Higher Education

College Algebra, 7th Edition

  • James Stewart McMaster University
  • Lothar Redlin Pennsylvania State University, Abington Campus
  • Saleem Watson California State University, Long Beach
  • ISBN-10: 1305115546  |  ISBN-13: 9781305115545
  • 832 Pages
  • Previous Editions: 2013, 2009, 2004
  • © 2016 | Published
  • College Bookstore Wholesale Price = $244.75
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About

Overview

Do your students attempt to memorize facts and mimic examples to make it through algebra? James Stewart, author of the worldwide, best-selling calculus texts, saw this scenario time and again in his classes. So, along with longtime coauthors Lothar Redlin and Saleem Watson, he wrote COLLEGE ALGEBRA specifically to help students learn to think mathematically and to develop genuine problem-solving skills. Comprehensive and evenly-paced, the text has helped hundreds of thousands of students. Incorporating technology, real-world applications, and additional useful pedagogy, the Seventh Edition promises to help more students than ever build conceptual understanding and a core of fundamental skills.

Features and Benefits

  • The new Get Ready feature at the beginning of a section lets students know which previous sections they need to have mastered before starting the section.
  • Concept exercises, in addition to drill/skill exercises, vary from easy to difficult and help ensure that students are truly grasping the algebraic theories.
  • Practice What You've Learned features at the end of each example directs students to a similar problem in the exercises, allowing them to immediately reinforce the concept just covered.
  • Cumulative Reviews appear after select groups of chapters and help students gauge their progress and gain experience in taking tests that cover a broad range of concepts and skills.
  • Enhanced WebAssign allows you to assign, collect, grade, and record homework assignments online, minimizing workload and streamlining the grading process. It also gives students the ability to stay organized with assignments and have up-to-date grade information.
  • Many real-world applications show students how mathematics is used to model in fields such as engineering, physics, chemistry, business, and biology and help them relate the concepts they're studying to the world around them.
  • Focus on Modeling sections show how algebra can be applied to model real-life situations.
  • Optional, yet complete, technology applications for graphing calculators and computers appear throughout the text, giving you the flexibility to teach the course the way you want.

Table of Contents

Preface.
To the Student.
Prologue: Principles of Problem Solving.
P. PREREQUISITES.
P.1 Modeling the Real-World with Algebra. P.2 The Real Numbers. P.3 Integer Exponents and Scientific Notation. P.4 Rational Exponents and Radicals. P.5 Algebraic Expressions. P.6 Factoring. P.7 Rational Expressions. P.8 Solving Basic Equations. P.9 Modeling with Equations. Chapter P Review. Chapter P Test.
FOCUS ON MODELING: Making the Best Decisions.
1. EQUATIONS AND GRAPHS.
1.1 The Coordinate Plane. 1.2 Graphs of Equations in Two Variables; Circles. 1.3 Lines.
1.4 Solving Quadratic Equations. 1.5 Complex Numbers. 1.6 Solving Other Types of Equations. 1.7 Solving Inequalities. 1.8 Solving Absolute Value Equations and Inequalities. 1.9 Solving Equations and Inequalities Graphically. 1.10 Modeling Variations. Chapter 1 Review. Chapter 1 Test.
FOCUS ON MODELING: Fitting Lines to Data.
2. FUNCTIONS.
Chapter Overview.
2.1 Functions. 2.2 Graphs of Functions. 2.3 Getting Information from the Graph of a Function. 2.4 Average Rate of Change of a Function. 2.5 Linear Functions and Models.
2.6 Transformations of Functions. 2.7 Combining Functions. 2.8 One-to-One Functions and Their Inverses. Chapter 2 Review. Chapter 2 Test.
FOCUS ON MODELING: Modeling with Functions.
3. POLYNOMIAL AND RATIONAL FUNCTIONS.
Chapter Overview.
3.1 Quadratic Functions and Models. 3.2 Polynomial Functions and Their Graphs. 3.3 Dividing Polynomials. 3.4 Real Zeros of Polynomials. 3.5 Complex Zeros and the Fundamental Theorem of Algebra. 3.6 Rational Functions. 3.7 Polynomial and Rational Inequalities. Chapter 3 Review. Chapter 3 Test.
FOCUS ON MODELING: Fitting Polynomial Curves to Data.
4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Chapter Overview.
4.1 Exponential Functions. 4.2 The Natural Exponential Function. 4.3 Logarithmic Functions. 4.4 Laws of Logarithms. 4.5 Exponential and Logarithmic Equations. 4.6 Modeling with Exponential Functions. 4.7 Logarithmic Scales. Chapter 4 Review. Chapter 4 Test.
FOCUS ON MODELING: Fitting Exponential and Power Curves to Data.
5. SYSTEMS OF EQUATIONS AND INEQUALITIES.
5.1 Systems of Linear Equations in Two Variables. 5.2 Systems of Linear Equations in Several Variables. 5.3 Partial Fractions. 5.4 Systems of Nonlinear Equations. 5.5 Systems of Inequalities. Chapter 5 Review. Chapter 5 Test.
FOCUS ON MODELING: Linear Programming.
6. MATRICES AND DETERMINANTS.
6.1 Matrices and Systems of Linear Equations. 6.2 The Algebra of Matrices. 6.3 Inverses of Matrices and Matrix Equations. 6.4 Determinants and Cramer's Rule. Chapter 6 Review. Chapter 6 Test.
FOCUS ON MODELING: Computer Graphics.
7. CONIC SECTIONS.
7.1 Parabolas. 7.2 Ellipses. 7.3 Hyperbolas. 7.4 Shifted Conics. Chapter 7 Review.
Chapter 7 Test.
FOCUS ON MODELING: Conics in Architecture.
8. SEQUENCES AND SERIES.
8.1 Sequences and Summation Notation. 8.2 Arithmetic Sequences. 8.3 Geometric Sequences. 8.4 Mathematics of Finance. 8.5 Mathematical Induction. 8.6 The Binomial Theorem. Chapter 8 Review. Chapter 8 Test.
FOCUS ON MODELING: Modeling with Recursive Sequences.
9. COUNTING AND PROBABILITY.
9.1 Counting. 9.2 Probability. 9.3 Binomial Probability. 9.4 Expected Value. Chapter 9 Review. Chapter 9 Test.
FOCUS ON MODELING: The Monte Carlo Method.
APPENDIX A: Calculations and Significant Figures.
APPENDIX B: Graphing with a Graphing Calculator.
APPENDIX C: Using the TI-83/84 Graphing Calculator.

