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Stay on current Cengage siteReflecting Cengage Learning's commitment to offering flexible teaching solutions and value for students and instructors, this new hybrid edition features the instructional presentation found in the printed text while delivering end-of-section exercises online in WebAssign. The result—a briefer printed text that engages students online! 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 sixth edition promises to help more students than ever build conceptual understanding and a core of fundamental skills.

Preface.

To the Student.

Are You Ready for College Algebra?

Prologue: Principles of Problem Solving.

P. PREREQUISITES.

Modeling the Real World with Algebra. The Real Numbers. Integer Exponents and Scientific Notation. Rational Exponents and Radicals. Algebraic Expressions. Factoring. Rational Expressions. Solving Basic Equations. Chapter P Review. Chapter P Test. FOCUS ON MODELING: Making the Best Decisions.

1. EQUATIONS AND GRAPHS.

The Coordinate Plane. Graphs of Equations in Two Variables; Circles. Lines. Solving Equations Graphically. Modeling with Equations. Solving Quadratic Equations. Solving Other Types of Equations. Solving Inequalities. Solving Absolute Value Equations and Inequalities. Chapter 1 Review. Chapter 1 Test. FOCUS ON MODELING: Fitting Lines to Data.

2. FUNCTIONS.

Functions. Graphs of Functions. Getting Information from the Graph of a Function. Average Rate of Change of a Function. Transformations of Functions. Combining Functions. One-to-One Functions and Their Inverses. Chapter 2 Review. Chapter 2 Test. FOCUS ON MODELING: Modeling with Functions.

3. POLYNOMIAL AND RATIONAL FUNCTIONS.

Quadratic Functions and Models. Polynomial Functions and Their Graphs. Dividing Polynomials. Real Zeros of Polynomials. Complex Numbers. Complex Zeros and the Fundamental Theorem of Algebra. Rational Functions. Modeling Variation. Chapter 3 Review. Chapter 3 Test. FOCUS ON MODELING: Fitting Polynomial Curves to Data.

4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.

Exponential Functions. The Natural Exponential Function. Logarithmic Functions. Laws of Logarithms. Exponential and Logarithmic Equations. Modeling with Exponential and Logarithmic Functions. Chapter 4 Review. Chapter 4 Test. Cumulative Review Test: Chapters 2, 3, and 4. FOCUS ON MODELING: Fitting Exponential and Power Curves to Data.

5. SYSTEMS OF EQUATIONS AND INEQUALITIES.

Systems of Linear Equations in Two Variables. Systems of Linear Equations in Several Variables. Partial Fractions. Systems of Nonlinear Equations. Systems of Inequalities. Chapter 5 Review. Chapter 5 Test. FOCUS ON MODELING: Linear Programming.

6. MATRICES AND DETERMINANTS.

Matrices and Systems of Linear Equations. The Algebra of Matrices. Inverses of Matrices and Matrix Equations. Determinants and Cramer's Rules. Chapter 6 Review. Chapter 6 Test. FOCUS ON MODELING: Computer Graphics.

7. CONIC SECTIONS.

Parabolas. Ellipses. Hyperbolas. Shifted Conics. Chapter 7 Review. Chapter 7 Test. Cumulative Review Test: Chapters 5, 6, and 7. FOCUS ON MODELING: Conics in Architecture.

8. SEQUENCES AND SERIES.

Sequences and Summation Notation. Arithmetic Sequences. Geometric Sequences. Mathematics of Finance. Mathematical Induction. The Binomial Theorem. Chapter 8 Review. Chapter 8 Test. FOCUS ON MODELING: Modeling with Recursive Sequences.

9. PROBABILITY AND STATISTICS.

Counting. Probability. Binomial Probability. Expected Value. Chapter 9 Review. Chapter 9 Test. Cumulative Review Test: Chapters 8 and 9. FOCUS ON MODELING: The Monte Carlo Method.

APPENDIX A: Calculations and Calculations.

APPENDIX B: Graphing with a Graphing Calculator.

APPENDIX C: Using the TI-83/84 Graphing Calculator.

- NEW! The hybrid edition of the text provides a less-expensive, shorter option for students. End-of-section exercises are omitted from the text and appear online only. The hybrid edition is packaged with Enhanced WebAssign and the Cengage YouBook.
- Early Chapter on Functions. The chapter on Functions now appears earlier in the book--moving from Chapter 3 to Chapter 2. The review material (in Chapters P and 1) has been streamlined and rewritten, allowing Instructors to more quickly get to the key part of the course—functions.
- Chapter P Preliminaries. This chapter now contains a section on basic equations, including linear equations and power equations. Instructors have available to them important review material which ultimately will help in their students' greater understanding of graphing functions.
- Diagnostic Test. A diagnostic test, designed to test preparedness for college algebra, is available at the beginning of the book. This allows Instructors to more easily determine if their students are ready for the material they will encounter in college algebra or if they should review some basic algebra skills. As a result instructors can better schedule and organize their lecture topics.
- Exercises. More than 30% of the exercises are new. This includes new Concept Exercises and new Skills exercises. Updated exercises provide more relevant material that will engage students. Concept and Skill exercises will improve their students' ability to handle application problems and allow instructors to spend more time on more interesting applied problems.
- Book Companion Website. A new website www.stewartmath.com contains Discovery Projects for each chapter and Focus on Problem Solving sections that highlight different problem-solving principles outlined in the Prologue. Instructors can direct students to this additional source for learning problem solving skills.

- 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.
- 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.

**James Stewart**

McMaster University

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**

Pennsylvania State University, Abington Campus

The late 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 was most recently Professor of Mathematics at The Pennsylvania State University, Abington Campus. His research field was topology.

**Saleem Watson**

California State University, Long Beach

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. Watson is a co-author on Stewart's best-selling Calculus franchise.

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