I was a first-generation college student in Australia," said Adrian Gentle, assistant professor of mathematics. "I went to what is equivalent to a large American state university in Melbourne. There was no opportunity for interaction with professors until the upper-level classes."
Gentle was searching for an institution of higher education with a teaching focus when he interviewed at USI. He published and did research, but he was looking for an intellectual environment that offered the one-on-one interaction with students.
"My agenda is to teach people about the powerful ideas of mathematics," Gentle said. "I'm an applied mathematician. I have a passion for it."
This semester Gentle teaches Calculus III, Linear Algebra, and Differential Equations at USI. Students who want to teach mathematics at the secondary level enroll in his classes as do students interested in careers that use mathematics.
Some individuals who complete degrees in math work in pure (or theoretical) mathematics while others work in applied mathematics. Students with a good background in fundamental mathematics have more options in terms of career possibilities.
"I encourage students to consider dual majors," said Gentle. "Math is a good match with finance, computer science, engineering, or other fields. The quantitative skills like problem solving and logical thinking that are learned in math are appreciated by employers."
USI junior doing student research
Over recent weeks Gentle has been working with USI junior Kyle Besing of Newburgh, Indiana.
Gentle said, "Kyle would come to the office to talk. During one visit he said, 'Do you have student research like other majors? My girlfriend is collecting data under the guidance of psychology faculty. Do you have anything like that in mathematics?'"
Gentle is now working with Besing on a project in numerical relativity, the computational brand of Einstein's famous theory. Besing is also learning about general relativity this semester in a Special Topics course taught by Shadow Robinson, assistant professor of physics.
Gentle said, "Undergraduates don't generally have the background knowledge to jump straight into a mathematical research project. As Kyle undertakes the computational part of the project, we will develop the mathematical concepts which underpin the calculations. I think he'll benefit intellectually from the research."
Besing plans to attend graduate school, earn a doctoral degree, and teach upper-level math at a university. His minor is physics.
Besing said, "Math is so much more than an answer to a math problem. I want to use math to find ways to describe the world."
Mathematical ability
Last semester Gentle taught a math modeling class, the first time it was offered recently. "The modeling class was about making assumptions and seeing where they lead, and less about finding an absolutely correct answer," he said.
In math modeling, techniques from algebra, calculus, probability, and other areas of mathematics are employed to solve problems arising in the biological, physical, and social sciences. Students start with a hypothesis of how a system could work such as a prediction about population growth, a disease outbreak, or consumer behavior toward a new product. Their mathematical formulation of the system can then be used to make predictions. Comparing the predictions to observations can then help improve the model.
Gentle said, "I see students cringe about math classes. But mathematics is more than arithmetic and algebra. There are some truly profound mathematical ideas."
He said, "To get from A to B you must first travel half the distance. But to get to the halfway point you need to first travel one quarter of the distance. To get a quarter of the way, you need to make one eighth of the total journey, and so on. In fact, to get from A to B you must make an infinite number of these smaller journeys, each of which takes time. Since there are an infinite number of them, we can argue that it's actually impossible to move from A to B. This is Zeno's Paradox, and it can be resolved mathematically."
Students of mathematics are sought for postgraduate study in almost every quantitative field. After he earned his Ph.D. at Australia's Monash University, Gentle took a Post doctoral (Postdoc) position at Los Alamos National Laboratory in New Mexico. The Postdoc Program offers the opportunity for candidates to perform research in a scientifically rich research environment.
Gentle's research is related to a revolutionary new branch of astronomy with the advent of a world-wide network of gravitational wave detectors. He explains that gravity is the weakest of the four fundamental physical interactions, and yet is almost solely responsible for the large-scale structure and evolutions of the universe. Einstein's geometric theory of gravity predicts the existence of black holes and gravitational waves. Using gravitation waves, researchers would be able to investigate the nature of the hypothetical dark matter and dark energy, thought by some to account for the majority of the mass in the universe.
Math across disciplines
The theoretical basis of the modern computer stems from the work of John von Neumann, Alan Turing, and other brilliant mathematicians of the 20th century.
Gentle said, "In the coming century the hottest area of applied mathematics will be in the biosciences. This exciting new interdisciplinary field is still in its infancy, but provides great opportunities for talented students."
The increasing pervasiveness of mathematics in every area of human activity, together with the enormous advances in the subject itself, indicates that mathematics in the next decades will be an exciting field.
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College Algebra
9780470226667
ISBN:
0470226668
Edition: 1 Pub Date: 2008 Publisher: Wiley & Sons, Incorporated, John
Summary: Form is related to function. An airplane wing has the form it does because of its lifting function. The pillars of the Parthenon and the girders of a skyscraper are shaped to the purpose of supporting their massive structures. Similarly, the form of an algebraic expression or equation reflects its function. Algebra: Form and Function Preliminary Edition introduces each function--linear, power, quadratic, exponential,... polynomial--and presents a study of the basic form of expressions for that function. Readers are encouraged to examine the basic forms, see how they are constructed, and consider the role of each component. Throughout the text, there are Tools sections placed at the ends of chapters to help readers acquire the skills they need to perform basic algebraic manipulations.
Hughes-Hallett, Deborah is the author of College Algebra, published 2008 under ISBN 9780470226667 and 0470226668. Forty six College Algebra textbooks are available for sale on ValoreBooks.com, forty five used from the cheapest price of $0.01, or buy new starting at $63.86.[read more]
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Southfield, MI CalculusVocabulary
c. Identifying the main ideas, and critical points of passages
d. How to identify inferences and conclusions
e.
...A student of Algebra 2 must expand upon his/her understanding of Algebra 1 to develop a robust understanding of more advanced algebraic concepts. This can be challenging, because advanced concepts require a student to have strong fundamentals and greater attention to detail. Towards the end of ...
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Solve problems involving average, including arithmetic mean and weighted average; find and interpret common measures of central
tendency (i.e., mean, sample mean, median, mode) and know which is the most meaningful to use in a given situation; find and
interpret common measures of dispersion (e.g., range, spread of data, standard deviation, outliers)
IV.b. Discrete Mathematics
Use and interpret statements that contain logical connectives (and, or, if—then) as well as logical quantifiers (some, all, none)
Solve problems involving the union and intersection of sets, subsets, and disjoint sets
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This Success Workbook tests the topics covered in the Success GCSE AQA Mathematics Foundation Revision Guide (2012 exams). The workbook offers accessible practice to help manage GCSE AQA Maths Foundation revision for the new specifications (both linear and modular) starting in 2010. *Helps build confidence through a clear and accessible layout *Makes test preparation easy with manageable content and reliable revision methods *Provides plenty of support with practice questions and tips & techniques *Pull-out answer booklet can be found in the centre of the book This workbook is for the new GCSE Maths specifications and is suitable for students starting the courses from September 2010 onwards. If you started your course before this date (e.g. in September 2009), you will be following a different specification and need the guide for the 2011 exams.
Book details
Published 01/06/2010
Publisher Letts Educational
ISBN 9781844192892
AQA Maths - Foundation Tier
5
5
1
1
It's a easy to use, good way to test your knowledg
Whilst you may never actually want to revise, it's a great way to test your knowledge and if, like me, you like to know the answer and work back to the sum when you get stuck, having the answers to hand is great. Good for all ages. I'm 44! My 14 year old loves it too.
30 December 2011
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History of Mathematics : An Introduction - 2nd edition
Summary: One of the leading historians in the mathematics field, Victor Katz provides a world view of mathematics, balancing ancient, early modern, and modern history.
Written by one of the most well known math historians. The First Edition won the Watson Davis prize of the History of Science Society in 1995 for book on history accessible to beginners.
Chapter openers include a vignette and quotation to ...show moreadd motivation and human interest.
Boxed biographies are easily found outlines of individuals; they do not interrupt flow of main text.
Focus essays present summaries of arguments about important ideas.
Chronology of major mathematicians at chapter ends gives a quick overview of important events and people.
Problems are taken from original sources enabling readers to understand how mathematicians in various times and places solved math problems.
Discussion questions promote group work and can be used by future teachers to design lessons for elementary/secondary level math classes.