What's New

  • Exercises - New Skills Plus exercises in most sections contain more challenging exercises that require students to extend and synthesize concepts. Additionally, more than 20% of the exercises are new, and groups of exercises now have headings that identify the type of exercise.
  • Review Material - The review material at the end of each chapter now includes a Concept Check which provides a step-by-step review of all the main concepts and applications of the chapter. Answers to the Concept Check questions are in tear-out sheets at the back of the book.
  • Discovery Projects - References to Discovery Projects, including brief descriptions of the content of each project, are located in boxes where appropriate in each chapter. These boxes highlight the applications of college algebra in many different real-world contexts. The projects are located at the book companion website www.stewartmath.com.
  • Chapter P Prerequisites - This chapter now includes Section P.9 "Modeling with Equations." This section extends the theme of the introductory section P.1 "Modeling the Real World with Algebra" on the usefulness of algebra in solving real-world problems.
  • Chapter 1 Coordinates and Graphs - This chapter has been reorganized. The chapter now begins with the coordinate plane and graphs of equations (including circles and lines), followed by sections on solving equations algebraically, and then a section on solving equations graphically. This last section shows the connections between graphs and the solutions of equations.
  • Chapter 2 Functions - This chapter now includes the new Section 2.5, "Linear Functions and Models." This section highlights the connection between the slope of a line and the rate of change of a linear function. These two interpretations of slope help prepare students for the concept of the derivative in calculus.
  • Chapter 3 Polynomial and Rational Functions - This chapter now includes the new Section 3.7, "Solving Polynomial and Rational Inequalities Graphically." Section 3.6, "Rational Functions," has a new subsection on rational functions with "holes." The sections on complex numbers and on variation have been moved to Chapter 1.
  • Chapter 4 Exponential and Logarithmic Functions - The chapter now includes two sections on the applications of these functions. Section 4.7, "Modeling with Exponential Functions," focuses on modeling growth and decay, Newton's Law of Cooling, and other such applications. Section 4.8, "Logarithmic Scales," covers the concept of a logarithmic scale with applications involving the pH, Richter, and decibel scales.
  • Chapter 5 Systems of Equations and Inequalities - The material on systems of inequalities has been rewritten to emphasize the steps used in graphing the solution of a system of inequalities.

Alternate Formats

Choose the format that best fits your student's budget and course goals

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  • Loose Leaf

    ISBN-10: 1305586034 | ISBN-13: 9781305586031

    List Price = $226.95  | CengageBrain Price = $226.95  | College Bookstore Wholesale Price = $170.50

Supplements

All supplements have been updated in coordination with the main title. Select the main title's "About" tab, then select "What's New" for updates specific to title's edition.

For more information about these supplements, or to obtain them, contact your Learning Consultant.

Instructor Supplements

Electronic Test Bank  (ISBN-10: 1305257189 | ISBN-13: 9781305257184)

This supplement includes test forms for every chapter of the text, and can be found on the instructor companion site.

