College Algebra / Edition 6by James Stewart, Lothar Redlin, Saleem Watson
Pub. Date: 01/23/2012
Publisher: Cengage Learning
Learn to think mathematically and develop genuine problem-solving skills with Stewart, Redlin, and Watson's COLLEGE ALGEBRA, Sixth Edition. This straightforward and easy-to-use algebra book will help you learn the fundamentals of algebra in a variety of practical ways. The book features new tools to help you succeed, such as learning objectives before each section
Learn to think mathematically and develop genuine problem-solving skills with Stewart, Redlin, and Watson's COLLEGE ALGEBRA, Sixth Edition. This straightforward and easy-to-use algebra book will help you learn the fundamentals of algebra in a variety of practical ways. The book features new tools to help you succeed, such as learning objectives before each section to prepare you for what you're about to learn, and a list of formulas and key concepts after each section that help reinforce what you've learned. In addition, the book includes many real-world examples that show you how mathematics is used to model in fields like engineering, business, physics, chemistry, and biology.
Table of Contents
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.
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