College Algebra (with CD-ROM, Make the Grade, and InfoTrac)
, by Kaufmann, Jerome E.
- ISBN: 9780534432775 | 0534432778
- Cover: Hardcover
- Copyright: 11/26/2001
| 0. SOME BASIC CONCEPTS OF ALGEBRA: A REVIEW | |
| Some Basic Ideas | |
| Exponents | |
| Polynomials | |
| Factoring Polynomials | |
| Rational Expressions | |
| Radicals | |
| Relationships Between Exponents and Roots | |
| Complex Numbers | |
| Chapter 0 Summary | |
| Chapter 0 Review Problem Set | |
| Chapter 0 Test | |
| 1. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING | |
| Linear Equations and Problem Solving | |
| More Equations and Applications | |
| Quadratic Equations | |
| Applications of Linear and Quadratic Equations | |
| Miscellaneous Equations | |
| Inequalities | |
| Inequalities Involving Quotients and Absolute Value | |
| Chapter 1 Summary | |
| Chapter 1 Review Problem Set | |
| Chapter 1 Test | |
| 2. COORDINATE GEOMETRY AND GRAPHING TECHNIQUES | |
| Coordinate Geometry | |
| Graphing Techniques: Linear Equations and Inequalities | |
| Determining the Equation of a Line | |
| More on Graphing | |
| Circles, Ellipses, and Hyperbolas | |
| Chapter 2 Summary | |
| Chapter 2 Review Problem Set | |
| Chapter 2 Test | |
| Cumulative Review Problem Set (Chapters 0-2) | |
| 3. FUNCTIONS | |
| Concept of a Function | |
| Linear Functions and Applications | |
| Quadratic Functions | |
| More Quadratic Functions and Applications | |
| Transformations of Some Basic Curves | |
| Combining Functions | |
| Direct and Inverse Variation | |
| Chapter 3 Summary | |
| Chapter 3 Review Problem Set | |
| Chapter 3 Test | |
| Cumulative Review Problem Set (Chapters 0-3) | |
| 4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS | |
| Exponents and Exponential Functions | |
| Applications of Exponential Functions | |
| Inverse Functions | |
| Logarithms | |
| Logarithmic Functions | |
| Exponential and Logarithmic Functions: Problem Solving | |
| Chapter 4 Summary | |
| Chapter 4 Review Problem Set | |
| Chapter 4 Test | |
| Cumulative Review Problem Set (Chapters 0-4) | |
| 5. POLYNOMIAL AND RATIONAL FUNCTIONS | |
| Dividing Polynomials | |
| Remainder and Factor Theorems | |
| Polynomial Equations | |
| Graphing Polynomial Functions | |
| Graphing Rational Functions | |
| More on Graphing Rational Functions | |
| Partial Fractions | |
| Chapter 5 Summary | |
| Chapter 5 Review Problem Set | |
| Chapter 5 Test | |
| Cumulative Review Problem Set (Chapters 0-5) | |
| 6. SYSTEMS OF EQUATIONS | |
| Systems of Two Linear Equations in Two Variables | |
| Systems of Three Linear Equations in Three Variables | |
| Matrix Approach to Solving Systems | |
| Determinants | |
| Cramer's Rule | |
| Chapter 6 Summary | |
| Chapter 6 Review Problem Set | |
| Chapter 6 Test | |
| Cumulative Review Problem Set (Chapters 0-6) | |
| 7. ALGEBRA OF MATRICES | |
| Algebra of 2 × 2 Matrices | |
| Multiplicative Inverses | |
| m × n Matrices | |
| Systems Involving Linear Inequalities: Linear Programming | |
| Chapter 7 Summary | |
| Chapter 7 Review Problem Set | |
| Chapter 7 Test | |
| 8. CONIC SECTIONS | |
| Parabolas | |
| Ellipses | |
| Hyperbolas | |
| Systems Involving Nonlinear Equations | |
| Chapter 8 Summary | |
| Chapter 8 Review Problem Set | |
| Chapter 8 Test | |
| Cumulative Review Problem Set (Chapters 0-8) | |
| 9. SEQUENCES AND MATHEMATICAL INDUCTION | |
| Arithmetic Sequences | |
| Geometric Sequences | |
| Another Look at Problem Solving | |
| Mathematical Induction | |
| Chapter 9 Summary | |
| Chapter 9 Review Problem Set | |
| Chapter 9 Test | |
| 10. COUNTING TECHNIQUES, PROBABILITY, AND THE BINOMIAL THEOREM | |
| Fundamental Principle of Counting | |
| Permutations and Combinations | |
| Probability | |
| Some Properties of Probability and Expected Values | |
| Conditional Probability: Dependent and Independent Events | |
| Binomial Theorem | |
| Chapter 10 Summary | |
| Chapter 10 Review Problem Set | |
| Chapter 10 Test | |
| Appendix A: Common Logarithms | |
| Appendix B: Natural Logarithms | |
| Answers to Odd-Numbered Problems and all Chapter Review, Chapter Test, and Cumulative Review Problems | |
| Answers to Selcted Even-Numbered Problems | |
| Index |
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