Cengage Learning Testing, powered by Cognero Instant Access  (ISBN-10: 1305255860 | ISBN-13: 9781305255869)

Cengage Learning Testing Powered by Cognero is a flexible, online system that allows you to author, edit, and manage test bank content; create multiple test versions in an instant; and deliver tests from your LMS, your classroom or wherever you want. This is available online via www.cengage.com/login.

DVD  (ISBN-10: 1305257138 | ISBN-13: 9781305257139)

These text-specific DVDs cover all sections of the text—providing explanations of key concepts as well as examples, exercises, and applications in a lecture-based format.

List Price = $90.95  | CengageBrain Price = $90.95  | College Bookstore Wholesale Price = $68.75

Study Guide  (ISBN-10: 1305254805 | ISBN-13: 9781305254800)

This supplement provides students with additional exercises to guide them through the text and reinforce their understanding of key concepts.

List Price = $98.95  | CengageBrain Price = $98.95  | College Bookstore Wholesale Price = $74.25

Student Solutions Manual  (ISBN-10: 1305255895 | ISBN-13: 9781305255890)

Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.

List Price = $96.95  | CengageBrain Price = $96.95  | College Bookstore Wholesale Price = $72.75

Enhanced WebAssign Instant Access for Pre-Calculus & College Algebra, Single-Term Courses  (ISBN-10: 128585831X | ISBN-13: 9781285858319)

IMPORTANT: When purchasing this instant access code for Pre-Calculus & College Algebra, ensure that you are using it in one of the following courses: College Algebra, Trigonometry, Algebra and Trigonometry or Precalculus. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If your students need to retake the course and you are using the same book AND edition then they will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your Cengage Learning Consultant.

List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00

Enhanced WebAssign® International Instant Access Code Homework with e-Book  (ISBN-10: 133729697X | ISBN-13: 9781337296977)

Exclusively from Cengage Learning, Enhanced WebAssign® combines the exceptional mathematics content in this text with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive eBook, helping students to develop a deeper conceptual understanding of their subject matter. Online assignments can be built by selecting from thousands of text-specific problems, supplemented if you wish with problems from any Cengage Learning textbook.

List Price = $125.00  | College Bookstore Wholesale Price = $125.00

Enhanced WebAssign® International Instant Access Code Homework Only  (ISBN-10: 133729926X | ISBN-13: 9781337299268)

Exclusively from Cengage Learning, Enhanced WebAssign® combines the exceptional mathematics content in this text with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback and rich tutorial content, helping students to develop a deeper conceptual understanding of their subject matter. Online assignments can be built by selecting from thousands of text-specific problems, supplemented if you wish with problems from any Cengage Learning textbook.

List Price = $125.00  | College Bookstore Wholesale Price = $125.00

Enhanced WebAssign® International Printed Access Card Homework with e-Book  (ISBN-10: 1337296961 | ISBN-13: 9781337296960)

Exclusively from Cengage Learning, Enhanced WebAssign® combines the exceptional mathematics content in this text with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive eBook, helping students to develop a deeper conceptual understanding of their subject matter. Online assignments can be built by selecting from thousands of text-specific problems, supplemented if you wish with problems from any Cengage Learning textbook.

List Price = $125.00  | College Bookstore Wholesale Price = $93.75

Enhanced WebAssign® International Printed Access Card Homework Only  (ISBN-10: 1337299251 | ISBN-13: 9781337299251)

Exclusively from Cengage Learning, Enhanced WebAssign® combines the exceptional mathematics content in this text with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback and rich tutorial content, helping students to develop a deeper conceptual understanding of their subject matter. Online assignments can be built by selecting from thousands of text-specific problems, supplemented if you wish with problems from any Cengage Learning textbook.

List Price = $125.00  | College Bookstore Wholesale Price = $93.75

MindTap® Math, 1 term (6 months) Instant Access, Enhanced  (ISBN-10: 1305962567 | ISBN-13: 9781305962569)

MindTap® Math for Stewart/Redlin/Watson’s COLLEGE ALGEBRA, Enhanced Edition, 7th Edition is an online learning solution built with input from today’s students and instructors that enhances the learning experience. By leveraging modern technology MindTap elevates the superior content from COLLEGE ALGEBRA to address the unmet needs of students and educators. Efficient and informative, MindTap provides instructors with a powerful answer evaluation system and the ability to personalize their course with: a question bank, ready-to-use videos and algorithmic assessments, a student diagnostic and improvement plan, and just-in-time homework help that keeps students focused and engaged in learning the math.

List Price = $94.00  | College Bookstore Wholesale Price = $94.00

Student Supplements

DVD  (ISBN-10: 1305257138 | ISBN-13: 9781305257139)

These text-specific DVDs cover all sections of the text—providing explanations of key concepts as well as examples, exercises, and applications in a lecture-based format.

