College Algebra
, by Gustafson, R. David
- ISBN: 9780534351618 | 0534351611
- Cover: Paperback
- Copyright: 2/1/1998
| Prerequisites for College Algebra | p. 1 |
| Sets of Real Numbers | p. 2 |
| Integer Exponents and Scientific Notation | p. 13 |
| Rational Exponents and Radicals | p. 24 |
| Polynomials | p. 35 |
| Factoring Polynomials | p. 46 |
| Algebraic Fractions | p. 55 |
| Problems and Projects | p. 65 |
| Chapter Summary | p. 68 |
| Chapter Test | p. 73 |
| Equations and Inequalities | p. 75 |
| Equations | p. 76 |
| Applications of Linear Equations | p. 84 |
| Quadratic Equations | p. 93 |
| Applications of Quadratic Equations | p. 103 |
| Complex Numbers | p. 110 |
| Polynomial and Radical Equations | p. 119 |
| Inequalities | p. 125 |
| Absolute Value | p. 137 |
| Problems and Projects | p. 144 |
| Chapter Summary | p. 145 |
| Chapter Test | p. 149 |
| Cumulative Review Exercises | p. 150 |
| The Rectangular Coordinate System and Graphs of Equations | p. 153 |
| The Rectangular Coordinate System | p. 154 |
| The Slope of a Nonvertical Line | p. 169 |
| Writing Equations of Lines | p. 180 |
| Graphs of Equations | p. 192 |
| Proportion and Variation | p. 207 |
| Problems and Projects | p. 215 |
| Chapter Summary | p. 216 |
| Chapter Test | p. 222 |
| Functions | p. 224 |
| Functions and Function Notation | p. 225 |
| Quadratic Functions | p. 236 |
| Polynomial and Other Functions | p. 246 |
| Translating and Stretching Graphs | p. 255 |
| Rational Functions | p. 265 |
| Operations on Functions | p. 279 |
| Inverse Functions | p. 289 |
| Problems and Projects | p. 297 |
| Chapter Summary | p. 298 |
| Chapter Test | p. 302 |
| Cumulative Review Exercises | p. 304 |
| Exponential and Logarithmic Functions | p. 306 |
| Exponential Functions and Their Graphs | p. 307 |
| Applications of Exponential Functions | p. 319 |
| Logarithmic Functions and Their Graphs | p. 325 |
| Applications of Logarithmic Functions | p. 335 |
| Properties of Logarithms | p. 340 |
| Exponential and Logarithmic Equations | p. 350 |
| Problems and Projects | p. 357 |
| Chapter Summary | p. 359 |
| Chapter Test | p. 363 |
| Solving Polynomial Equations | p. 365 |
| The Remainder and Factor Theorems; Synthetic Division | p. 366 |
| Descartes' Rule of Signs and Bounds on Roots | p. 375 |
| Rational Roots of Polynomial Equations | p. 381 |
| Irrational Roots of Polynomial Equations | p. 389 |
| Problems and Projects | p. 394 |
| Chapter Summary | p. 395 |
| Chapter Test | p. 398 |
| Cumulative Review Exercises | p. 398 |
| Linear Systems | p. 400 |
| Systems of Linear Equations | p. 401 |
| Gaussian Elimination and Matrix Methods | p. 413 |
| Matrix Algebra | p. 423 |
| Matrix Inversion | p. 436 |
| Determinants | p. 443 |
| Partial Fractions | p. 456 |
| Graphs of Linear Inequalities | p. 463 |
| Linear Programming | p. 469 |
| Problems and Projects | p. 478 |
| Chapter Summary | p. 480 |
| Chapter Test | p. 485 |
| Conic Sections and Quadratic Systems | p. 487 |
| The Circle and the Parabola | p. 488 |
| The Ellipse | p. 501 |
| The Hyperbola | p. 512 |
| Solving Simultaneous Second-Degree Equations | p. 521 |
| Problems and Projects | p. 526 |
| Chapter Summary | p. 528 |
| Chapter Test | p. 532 |
| Cumulative Review Exercises | p. 533 |
| Natural-Number Functions and Probability | p. 535 |
| The Binomial Theorem | p. 536 |
| Sequences, Series, and Summation Notation | p. 541 |
| Arithmetic Sequences | p. 548 |
| Geometric Sequences | p. 553 |
| Mathematical Induction | p. 561 |
| Permutations and Combinations | p. 566 |
| Probability | p. 575 |
| Computation of Compound Probabilities | p. 581 |
| Odds and Mathematical Expectation | p. 586 |
| Problems and Projects | p. 589 |
| Chapter Summary | p. 591 |
| Chapter Test | p. 595 |
| The Mathematics of Finance | p. 597 |
| Compound Interest | p. 598 |
| Annuities and Future Value | p. 606 |
| Present Value of an Annuity; Amortization | p. 612 |
| Problems and Projects | p. 617 |
| Chapter Summary | p. 619 |
| Chapter Test | p. 621 |
| Cumulative Review Exercises | p. 622 |
| A Proof of the Binomial Theorem | p. 1 |
| Tables | p. 3 |
| Powers and Roots | p. 3 |
| Base-10 Logarithms | p. 4 |
| Base-e Logarithms | p. 5 |
| Answers to Selected Exercises | p. 6 |
| Index | p. 1 |
| Table of Contents provided by Syndetics. All Rights Reserved. |
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