An annotated bibliography at each chapter end provides easy reference to sources for more information.
Includes a phonetic pronunciation guide in an appendix.
Up to date-uses results of very recent scholarship in the subject.
Exercises are better balanced in level of difficulty.
Offers a more global perspective. Integrates more non-Western coverage including contributions from Chinese, Indian, and Islamic mathematics/mathematicians. Also includes a chapter covering math techniques from other cultures.
Ancient Mathematics The Beginnings of Mathematics in Greece Archimedes and Apollonius Mathematical Methods in Hellenistic Times The Final Chapters of Greek Mathematics
PART II: MEDIEVAL MATHEMATICS: 500-1400
Medieval China and India The Mathematics of Islam Mathematics in Medieval Europe Mathematics Around the World
PART III: EARLY MODERN MATHEMATICS: 1400-1700
Algebra in the Renaissance Mathematical Methods in the Renaissance Geometry, Algebra, and Probability in the Seventeenth Century The Beginnings of Calculus
PART IV: MODERN MATHEMATICS: 1700-2000
Analysis in the Eighteenth Century Probability, Algebra, and Geometry in the Eighteenth Century Algebra in the Nineteenth Century Analysis in the Nineteenth Century Geometry in the Nineteenth Century Aspects of the Twentieth Century
Answers to Selected Problems General References in the History of Mathematics Index and Pronunciation Guide
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introductory textbook on the design and analysis of algorithms. The author uses a careful selection of a few topics to illustrate the tools for algorithm analysis. Recursive algorithms are illustrated by Quicksort, FFT, fast matrix multiplications, and others. Algorithms associated with the network flow problem are fundamental in many areas of graph connectivity, matching theory, etc. Algorithms in number theory are discussed with some applications to public key encryption. This second edition will differ from the present edition mainly in that solutions to most of the exercises will be included.
Editorial Reviews
Review
"[The examples] are selected with great care and enable the reader to concentrate directly on the main features of the demonstrated topics. . . . The book can be warmly recommended to those willing to learn (or teach) basic ideas of computational mathematics." -EMS Newsletter, March 2004
About the Author
Herbert S. Wilf is the Thomas A. Scott Professor of Mathematics at the University of Pennsylvania. In 1998 he received the Leroy P. Steele Prize for Seminal Contribution to Research, awarded by the American Mathematical Society, and in 1996 he was awarded the Deborah and Franklin Tepper Haimo Award for Distinguished College or University Teaching of mathematics.
Most Helpful Customer Reviews
I have really enjoyed this book. It introduces all the mathematical stuff at the beginning, and draws the clear link between recurrences and differential equations. I find this way of doing things very handy and far surerior to the way famous books on algorithms like Cormen et al. does it. To a fresh student taking his or her first course in algorithms it may be a rough start, but it is definitely an interresting book.
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to add onto ace's answer...
topology, which includes knot theory and such
discrete mathematics
number theory - includes analysis...like complex, numberical, etc etc
euclidean geometry
graph theory
algebra - includes Combinatorics
there are really too many to list...and they are all so interesting.
Answer by Dave
Submitted on 1/11/2004
Rating:
Rate
this answer:
I forgot to mention Probability and Statistics; I guess I would make a seperate section for them.
Also Differential Geometry should go under Geometry and Topology.
Number Theory should go under Algebra, but part of Number Theory also uses techniques from Analysis.
Model Theory should go with Logic.
Then there are branches wich are a mixture of other branches, like Algebraic Geometry and K-Theory.
Answer by Dave
Submitted on 1/13/2004
Rating:
Rate
this answer:
My first post got messed up.
I would be happy to explain what some of these branches are. I know more about some branches than others.
Mathematical Analysis:
The essential ingredient of analysis is the use of infinite processes, involving passage to a limit. For example, the area of a circle may be computed as the limiting value of the areas of inscribed regular polygons as the number of sides of the polygons increases indefinitely. The basic branch of analysis is the calculus. The general problem of measuring lengths, areas, volumes, and other quantities as limits by means of approximating polygonal figures leads to the integral calculus. The differential calculus arises similarly from the problem of finding the tangent line to a curve at a point. Other branches of analysis result from the application of the concepts and methods of the calculus to various mathematical entities. For example, vector analysis is the calculus of functions whose variables are vectors. Here various types of derivatives and integrals may be introduced. They lead, among other things, to the theory of differential and integral equations, in which the unknowns are functions rather than numbers, as in algebraic equations. Differential equations are often the most natural way in which to express the laws governing the behavior of various physical systems. Calculus is one of the most powerful and supple tools of mathematics. Its applications, both in pure mathematics and in virtually every scientific domain, are manifold.
AS FAR AS I KNOW THE BRANCHES ARE
NUMBER THEORY
TRIGONOMETRY
TOPOLOGY
MODELLING
CALCULUS
ANALYSIS
PROBABILITY
ALGEBRA
ALGEBRAIC GEOMETRY
GEOMETRY
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Complete Library Skills, Grade K-2
by School Specialty Publishing Publisher Comments
A visit to the library is an experience that young children enjoy. These books will teach them that the librarian is a person who canprovide them with a wealth of information in place where theirimaginations can soar. Topics covered range from: teaching... (read more)
Fundamentals of Differential Equations (8TH 12 Edition)
by R. Kent Nagle Publisher Comments
Fundamentals of Differential Equations presents the basic theory of differential equations and offers a variety of modern applications in science and engineering. Available in two versions, these flexible texts offer the instructor many choices in... (read more)
Elements of Information Theory (2ND 06 Edition)
by Thomas M. Cover Publisher Comments
The latest edition of this classic is updated with new problem sets and material The Second Edition of this fundamental textbook maintains the book's tradition of clear, thought-provoking instruction. Readers are provided once again with an instructive... (read more)
iPhone: The Missing Manual
by David Pogue. Publisher Comments
Answers found here! In iOS 7, Apple gave the iPhone the most radical makeover in its history. The new software is powerful, sleek, and a perfect companion to the iPhone 5s and 5c—but its wildly different. Fortunately, David Pogue is back with... (read more)
Mathematics for College Physics
by Biman Das Publisher Comments
This book is designed to help readers get up to speed quickly on the mathematical concepts and tools needed to solve basic physics problems. Instead of a rigorous development of the concepts of mathematics (as is found in a typical math book), it... (read more)
Finite Fields; Theory and Applications; Proceedings.
by Dublin). International Conference On Finite Fields And Applications (9th: 2009: Ireland Book News Annotation
This work contains 28 papers from a July 2009 conference on theory
and applications of finite fields, including survey papers by all
invited speakers as well as selected contributed papers by finite
field researchers. Papers reflect the growing... (read more)
An Imaginary Tale: The Story of the Square Root of -1
by Paul J. Nahin Publisher Comments
In "An Imaginary Tale", Paul J. Nahin tells the 2,000-year-old history of one of mathematics most elusive numbers, the square root of minus one, re-creating the baffling mathematical problems that conjured it up and the colorful characters who tried to... (read more)
Graduate Texts in Mathematics #184: Modern Graph Theory
by Bela Bollobas Publisher Comments
An in-depth account of graph theory, written for serious students of mathematics and computer science. It reflects the current state of the subject and emphasises connections with other branches of pure mathematics. Recognising that graph theory is one... (read more)
First Course in Differential Equations (10TH 13 Edition)
by Dennis G. Zill Publisher Comments
A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS, 10th Edition strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This proven and accessible book speaks to... (read more)
Kiss My Math: Showing Pre-Algebra Who's Boss
by Danica Mckellar Publisher Comments
Read Danica McKellar's posts on the Penguin Blog. The New York Times bestseller-from the author of Math Doesn't Suck and Hot X: Algebra Exposed-teaches girls how to kick pre-algebra butt In her New York Times bestselling books, actress and math genius... (read more)
Large Sample Inference for Long Memory Processes
by Liudas Giraitis Publisher Comments
A discrete-time stationary stochastic process with finite variance is said to have long memory if its autocorrelations tend to zero hyperbolically in the lag, i.e. like a power of the lag, as the lag tends to infinity. The absolute sum
| 677.169 | 1 |
Understanding Elementary Algebra With Geometry - A Course for College Students - With CD - 6th edition
Summary: Hirsch and Goodman offer a mathematically sound, rigorous text to those instructors who believe students should be challenged. The text prepares students for future study in higher-level courses by gradually building students' confidence without sacrificing rigor. To help students move beyond the "how" of algebra (computational proficiency) to the "why" (conceptual understanding), the authors introduce topics at an elementary level and return to t...show morehem at increasing levels of complexity. Their gradual introduction of concepts, rules, and definitions through a wealth of illustrative examples -- both numerical and algebraic--helps students compare and contrast related ideas and understand the sometimes-subtle distinctions among a variety of situations. This author team carefully prepares students to succeed in higher-level mathematics. ...show less
Types of Equations. Solving First-Degree Equations in One Variable and Applications. More First-Degree Equations and Applications. Types of Inequalities and Basic Properties of Inequalities. Solving First-Degree Inequalities in One Variable and Applications.
