Preface | p. viii |

Fundamental Concepts of Algebra | p. 1 |

Real Numbers | p. 2 |

Exponents and Radicals | p. 16 |

Algebraic Expressions | p. 27 |

Fractional Expressions | p. 40 |

Chapter 1 Review Exercises | p. 49 |

Chapter 1 Discussion Exercises | p. 51 |

Equations and Inequalities | p. 53 |

Equations | p. 54 |

Applied Problems | p. 61 |

Quadratic Equations | p. 73 |

Complex Numbers | p. 87 |

Other Types of Equations | p. 94 |

Inequalities | p. 102 |

More on Inequalities | p. 111 |

Chapter 2 Review Exercises | p. 119 |

Chapter 2 Discussion Exercises | p. 122 |

Functions and Graphs | p. 123 |

Rectangular Coordinate Systems | p. 124 |

Graphs of Equations | p. 130 |

Lines | p. 140 |

Definition of Function | p. 155 |

Graphs of Functions | p. 171 |

Quadratic Functions | p. 185 |

Operations on Functions | p. 197 |

Chapter 3 Review Exercises | p. 205 |

Chapter 3 Discussion Exercises | p. 210 |

Polynomial and Rational Functions | p. 213 |

Polynomial Functions of Degree Greater Than 2 | p. 214 |

Properties of Division | p. 222 |

Zeros of Polynomials | p. 229 |

Complex and Rational Zeros of Polynomials | p. 241 |

Rational Functions | p. 248 |

Variation | p. 265 |

Chapter 4 Review Exercises | p. 272 |

Chapter 4 Discussion Exercises | p. 275 |

Inverse, Exponential, and Logarithmic Functions | p. 277 |

Inverse Functions | p. 278 |

Exponential Functions | p. 287 |

The Natural Exponential Function | p. 299 |

Logarithmic Functions | p. 308 |

Properties of Logarithms | p. 323 |

Exponential and Logarithmic Equations | p. 330 |

Chapter 5 Review Exercises | p. 342 |

Chapter 5 Discussion Exercises | p. 345 |

The Trigonometric Functions | p. 347 |

Angles | p. 348 |

Trigonometric Functions of Angles | p. 358 |

Trigonometric Functions of Real Numbers | p. 375 |

Values of the Trigonometric Functions | p. 393 |

Trigonometric Graphs | p. 400 |

Additional Trigonometric Graphs | p. 412 |

Applied Problems | p. 420 |

Chapter 6 Review Exercises | p. 433 |

Chapter 6 Discussion Exercises | p. 439 |

Analytic Trigonometry | p. 441 |

Verifying Trigonometric Identities | p. 442 |

Trigonometric Equations | p. 447 |

The Addition and Subtraction Formulas | p. 457 |

Multiple-Angle Formulas | p. 467 |

Product-to-Sum and Sum-to-Product Formulas | p. 477 |

The Inverse Trigonometric Functions | p. 482 |

Chapter 7 Review Exercises | p. 496 |

Chapter 7 Discussion Exercises | p. 499 |

Applications of Trigonometry | p. 501 |

The Law of Sines | p. 502 |

The Law of Cosines | p. 512 |

Vectors | p. 522 |

The Dot Product | p. 536 |

Trigonometric Form for Complex Numbers | p. 546 |

De Moivre's Theorem and nth Roots of Complex Numbers | p. 552 |

Chapter 8 Review Exercises | p. 557 |

Chapter 8 Discussion Exercises | p. 560 |

Systems of Equations and Inequalities | p. 563 |

Systems of Equations | p. 564 |

Systems of Linear Equations in Two Variables | p. 573 |

Systems of Inequalities | p. 582 |

Linear Programming | p. 590 |

Systems of Linear Equations in More Than Two Variables | p. 598 |

The Algebra of Matrices | p. 614 |

The Inverse of a Matrix | p. 623 |

Determinants | p. 628 |

Properties of Determinants | p. 634 |

Partial Fractions | p. 642 |

Chapter 9 Review Exercises | p. 648 |

Chapter 9 Discussion Exercises | p. 651 |

Sequences, Series, and Probability | p. 653 |

Infinite Sequences and Summation Notation | p. 654 |

Arithmetic Sequences | p. 664 |

Geometric Sequences | p. 671 |

Mathematical Induction | p. 680 |

The Binomial Theorem | p. 686 |

Permutations | p. 695 |

Distinguishable Permutations and Combinations | p. 702 |

Probability | p. 709 |

Chapter 10 Review Exercises | p. 723 |

Chapter 10 Discussion Exercises | p. 725 |

Topics from Analytic Geometry | p. 727 |

Parabolas | p. 728 |

Ellipses | p. 737 |

Hyperbolas | p. 750 |

Plane Curves and Parametric Equations | p. 762 |

Polar Coordinates | p. 772 |

Polar Equations of Conics | p. 786 |

Chapter 11 Review Exercises | p. 792 |

Chapter 11 Discussion Exercises | p. 794 |

Appendixes | p. 797 |

Common Graphs and Their Equations | p. 798 |

A Summary of Graph Transformations | p. 800 |

Graphs of Trigonometric Functions and Their Inverses | p. 802 |

Values of the Trigonometric Functions of Special Angles on a Unit Circle | p. 804 |

Answers to Selected Exercises | p. A1 |

Index of Applications | p. A79 |

Index | p. A84 |

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