List Price = $90.95  | CengageBrain Price = $90.95  | College Bookstore Wholesale Price = $68.75

Study Guide  (ISBN-10: 1305254805 | ISBN-13: 9781305254800)

This supplement provides students with additional exercises to guide them through the text and reinforce their understanding of key concepts.

List Price = $98.95  | CengageBrain Price = $98.95  | College Bookstore Wholesale Price = $74.25

Student Solutions Manual  (ISBN-10: 1305255895 | ISBN-13: 9781305255890)

Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving you a way to check your answers and ensure that you took the correct steps to arrive at an answer.

List Price = $96.95  | CengageBrain Price = $96.95  | College Bookstore Wholesale Price = $72.75

Enhanced WebAssign Instant Access for Pre-Calculus & College Algebra, Single-Term Courses  (ISBN-10: 128585831X | ISBN-13: 9781285858319)

IMPORTANT: When purchasing this instant access code for Pre-Calculus & College Algebra, ensure that you are using it in one of the following courses: College Algebra, Trigonometry, Algebra and Trigonometry or Precalculus. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If you need to retake the course and your instructor is using the same book AND edition then you will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your instructor.

List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00

Enhanced WebAssign® International Instant Access Code Homework with e-Book  (ISBN-10: 133729697X | ISBN-13: 9781337296977)

Enhanced WebAssign® engages you with immediate feedback, rich tutorial content, and an interactive eBook, helping you to develop a deeper conceptual understanding of your subject matter.

List Price = $125.00  | College Bookstore Wholesale Price = $125.00

Enhanced WebAssign® International Instant Access Code Homework Only  (ISBN-10: 133729926X | ISBN-13: 9781337299268)

Enhanced WebAssign® engages you with immediate feedback and rich tutorial content, helping you to develop a deeper conceptual understanding of your subject matter.

List Price = $125.00  | College Bookstore Wholesale Price = $125.00

Enhanced WebAssign® International Printed Access Card Homework with e-Book  (ISBN-10: 1337296961 | ISBN-13: 9781337296960)

Enhanced WebAssign® engages you with immediate feedback, rich tutorial content, and an interactive eBook, helping you to develop a deeper conceptual understanding of your subject matter.

List Price = $125.00  | College Bookstore Wholesale Price = $93.75

Enhanced WebAssign® International Printed Access Card Homework Only  (ISBN-10: 1337299251 | ISBN-13: 9781337299251)

Enhanced WebAssign® engages you with immediate feedback and rich tutorial content, helping you to develop a deeper conceptual understanding of your subject matter.

List Price = $125.00  | College Bookstore Wholesale Price = $93.75

MindTap® Math, 1 term (6 months) Instant Access, Enhanced  (ISBN-10: 1305962567 | ISBN-13: 9781305962569)

It’s 1 AM, there are 20 tabs open on your computer, you lost your notes for the test, and you’re so tired you can’t even read. It’d be nice if someone came up with a more efficient way of studying. Luckily, someone did. Unlike other programs, MindTap is a unique course experience that gives you everything, all in one place, at your fingertips. With a single login for MindTap® Math for Stewart/Redlin/Watson’s COLLEGE ALGEBRA, Enhanced Edition, 7th you can connect with your instructor, organize coursework, and have access to a range of study tools, including, topic-specific lecture videos, and e-book. With this course, you will always know where you stand via the Progress App that tracks your performance. MindTap is available for purchase with or without a print textbook. Access to the course always includes access to the eBook.

List Price = $94.00  | College Bookstore Wholesale Price = $94.00

Meet the Author

Author Bio

James Stewart

The late James Stewart received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He did research at the University of London and was influenced by the famous mathematician George Polya at Stanford University. Stewart was most recently Professor of Mathematics at McMaster University, and his research field was harmonic analysis. Stewart was the author of a best-selling calculus textbook series published by Cengage Learning, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS, and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of precalculus texts.

Lothar Redlin

Lothar Redlin grew up on Vancouver Island, received a Bachelor of Science degree from the University of Victoria, and a Ph.D. from McMaster University in 1978. He subsequently did research and taught at the University of Washington, the University of Waterloo, and California State University, Long Beach. He is currently Professor of Mathematics at The Pennsylvania State University, Abington Campus. His research field is topology.

Saleem Watson

Saleem Watson received his Bachelor of Science degree from Andrews University in Michigan. He did graduate studies at Dalhousie University and McMaster University, where he received his Ph.D. in 1978. He subsequently did research at the Mathematics Institute of the University of Warsaw in Poland. He also taught at The Pennsylvania State University. He is currently Professor of Mathematics at California State University, Long Beach. His research field is functional analysis.