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The first five chapters consist of a systematic development of many of the important properties of the real number system, plus detailed treatment of such ...
More About
This Book
The first five chapters consist of a systematic development of many of the important properties of the real number system, plus detailed treatment of such concepts as mappings, sequences, limits, and continuity. The sixth and final chapter discusses metric spaces and generalizes many of the earlier concepts and results involving arbitrary metric spaces.
An index of axioms and key theorems appears at the end of the book, and more than 300 problems amplify and supplement the material within the text. Geared toward students who have taken several semesters of basic calculus, this volume is an ideal prerequisite for mathematics majors preparing for a two-semester course in advanced calculus
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Finally, math is about more than just solving problems - it's about understanding and communication. Those who can "speak" math - who understand and can use the logic and the lingo - have a better chance at getting ahead in the world than those who can't. My goal is to help you find methods you
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Douglasville Algebra 2All levels welcome. Prealgebra is the foundation that is necessary for even a general understanding of math. It covers subjects areas that are utilized in all math problems, so it is essential to gain a foothold before proceeding with any higher level math
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paperback copy is in excellent condition. The text is unmarked and the binding is sturdy. Eligible for FREE Super Saving Shipping. Fast shipping with tracking information and a hassle free return policy mean your satisfaction isRecommended with confidence" by The Times Literary Supplement, this lively survey starts with simple arithmetic and algebra and proceeds by gradual steps through graphs, logarithms, and trigonometry to calculus and the world of numbers. Generations of readers have found it the ideal introduction to mathematics, offering accessible explanations of how theory arises from real-life applications. "The main object of this book is to dispel the fear of mathematics," declares author W. W. Sawyer, adding that "Many people regard mathematicians as a race apart, possessed of almost supernatural powers. While this is very flattering for successful mathematicians, it is very bad for those who, for one reason or another, are attempting to learn the subject." Now retired, Sawyer won international renown for his innovative teaching methods, which he used at colleges in England and Scotland as well as Africa, New Zealand, and North America. His insights into the pleasures and practicalities of mathematics will appeal to readers of all backgrounds.
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Why read fiction when you can learn how to do something. That has been my philosophy since I started reading. While I've read my share of fiction, it is the instructional non-fiction books that have always gotten my attention and I have read innumerable volumes. The reason for this introduction is to impress upon you the weight of my next statement:
This is the best book I have ever read!
I am not an educator, nor am I a mathematician, but there is not a sentence in this book that hasn't found its way into my personal philosophy of learning and education. I first read this book when I was in college, not as part of a course, but to "read around the subject" to paraphrase W.W. Sawyer. This was over 20 years ago, and recently I was reading through this book again and was astonished at how much of his advice and ideas had become part of who I am.
Just some fragments of his ideas:
1.) First study books that contain material you know 90% of, and then learn the remaining 10%. 2.) Read around a subject 3.) To learn a language, start with little children's books in that language. 4.) To learn to draw, sit on a bus and draw everything you see. 5.) Learn by doing. 6.) Develop an interest in the subject you want to learn.
And there are countless others. These sound obvious, and I am certainly not doing him justice. Read for yourself and you will be amazed at how all of this is woven into an inspiring and easy to read book that, by the way, contains some discussion of mathematics! How many authors do you know that not only teach you their subject, but teach you how to learn any subject!
This is a book that should be read by every teacher and by every student.
This is a great book. Highly recommended by me to be read by everyone especially students who fear mathemtics. "So long as a subject seems dull, you can be sure that you are approcahing it form the wrong angle" - W.W.Sawyer
One of the best books on maths - ever. I first read it in 1966 and then, again, recently. It "explains" maths in the most simple, enjoyable and humorous way covering arithmetic, algebra, geometry, graphs, calculus, trig and, of course how to study this subject. If you have ever had difficulty with maths - read this book. If you teach maths then this approach should be your route map if true learning by your students is important to you. An excellent book which has stood the test of time - first published in 1947!
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Algebra for College Students
9780495105107
ISBN:
0495105104
Edition: 8 Pub Date: 2006 Publisher: Thomson Learning
Summary: Kaufmann and Schwitters have built this text's reputation on clear and concise exposition, numerous examples, and plentiful problem sets. This traditional text consistently reinforces the following common thread: learn a skill; use the skill to help solve equations; and then apply what you have learned to solve application problems. This simple, straightforward approach has helped many students grasp and apply fundam...ental problem solving skills necessary for future mathematics courses in an easy-to-read format. The new Eighth Edition of ALGEBRA FOR COLLEGE STUDENTS includes new and updated problems, revised content based on reviewer feedback and a new function in iLrn. This enhanced iLrn homework functionality was designed specifically for Kaufmann/Schwitters' users. Textbook-specific practice problems have been added to iLrn to provide additional, algorithmically-generated practice problems, along with useful support and assistance to solve the problems for students.
Kaufmann Schwitters Staff is the author of Algebra for College Students, published 2006 under ISBN 9780495105107 and 0495105104. Thirty six Algebra for College Students textbooks are available for sale on ValoreBooks.com, twelve used from the cheapest price of $4.23, or buy new starting at $31.46.[read more0495105104 0495105104
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Various elementary techniques for solving problems in algebra, geometry, and combinatorics are explored in this second edition of Mathematics as Problem Solving. Each new chapter builds on the previous one, allowing the reader to uncover new methods for using logic to solve problems. Topics are presented in self-contained chapters, with classical solutions as well as Soifer's own discoveries. With roughly 200 different problems, the reader is challenged to approach problems from different angles.
Mathematics as Problem Solving is aimed at students from high school through undergraduate levels and beyond, educators, and the general reader interested in the methods of mathematical problem solving.
Editorial Reviews
Review
From the reviews:
"How does one describe a mathematician? I know no better way than to read this delightful book. For Alexander Soifer has not just written another book about mathematics. He has opened up his heart---and in the process his great love for mathematics, his creative ability, his respect for and skill in teaching, his joy in living all shine through. I invite you to come meet a dear friend and share his exhilaration and insight." --- PHILIP L. ENGEL
From the reviews of the second edition:
"...this book can be the portal that leads the reader into the world of mathematics." --- Cristinel Mortici (Targoviste)ür Mathematik,Zentralblatt f
"This is a very readable collection of interesting problems of varying levels of difficulty. … It is so delightfully written that anyone who simply likes working on challenging problems could read it independently. … More than 150 problems are included in this collection. … helpful for an instructor who is looking for ways of integrating problem solving into a particular course, and might be useful for coaching a mathematics competition team. This … book would be a good resource for an instructor or coach." ---Sr. Barbara E. Reynolds,The Mathematical Association of America
"The author grew up in the problem solving atmosphere in Moscow and collected about 200 problems from his experience in mathematical clubs, schools, and Olympiads. … Many problems … are discussed in detail and in a way that can be followed easily. So the book can also be recommended to young students." (H. Humenberger, Monatshefte für Mathematik, Vol. 159 (1-2), January, 2010)
"Clearly attractiveness of problems and beauty of solution have been major criteria in the selection for this book. The author devised many of the problems, and his enthusiasm is evident. … I am confident that readers will find this book to be a valuable showcase for 'what (pure) mathematics is really like'." (John Baylis, The Mathematical Gazette, Vol. 95 (532), March, 2011)
From the Back Cover
Retelling the best solutions and sharing the secrets of discovery are part of the process of teaching problem solving. Ideally, this process is characterized by mathematical skill, good taste, and wit. It is a characteristically personal process and the best such teachers have surely left their personal marks on students and readers. Alexander Soifer is a teacher of problem solving and his book, Mathematics as Problem Solving, is designed to introduce problem solving to the next generation.
--Cecil Rousseau
The American Mathematical Monthly
The problems faithfully reflect the world famous Russian school of mathematics, whose folklore is carefully interwoven with more traditional topics. Many of the problems are drawn from the author's rich repertoire of personal experiences, dating back to his younger days as an outstanding competitor in his native Russia, and spanning decades and continents as an organizer of competitions at the highest level.
--George Bersenyi
The book contains a very nice collection of problems of various difficulty. I particularly liked the problems on combinatorics and geometry.
--Paul Erdos
Professor Soifer has put together a splendid collection of elementary problems designed to lead students into significant mathematical concepts and techniques. Highly recommended.
--Martin Gardner
To assemble so much material of the type used in Mathematical Olympiads, which has been tried and tested there, is unusual. To then present it in a form which develops themes, supported by relevant examples and problems for the reader, does the author great credit.
More About the Author
I was once born in Moscow to the family of a painter and an actress. There I received my music and math education, became a "Moscow intellectual", and as such I felt a burning desire of freedom - freedom personal, political, and creative. Half a life ago, I left the familiar landscape in search of freedom. I found it in the United States. In a curious way, I repeated the American history in my personal life. In 1978 I came to Plymouth Rock, by then called Boston. I wintered there, and moved west. I crossed the whole country from Boston to Los Angeles in a covered wagon with "U-Haul" written on its side. It leaked quite authentically! In Los Angeles, I made a U-Turn in my U-Haul, and returned to the picturesque Colorado to take a new job. I have been a professor at the University of Colorado ever since, for 30 years, with a recent 3-year long excursion to Princeton and Rutgers universities. I have taught courses in math, such as "What is Mathematics?", "Mathematical Coloring Course", "Mathematics: A Human Endeavor". I have also taught "Russian Avant-Garde Art of the Early XX Century" and many European film courses, such as "Andrzej Wajda and Cinema of Poland", "Michelangelo Antonioni and Post W.W.II Cinema of Italy", "Russian Cinema Today." I write books touching on mathematics, history, biography, and art. All my present and near-future books will be published by Springer. 18-year long investigation into Ramsey Theory and the lives of its creators resulted in what truly could be called the book of my life, "The Mathematical Coloring Book:
Next to come out in Springer are: *) "Mathematics as Problem Solving" **) "How Does One Cut a Triangle?" ***) "Geometric Etudes in Combinatorial Mathematics" ****) "Life and Fate: In Search of Van der Waerden" *****) "Problems of pgom Erdos" - a joint book with my legendary late friend, coauthor and friend Paul Erdos.
I will then write books that do not yet have a publisher:
*) "On Both Sides of the Atlantic: Adventures of a Mathematician." **) "Memory in Flashback" - a book of maxims in the style of Hugo von Hofmannsthal's 1922 "Buch der Freunde."
The 1-year old collie Pastushok ("Little Sheppard") lives with me. We are musing that one day we will be joined by our Muse :-).
Most Helpful Customer Reviews
Quite frankly, I am disappointed by the book's content. I certainly would not recommend to use this material as a textbook for an undergraduate or graduate students (as the author recommends), maybe for high school students at best. The problem solving solutions presented in the material could have been more sophisticated, given the author's background. The book is not worth the price it is listed for. The great alternative I found is the book by A. M. Yaglom, which offers much wider set of problems and truly challenges the reader to test his/her problem-solving skills.
The book is apparently mislabeled. Judging by the cover, I would assume it would give me a (hopefully solid) foundation for applying math to solve some real-world problems. Wrong! Instead, you have a bunch of entry-level mathematical concepts randomly assembled together with no clear structure or reasoning behind it. High-school algebra? You got it. Geometry? Go ahead! Combinatorics? Let's throw some in for good measure! And I'd like Chipotle with that, please.
Furthermore, the language is horrendous - it appears that zero editing has been done on this work, which is even more concerning given that the author is not a native English speaker.
I reckon that the only people who could potentially find value in this book are those who had once made skipping their math classes a deliberate, conscientious, and focused effort - but I doubt those are in the market for one.
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In this derivative worksheet, students find the derivative of given functions and find the equation of a tangent line to a curve. They differentiate functions and work velocity and acceleration functions. This two-page worksheet contains five multi-step problems.
Students solve problems with exponential growth and decay. In this calculus lesson, students relate exponential functions to infestation and extermination. They take the derivative to find their answer.
In this 2-day lesson focused on exponents, middle schoolers will cross the curriculum by engaging in science, history and language arts activities. Exponential growth will be explored using grains of rice on a chess board. Exponential power, as well as the power of one, will be connected to a historical event as a way for the class to make connections to real-world events.
Students explore a variety of relationships using pennies, pressure, temperature, light and pendulums to determine the algebraic equation that best represents the pattern modeled by the variables involved in each situation.
Investigate logistic functions in a world population setting. High schoolers will create a scatter plot of the world population from 1950 to 2050 to find a logistic function to model the data. They then discuss the end behavior of their logistic model. Graphing calculators are needed.
High schoolers investigate logistic models by making a scatter plot of internet phone users over 5 years. They find a logistic model that fits their data and then discuss what the instantaneous rate of change means in the context of the problem. Very relevant and applicable!
Students explore the concept of exponential growth. In this exponential growth instructional activity, students manipulate power models with base 2. Students discuss what would happen if you doubled a penny over the course of 20 days. Students graph their results using a scatterplot.
Twelfth graders investigate exponential decay. In this Calculus lesson, 12th graders explore Newton's Law of cooling which can be modeled by a differential equation. Students use the model to solve a murder as they examine the temperature of a body to determine time of death.
Students explore the concept of logarithms. In this logarithms lesson plan, students discuss the logarithm properties. Students use linear functions as a basis to develop the logarithm properites by substituting log b and log a for x and y.
For this derivatives worksheet, students solve 11 short answer and graphing problems. Students find inflection points, increasing and decreasing intervals, maximums and minimums, and graph an exponential derivative. Students use the quotient rule to find the derivative.
For this precalc lesson, students write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
Twelfth graders examine the Taylor Series. In this calculus lesson, 12th graders explore the representation of a function as an infinite sum of terms calculated form the values of its derivatives at a single point, hence the Taylor Series. Students use a TI-89 to explore the patterns and the command to compute the Taylor series.
Young scholars explore and derive functions. In this calculus lesson, students graphs a function and find the derivative of each function as they compare exponential graphs. They relate and compare each function to its derivative.
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Friendly Introduction to Mathematical Logic
9780130107053
ISBN:
0130107050
Pub Date: 1999 Publisher: Prentice Hall PTR
Summary: For a one-quarter/one-semester, junior/senior-level course in Mathematical Logic. With the idea that mathematical logic is absolutely central to mathematics, this tightly focused, elementary text discusses concepts that are used by mathematicians in every branch of the subjecta subject with increasing applications and intrinsic interest. It features an inviting writing style and a mathematical approach with precise s...tatements of theorems and correct proofs. Students are introduced to the main results of mathematical logicresults that are central to the understanding of mathematics as a whole.
Leary, Christopher C. is the author of Friendly Introduction to Mathematical Logic, published 1999 under ISBN 9780130107053 and 0130107050. Twenty eight Friendly Introduction to Mathematical Logic textbooks are available for sale on ValoreBooks.com, seventeen used from the cheapest price of $38.77, or buy new starting at $210.63
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Elementary Algebra -Text Only - 6th edition
ISBN13:978-0077224790 ISBN10: 0077224795 This edition has also been released as: ISBN13: 978-0073533506 ISBN10: 0073533505
Summary: Elementary Algebra, 6/e is part of the latest offerings in the successful Dugopolski series in mathematics. Given the importance of examples within a math book, the author has paid close attention to the most important details for solving the given topic. Dugopolski includes a double cross-referencing system between the examples and exercise sets, so no matter which one the students start with, they will see the connection to the other.
Mark Dugopolski was born and raised in Menominee, Michigan. He received a degree in mathematics education from Michigan State University and then taught high school mathematics in the Chicago area. While teaching high school, he received a master's degree in mathematics from Northern Illinois University. He then entered a doctoral program in mathematics at the University of Illinois in Champaign, where he earned his doctorate in topology in 1977. He was then appointed to the faculty at Southeastern Louisiana University, where he now holds the position of professor of mathematics. He has taught high school and college mathematics for over 30 years. He is a member of the MAA, the AMS, and the AMATYC. He has written many articles and mathematics textbooks. He has a wife and two daughters. When he is not working, he enjoys hiking, bicycling, jogging, tennis, fishing, and motorcycling.
May contain some highlighting. Supplemental materials may not be included. We select best copy available. - 6th Edition - Hardcover - ISBN 9780077224790
$70.94 +$3.99 s/h
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Used - Acceptable Hardcover. WATERDAMAGED BACK COVER 6th Edition Not perfect, but still usable for class. Ships same or next day. Expedited shipping takes 2-3 business days; standard shipping takes 4-...show more14 business days. ...show less
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$172
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Elements of the Theory of Numbers - 99 edition
Summary: Elements of the Theory of Numbers teaches students how to develop, implement, and test numerical methods for standard mathematical problems. The authors, Joseph and Thomas Dence, have developed a comprehensive, rigorous overview of number theory. This text makes greater use of the language and concepts in algebra and analysis than is traditionally encountered in introductory courses. Professors and students will welcome how the chapters are divided into two sets: Cha...show morepters 1-6 and part of Chapter 7 pertain to all readers. This set ends with a full chapter on number fields. Chapters 10-11 are considered special topics which allow flexibility for the professor. Also, the authors have created a two-pronged pedagogical approach which integrates analysis and algebra with classical number theory. This pedagogical approach will help to instill in the minds of the students the idea of the unity of mathematics. Both professors and students will agree that Elements of the Theory of Numbers is the best summary of classical material along with a look at the exciting role of analysis and algebra in number theory.
In-depth coverage of classical number theory
Thorough discussion of the theory of groups and rings
Includes application of Taylor polynomials
Contains more advanced material than other texts
Illustrates the results of a theorem with an example
Excellent presentation of the standard computational exercises
Nearly 1000 problems--many are proof-oriented, several others require the writing of computer programs to complete the computations
Clear and well-motivated presentation
Provides historical references noting distinguished number theory luminaries such as Euclid, de Fermat, Hilbert, Brun, and Lehmer, to name a few90
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skills to tackle more advanced topics, such as imaginary numbers, variables, and algebraic equations.
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Mathematics Curriculum Guide Revised 2007. Available at Roanoke County Public Schools does not discriminate with regard to race, color, national ...
AP CALCULUS SUMMER WORKSHEET DUE: First Day of School - Aug. 19, 2010 Complete this assignment at your leisure during the summer. It is designed to help you become ...
AP Calc Summer Assignments L AP Calculus AB Course Course Design and Philosophy It is my belief that students gain a deeper understanding of mathematics if they have ...
AP Calculus BC Syllabus Course Overview My objective in teaching AP Calculus BC is to enable students to appreciate the usefulness and beauty of calculus while ...
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More About
This Textbook
Overview
This text presents differential forms from a geometric perspective accessible at the undergraduate level. It begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. The subject is approached with the idea that complex concepts can be built up by analogy from simpler cases, which, being inherently geometric, often can be best understood visually.
Each new concept is presented with a natural picture that students can easily grasp. Algebraic properties then follow. The book contains excellent motivation, numerous illustrations and solutions to selected
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Find Reviews by Subject
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Video Text Math Reviews
This program uses new, interactive, video-based strategies to teach Algebra and Geometry from start to finish. The main components are the "videotext" (the video lessons), and a workbook. The video serves as the textbook. Each module is around $100 and there are multiple modules for each course in Algebra and Geometry. Entire courses can also be purchased.
Mathematical concepts are presented via video in a logical, sequential progression aimed at developing student mastery. In a sea of spiraling concept presentation, this program is solid and challenging. We opted for the fully-online option, which saved on the cost of the books, but requires printing out of the student materials. Students print out notes, watch a video, complete exercises, and a quiz. Students complete as much work as is needed for mastery and the teacher manual (also online) contains the solutions.
Unfortunately, my student became very distracted by the dated video, dry delivery, and the rigid albeit accurate terminology. He also needed to review outside sources for additional explanation, and became frustrated with it. For students who dislike/have no interest in math and have think/create/produce dispositions, this may not be a great fit. For others this is a fantastic curriculum with SOLID methodology.
Where other Algebra programs have failed us, Video Text Interactive has excelled. We watch the video lesson together then students work the practice sets(odds or evens). Notes are already printed up and are very helpful while working the practice sets. After 2-3 problems, we check the answer book to make sure we are on the right track. The student finishes the practice sets. The next day before the next video lesson, the students take a quiz to make sure they remember the concept from the prior lesson. There is a seperate answer book for the quizes and end of unit test. Each lesson is presented to aid the student (and parent) in fully understanding the concept, the whys, as well as the parts of mathematical speech. The program may seem a bit expensive, but when compared to other math programs (especially the ones you bought only to find out they were not a good match), this program is a good value. We chose not to write in the workbooks, so the program can be used by multiple students for many years. Very please so far, we have just started Module B.
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Many questions along the lines about the benefit of mathematics in our daily lives and why it is heavily taught in both the general education and university have been inquired. Perhaps the right question is what is the area in which mathematics has no benefit?
Mathematics is the basis of science in both its theoretical and applied divisions. It offers effective methods in statistics, data and decision-making, the issues of profits and losses as well as in the narrow fields of computer programming. It also plays a great deal in encryption, modeling of the problems facing the community and finding solutions to them, and many of the engineering and medical applications.
Finally, on my behalf and on behalf of all my fellow members of the faculty acknowledge the great efforts of His Excellency Mr. Dean and His Excellency the Vice-Dean as well as welcome all of our students and look forward to working together to rediscover the effectiveness of mathematics and its central role in our lives.
3- Department's Message
.Development of society through providing graduates, who able to compete in education, scientific research and optimum use of technology
.There is a greet Consistency between Zulfi, College of science Mission and Majmaah, University Mission
Second Learning Goal: Mathematics majors will learn and retain basic knowledge in the core branches of mathematics
:Objectives, Students will
a.demonstrate proficiency in calculus
b.demonstrate proficiency in linear algebra; and
c.Demonstrate proficiency in algebra
Third Learning Goal: Mathematics majors will be able to learn and explain mathematics on their own
:Objectives, Students will
a.read a mathematics journal article and explain it, orally or in writing, to an audience of math majors and
b.After graduation, be able to master new mathematics necessary for their employment
:Fourth Learning Goal: Mathematics majors will be able to read and construct rigorous proofs
:Objectives, Students will
a.construct clearly written proofs which use correct terminology and cite previous theorems
;b.construct proofs using mathematical induction
c.construct proofs by contradiction; and
.d.judge whether a proof is sound, and identify errors in a faulty proof
Fivth Learning Goal: Mathematics majors will be able to obtain employment in their area of mathematical interest or gain admittance to a graduate program in mathematics
:Objectives, Students who
;a.seek admission to graduate schools in mathematics will succeed in gaining admission, and perform adequately in these programs
;b.seek entry-level employment in math-related fields will obtain it
;c.specialize in actuarial science will obtain entry-level work as actuaries, if they seek it
d.specialize in secondary education will demonstrate proficiency in mathematics needed to obtain Initial Certification in KSA; or
.e.Seek jobs in secondary or elementary education will obtain jobs at the appropriate grade level
6 - Study approach in the department:
BA: Student in the Faculty of Science spends four years spread over eight semesters. The study courses include the core courses (the requirements of the University - Faculty of requirements -the requirements of the department and specialization). The student must finish 136 units of study.
7 - Entry requirements for the department:
• -General assimilation of the Department • Cumulative average for the student • The wishes of the student
8 - Serving the environment and Society: • Teaching Mathematics and Statistics in the different colleges. • Participating in research projects for the environment and society. • Participating in various committees within and outside the college. • Participating in cultural and scientific activities at the college and university.
9 - Career Opportunities for Graduates:
• working in the education in both sectors, public and private. • Working as research assistant in the department or in any other Math departments at the Kingdom Universities. • working in research centers. • working in the military sector. • Working in IT as data analysts and shareholders in the preparation of strategic plans.
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Introduction to Linear Algebra (Cloth) - 4th edition
Summary: Gilbert Strang's textbooks have changed the entire approach to learning linear algebra -- away from abstract vector spaces to specific examples of the four fundamental subspaces: the column space and nullspace of A and A'. Introduction to Linear Algebra, Fourth Edition includes challenge problems to complement the review problems that have been highly praised in previous editions. The basic course is followed by seven applications: differential equations, engin...show moreeering, graph theory, statistics, fourier methods and the FFT, linear programming, and computer graphics. Thousands of teachers in colleges and universities and now high schools are using this book, which truly explains this crucial subject. ...show less
Hardcover Good 09802327160980232716 Brand New. Exact book as advertised. Delivery in 4-14 business days (not calendar days). We are not able to expedite delivery.
$136.20
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Multivariable Calculus - 4th edition
Summary: CALCULUS 4/e brings together the best of both new and traditional curricula to meet the needs of even more instructors teaching calculus. The author team's extensive experience teaching from both traditional and innovative books and their expertise in developing innovative problems put them in an unique position to make this new curriculum meaningful to students going into mathematics and those going into the sciences and engineering. This edition will work well for ...show morethose departments who are looking for a calculus book that offers a middle ground for their calculus instructors.
CALCULUS 4/e exhibits the same strengths from earlier editions including the Rule of Four, an emphasis on modeling, exposition that students can read and understand and a flexible approach to technology. The conceptual and modeling problems, praised for their creativity and variety, continue to motivate and challenge students. ...show less
Functions of Several Variables A Fundamental Tool: Vectors Differentiating Functions of Many Variables Optimization: Local and Global Extrema Integrating Functions of Many Variables Parameterized Curves and Vector Fields Line Integrals Flux Integrals Calculus of Vector Fields
PAPERBACK Fair 0471484806
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Synopses & Reviews
Please note that used books may not include additional media (study guides, CDs, DVDs, solutions manuals, etc.) as described in the publisher comments.
Publisher Comments:
The third edition of this ground-breaking text continues the authors' goal - a targeted introduction to precalculus that carefully balances concepts with procedures. Overall, this text is designed to provide a solid foundation to precalculus that focuses on a small number of key topics thereby emphasizing depth of understanding rather than breath of coverage. Developed by the Calculus Consortium, FMC 3e is flexible enough to be thought-provoking for well-prepared students while still remaining accessible to students with weaker backgrounds. As multiple representations encourage students to reflect on the material, each function is presented symbolically, numerically, graphically and verbally (the Rule of Four). Additionally, a large number of real-world applications, examples and problems enable students to create mathematical models that will help them understand and interpret the world in which they live.
Synopsis:
"Synopsis"
by Libri,
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More About
This Textbook
Overview
These world-renowned authors integrate linear algebra and ordinary differential equations in this unique book, interweaving instructions on how to use MATLAB with examples and theory. They use computers in two ways: in linear algebra, computers reduce the drudgery of calculations to help students focus on concepts and methods; in differential equations, computers display phase portraits graphically for students to focus on the qualitative information embodied in solutions, rather than just to learn to develop formulas for solutions.
Editorial Reviews
From the Publisher
"The topic areas of linear algebra and differential equations lend themselves naturally to be developed in tandem, and I do not know of a text that does a better job of integrating the two areas so that each reinforce the understanding of the other."
"[This text] provides a very interesting way of blending linear algebra and sophomore level differential equations course with the programming system MATLAB. . . . It . . . has the potential to be adopted by many institutions who are leaning towards the use of technology in the classroom. For one, I would use the book fore our linear algebra and differential equations course. . . ."
"The text is unique in offering a true amalgam of linear algebra, differential equations, and MATLAB. There is a definite need for such a text. The integration of the three 'legs' is well done and the ideas are introduced at a good pace
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AlAlgebra II Workbook For Dummies, 2nd Edition helps you learn Algebra II by doing Algebra II. Author and math professor Mary Jane Sterling walks you through the entire course, showing you how to approach and solve the problems you encounter in class. You'll begin by refreshing your Algebra I skills, because you'll need a strong foundation to build upon. From there, you'll work through practice problems to clarify concepts and improve understanding and retention.
Revisit quadratic equations, inequalities, radicals, and basic graphs
Master quadratic, exponential, and logarithmic functions
Tackle conic sections, as well as linear and nonlinear systems
Grasp the concepts of matrices, sequences, and imaginary numbers
Algebra II Workbook For Dummies, 2nd Edition includes sections on graphing and special sequences to familiarize you with the key concepts that will follow you to trigonometry and beyond. Don't waste any time getting started. Algebra II Workbook For Dummies, 2nd Edition is your complete guide to success.
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BEGINNING ALGEBRA
9780131444447
ISBN:
0131444441
Edition: 4 Pub Date: 2004 Publisher: Prentice Hall
Summary: Clearly explained concepts, study skills help, and real-life applications will help the reader to succeed in learning algebra.
Martin-Gay, K. Elayn is the author of BEGINNING ALGEBRA, published 2004 under ISBN 9780131444447 and 0131444441. One hundred seventy BEGINNING ALGEBRA textbooks are available for sale on ValoreBooks.com, fifty used from the cheapest price of $0.01, or buy new starting at $13
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Incorporating a modeling approach throughout, this exciting text emphasizes concepts and shows that the study of differential equations is a beautiful application of the ideas and techniques of calculus to everyday life. By taking advantage of readily available technology, the authors eliminate most of the specialized techniques for deriving formulas for solutions found in traditional texts and replace them with topics that focus on the formulation of differential equations and the interpretations of their solutions. Students will generally attack a given equation from three different points of view to obtain an understanding of the solutions: qualitative, numeric, and analytic. Since many of the most important differential equations are nonlinear, students learn that numerical and qualitative techniques are more effective than analytic techniques in this setting. Overall, students discover how to identify and work effectively with the mathematics in everyday life, and they learn how to express the fundamental principles that govern many phenomena in the language of differential equations.
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In this limits and continuity test, students solve 8 multiple choice questions. They define the words limits and continuity. Students determine the limits of 8 functions. Students find the value for a constant in one function, and prove one function is continuous at x=0. 4 questions require students to graph functions. There are 25 questions in all (plus one extra credit question).
Twelfth graders review limits and continuity. In this calculus lesson, 12th graders review the applications and use of limits and continuity for a test. This assignment contains links that are helpful for the review.
In this calculus worksheet, students complete a chart of values using limits and continuity. They use the test of continuity to solve most of the problems and match their answers to the correct answers. There are 18 matching questions with an answer key.
For this calculus worksheet, students work problems containing functions, limits and dealing with continuity. They evaluate functions and use the limits theorem to help find the correct answer. There are 26 questions.
Learners read a description of how to evaluate limits then solve problems both with and without their graphing calculators. In this evaluating limits lesson plan, students evaluate 9 limits problems without their graphing calculators. Answers are checked using the calculator.
Students investigate limits and continuity of functions. In this limits and continuity of functions lesson, students find the limit as a function approaches a given value. Students find the domain of functions.
Twelfth graders investigate limits. In this Calculus lesson, 12th graders use the Ti-89 calculator to explore limits. Students examine the tables and graphs to approach limits from a numerical point of view.
Sal examines more limit problems by looking at taking the limit of expressions that contain absolute value and other trigonometric limits. He continues to challenge the learner to develop an intuitive feel for solving limit problems.
Sal examines more limit problems by looking at taking the limit of expressions that contain absolute value and other trigonometric limits. He continues to challenge the learner to develop an intuitive feel for solving limit problems.
Students review concepts of logarithms for their test. In this calculus lesson, students review inverse function, limits, derivatives and solving logs equations. They review the chain rule and domain and range of inverse logs.
Twelfth graders examine limits. In this Calculus lesson students use the symbolic capacity of the TI-89 calculator to explore limits. Students examine the tables and graphs and use the information to support their answers.
Students explore the concept of piecewise functions. In this piecewise functions lesson, students discuss how to make a piecewise function continuous and differentiable. Students use their Ti-89 to find the limit of the function as it approaches a given x value. Students find the derivative of piecewise functions.
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Intermediate Algebra Through Applications
Throughout this text, motivating real-world applications, examples, and exercises demonstrate how integral mathematical understanding is to student ...Show synopsisThroughout this text, motivating real-world applications, examples, and exercises demonstrate how integral mathematical understanding is to student mastery in other disciplines, a variety of occupations, and everyday situations. A distinctive side-by-side format, pairing each example with a corresponding practice exercise, encourages students to get actively involved in the mathematical content from the start. Unique Mindstretchers target different levels and types of student understanding in one comprehensive problem set per section. Mindstretchers incorporate related investigation, critical thinking, reasoning, and pattern recognition exercises along with corresponding group work and historical connections. To show how mathematics has evolved over the centuries, in many cultures, and throughout the world, each chapter features a compelling Cultural Note that investigates and illustrates the origins of mathematical concepts. Diverse topics include art, music, the evolution of digit notation, and the ancient practice of using a scale to find an unknown weight 0321746716 Book may have writing or highlighting, used...Good. 0321746716 Book may have writing or highlighting, used book stickers, college book store stickers, in good dust jacket. Good shape and condition. US edition!...Good in good dust jacket. Good shape and condition. US edition! TEXTBOOK ONLY, not included NEW MyMathLab. We send best copy available. UniversityStore1908, one thousand happy customers. Textbooks are sold as is. Audience: General/trade.
Description:New. 0321832167 New Book. Please allow 4-14 business days to...New. 0321832167
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Math is a special and important learning in education. Even though Math is hard to some people, it is not hard to learn if you follow a good guide. This book is a good guide that will help high/middle school students learn basic and advanced skills with important concepts and skills carefully designed into questions and solution for students to master. This book will escort you to your success.
The author of this book is Barry Garelick. The publisher is William R. Parks -
"Beautifully observed, these letters are a priceless multilayered collection–on one level, a passionate debate on math education–on another, a poignant and human look at the struggle to teach–and learn. Bursting with humor and heart, this book is a treasure and a pleasure to read." Dennis Foon, Author
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The traditional model of mathematics teaching for science students
goes a bit like
this: first we teach them a set of mathematical concepts and skills,
and then the students
"apply" those concepts and skills to their subjects. This works fine some of the
time and for some
students, but it has a well-known drawback, namely, that for many
students the mathematics
stays forever separate from the science and never gets
"applied" at all.
Moreover, the way science uses mathematics is changing. At one time
the mathematics that
scientists used was generally explicit but often, outside certain
disciplines, routine.
Scientists in many fields now use techniques of analysis that reflect
increasingly
sophisticated mathematical models, but these models are often implicit
in the technology
of the lab. The scientist of the 21st century needs to have
access to, and
understanding of, the mathematical models that underlie her work: she
needs that just as
much as, if not more than, mastery of traditional pen-and-paper
algorithms.
Here at Imperial, the departments of mathematics and chemistry are
working on a joint
teaching project based on Mathematica. The governing philosophy
of the project is
that students should, from early on in their first year, encounter
math as an integral
part of chemistry and that they should be encouraged to examine,
amend, devise, and
reflect upon mathematical and statistical models of chemical systems.
Without computer
power, such a project would have foundered because without computer
power the students
would have access only to trivial, tractable models that don't
adequately
describe the science. With the wrong kind of computer power, it would
have foundered for
another reason: if, for example, we had merely written a collection of
"simulations," then the mathematics would have remained
hidden behind an opaque
user interface.
What Mathematica gives us is power plus explicitness: the
ability to set up
relatively sophisticated models in a way that allows students to
ungroup and amend them
and then to set up their own. The typesetting features of the new
front end have helped us
to get students into the mathematics quickly and smoothly without
needing first to master
an arcane syntax.
I will demonstrate some examples of the materials we are devising at
Imperial, together with
some preliminary findings from a systematic evaluation of them in use
that is being carried out by the
Institute of Education in London.
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Calculus: Early Transcendentals
James Stewart's "Calculus: Early Transcendentals, 7e, International Metric" is widely renowned for their mathematical precision and accuracy, clarity ...Show synopsisJames Stewart's "Calculus: Early Transcendentals, 7e, International Metric" is "Calculus: Early Transcendentals, International Metric Edition", Stewart continues to set the standard for the course while adding carefully revised content. The patient explanations, superb exercises, focus on problem solving, and carefully graded problem sets that have made Stewart's texts best-sellers continue to provide a strong foundation for the Seventh Edition. From the most unprepared student to the most mathematically gifted, Stewart's writing and presentation serve to enhance understanding and build confidence Calculus: Early Transcendentals
This is the book I learned Calculus from in college. I recently lost my copy from school, so decided to replace it. I've never used a different book, so I can't say it's the best, but it gets the job done. Never heard any complaints about it from fellow students either
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Algebra through Practice
9780521253017
ISBN:
0521253012
Pub Date: 1985 Publisher: Cambridge University Press
Summary: Problem-solving is an art central to understanding and ability in mathematics.
Blyth, T. S. is the author of Algebra through Practice, published 1985 under ISBN 9780521253017 and 0521253012. Three Algebra through Practice textbooks are available for sale on ValoreBooks.com, and three used from the cheapest price of $20
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Algebra 2 - 05 edition
Summary: From the first day your students begin to learn the vocabulary of algebra until the day they take final exams and standardized tests, these programs strengthen student understanding and provide the tools students need to succeed5.95 +$3.99 s/h
Good
invisibledog Salt Lake City, UT
0078656095 Unmarked text.
$6.49 +$3.99 s/h
Acceptable
AlphaBookWorks Alpharetta, GA
007865609500 +$3.99 s/h
Good
Avitar Books Enon, OH
Hardcover Very Good 0078656095$9.95 +$3.99 s/h
GOOD/SOLID condition with the interior pages and binding...show more blocks fully intact and only MODERATE wear to the exterior covers! We ship daily, Mon-Sat. ...show less
2004-01-01 Hardcover Fair CLEAN, INTACT and USABLE! May have heavy wear/tear to cover, mild waving/staining, or other defect that downgrades book to "Acceptable, " but nothing that would interfere ...show morewith usability. All copies have been inspected, cleaned and repaired. ...show less
$11.95 +$3.99 s/h
Very VERY GOOD condition with the interior pages and binding ...show moreblocks fully intact and only MINOR
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A unique approach to analysis that lets you apply mathematics across a range of subjects This innovative text sets forth a thoroughly rigorous modern account of the theoretical underpinnings of calculus: continuity, differentiability, and convergence. Using a constructive approach, every proof of every result is direct and ultimately computationally... more...
As technology continues to move ahead, modern engineers and scientists are frequently faced with difficult mathematical problems that require an ever greater understanding of advanced concepts. Designed as a self-study text for practicing engineers and scientists, as well as a useful reference, the book takes the reader from ordinary differential equations... more...
Calculus is the basis of all advanced science and math. But it can be very intimidating, especially if you're learning it for the first time! If finding derivatives or understanding integrals has you stumped, this book can guide you through it. This indispensable resource offers hundreds of practice exercises and covers all the key concepts of calculus,... more...
An accessible introduction to real analysis and its connection to elementary calculus Bridging the gap between the development and history of real analysis, Introduction to Real Analysis: An Educational Approach presents a comprehensive introduction to real analysis while also offering a survey of the field. With its balance of historical background,... more...
While Volume I (by W.A.J. Luxemburg and A.C. Zaanen, NHML Volume 1, 1971) is devoted to the algebraic aspects of the theory, this volume emphasizes the analytical theory of Riesz spaces and operators between these spaces. Though the numbering of chapters continues on from the first volume, this does not imply that everything covered in Volume I is... more...
The text is designed for use in a forty-lecture introductory course covering linear algebra, multivariable differential calculus, and an introduction to real analysis.
The core material of the book is arranged to allow for the main introductory material on linear algebra, including basic vector space theory in Euclidean space and the initial theory... more...
Mathematical theory in basic courses usually involves deterministic phenomena; however, in practice, the input to a linear system may contain a "random" quantity that yields uncertainty about the output. Probability theory and random process theory have become indispensable tools when analyzing these systems. This SPIE Field Guide discusses basic probability
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Quoted from the site: "IDEA is an interdisciplinary effort to provide students and teachers around the world with...
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Quoted from the site: "IDEA is an interdisciplinary effort to provide students and teachers around the world with computer based activities for differential equations in a wide variety of disciplines." Currently, IDEA contains nearly twenty activities. These are applications of differential equations to areas as diverse as bungee jumping and salmon migration. Some of these applications are presented as text with illustrations, but others include interactive graphics.
Partial differential equations (PDEs) describe the relationships among the derivatives of an unknown function with respect to...
see more
Partial differential equations (PDEs) describe the relationships among the derivatives of an unknown function with respect to different independent variables, such as time and position. A very large fraction of solvable PDEs are either linear first- or second-order PDEs, or are related to such PDEs by transformation or perturbation theory. Fortunately, these PDEs also make up the language for much of the mathematical description of nature. Most of this class will concentrate on those equations that have proven to be of great importance to real-world applications. This free course may be completed online at any time. See course site for detailed overview and learning outcomes. (Mathematics 222)
This is a free, online textbook offered by Bookboon.com. "This book presents finite difference methods for solving partial...
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This is a free, online textbook offered by Bookboon.com. "This book presents finite difference methods for solving partial differential equations (PDEs) and also general concepts like stability, boundary conditions etc. Material is in order of increasing complexity (from elliptic PDEs to hyperbolic systems) with related theory included in appendices. Each chapter has written and computer exercises with web links to worked solutions, programs, A/V presentations and case studies. Emphasis is on the practical and students are encouraged to do numerical experiments. This book is intended for undergraduates who know Calculus and introductory programming.״
This lesson received an honorable mention in the 2014 SoftChalk Lesson Challenge.'We have seen quadratic functions which...
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This lesson received an honorable mention in the 2014 SoftChalk Lesson Challenge.'We have seen quadratic functions which are either concave up or concave down, but we may need more flexibility than that. In this section we are going to discuss higher orderpolynomial functions and models. Linear functions are actually a first order polynomial and quadratics are a second order polynomial.'
״This book provides an in-depth and clear treatment of all the important practical, technical, computational, geometric, and...
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״This book provides an in-depth and clear treatment of all the important practical, technical, computational, geometric, and mathematical aspects of the Linear Complementarity Problem, Quadratic Programming, and their various applications. It discusses clearly the various algorithms for solving the LCP, presents their efficient implementation for the computer, and discusses their computational complexity. It presents the practical applications of these algorithms and extensions of these algorithms to solve general nonlinear programming problems. Finally, it surveys new methods for solving linear programs, such as Khachiyan's and Karmarkar's.״״You can download each chapter in postscript format by clicking the link following each chapter in the table of contents. You can also download the compressed version of the entire book.״
An author's Snapshot for Mathematical Visualization Toolkit material found in MERLOT at...
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An author's Snapshot for Mathematical Visualization Toolkit material found in MERLOT at This material is a MERLOT classic award winner and an Editors choice winner. This snapshot shows an overview of the material. This was created in the MERLOT Content Builder
| 677.169 | 1 |
Designed for the first-year developmental math course in beginning algebra, this text retains the hallmark features that have given the Aufmann texts a solid reputation for reliability: a clear writing style, an emphasis on problem-solving strategies, and the acclaimed Aufmann Interactive Method. The text's objective-based framework offers guided learning for both lecture and self-paced courses. The IAE, rich with instructor support materials, features reduced student pages with support material in the margins. (Answers to exercises and transparency icons appear on the reduced student page.) Features include Instructor Notes; tips for introducing new or recycled vocabulary, symbols, formulas, rules, properties or equations;Discuss the Conceptsprompts;Concept Checkquestions;Optional Student Activities; In-Class Examplesto present with every objective;Suggested Assignments; Quick Quiz;and Answers to selectedWriting Exercises, Focus on Problem Solvingactivities, andProjects and Group Activities. AIM for Success,a special preface for students, guides them in how to be successful using the text and the Aufmann Interactive Method (AIM). Suggestions for using the Preface as a lesson are featured in the Instructor's Resource Manual. Eduspace, powered by Blackboard, for the Aufmann/Barker/LockwoodBeginning Algebracourse includes algorithmic exercises, an online Study Guide and test bank content in question pools.
| 677.169 | 1 |
Foundation Mathematics for Edexcel is the perfect preparation for the two-tier GCSE from Edexcel. This course has been written especially for Edexcel students and their teachers, and comprises student textbooks, teacher's resources, and homework books as well as digital resources.. - Builds revision skills you need for... - Builds revision skills you need for...This interdisciplinary study applies human rights theory to the problems of rural poverty in the Third World. Considering the interdependence of minimal food and health security with minimal assurance of basic freedoms, political scientist Alan G. Smith traces the linkage to the need of the food-insecure to seek clientelistic dependencies on better-off... more...
| 677.169 | 1 |
Mathematics Resources
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| 677.169 | 1 |
Third Edition of Algebra: Introductory and Intermediate provides mathematically sound and comprehensive coverage of the topics considered essential in a combined introductory and intermediate algebra course. The text also includes new prep tests, updated applications, and a new design. Furthermore, the Instructor's Annotated Edition features a comprehensive selection of new instructor support material. The class-tested Aufmann Interactive Method, incorporated throughout the text, ensures that students interact with the math and master the concepts presented. This model is especially supportive for distance-learning and self-paced laboratory situations.The IAE, rich with new instructor support materials, features reduced student pages with support material in the margins. (Answers to exercises and transparency icons appear on the reduced student page.) Features include Instructor Notes; tips for introducing new or recycled vocabulary, symbols, formulas, rules, properties or equations; Discuss the Concepts prompts; Concept Check questions; Optional Student Activities; In-Class Examples to present with every objective; Suggested Assignments; Quick Quiz; and Answers to selected Writing Exercises, Focus on Problem Solving activities, and Projects and Group Activities.AIM for Success, a special preface for students, guides them in how to be successful using the text and the Aufmann Interactive Method (AIM). Suggestions for using the Preface as a lesson are featured in the Instructor's Resource Manual. Eduspace, powered by Blackboard, for the Aufmann/Barker/Lockwood Algebra: Introductory and Intermediate course includes algorithmic exercises, an online Study Guide and test bank content in question pools.
| 677.169 | 1 |
More About
This Textbook
Overview
This text offers the ideal approach for economics and business students seeking to understand the mathematics relevant to them. Each chapter demonstrates basic mathematical techniques, while also explaining the economic analysis and business context where each is used. By following the worked examples and tackling the practice problems, students will discover how to use and apply each of these techniques. Now in its second edition, the text features expanded summaries of economic analysis, new sections on matrix algebra and linear programming, and additional demonstrations of economics applications.
Demonstrates mathematical techniques while explaining their economic and business applications
Engages the reader with numerous worked examples and practice problems
Features new sections on matrix algebra and linear programming
Includes a CD-ROM with the book, containing the award winning MathEcon software, Excel files, Powerpoint slides, all definitions and 'remember boxes', and additional
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