List of Graphing Calculator Topics | p. ix |

Preface | p. xi |

Fundamental Concepts of Algebra | p. 1 |

Real Numbers | p. 2 |

Exponents and Radicals | p. 19 |

Algebraic Expressions | p. 31 |

Fractional Expressions | p. 45 |

Chapter 1 Review Exercises | p. 56 |

Chapter 1 Discussion Exercises | p. 58 |

Equations and Inequalities | p. 59 |

Equations | p. 60 |

Applied Problems | p. 69 |

Quadratic Equations | p. 80 |

Complex Numbers | p. 94 |

Other Types of Equations | p. 101 |

Inequalities | p. 110 |

More on Inequalities | p. 119 |

Chapter 2 Review Exercises | p. 127 |

Chapter 2 Discussion Exercises | p. 130 |

Functions and Graphs | p. 131 |

Rectangular Coordinate Systems | p. 132 |

Graphs of Equations | p. 141 |

Lines | p. 157 |

Definition of Function | p. 175 |

Graphs of Functions | p. 193 |

Quadratic Functions | p. 209 |

Operations on Functions | p. 224 |

Inverse Functions | p. 235 |

Variation | p. 245 |

Chapter 3 Review Exercises | p. 252 |

Chapter 3 Discussion Exercises | p. 258 |

Polynomial and Rational Functions | p. 261 |

Polynomial Functions of Degree Greater Than 2 | p. 262 |

Properties of Division | p. 273 |

Zeros of Polynomials | p. 281 |

Complex and Rational Zeros of Polynomials | p. 295 |

Rational Functions | p. 303 |

Chapter 4 Review Exercises | p. 321 |

Chapter 4 Discussion Exercises | p. 323 |

Exponential and Logarithmic Functions | p. 325 |

Exponential Functions | p. 326 |

The Natural Exponential Function | p. 338 |

Logarithmic Functions | p. 348 |

Properties of Logarithms | p. 364 |

Exponential and Logarithmic Equations | p. 372 |

Chapter 5 Review Exercises | p. 385 |

Chapter 5 Discussion Exercises | p. 388 |

The Trigonometric Functions | p. 391 |

Angles | p. 392 |

Trigonometric Functions of Angles | p. 403 |

Trigonometric Functions of Real Numbers | p. 421 |

Values of the Trigonometric Functions | p. 440 |

Trigonometric Graphs | p. 448 |

Additional Trigonometric Graphs | p. 463 |

Applied Problems | p. 471 |

Chapter 6 Review Exercises | p. 484 |

Chapter 6 Discussion Exercises | p. 491 |

Analytic Trigonometry | p. 493 |

Verifying Trigonometric Identities | p. 494 |

Trigonometric Equations | p. 500 |

The Addition and Subtraction Formulas | p. 515 |

Multiple-Angle Formulas | p. 526 |

Product-to-Sum and Sum-to-Product Formulas | p. 536 |

The Inverse Trigonometric Functions | p. 541 |

Chapter 7 Review Exercises | p. 557 |

Chapter 7 Discussion Exercises | p. 560 |

Applications of Trigonometry | p. 561 |

The Law of Sines | p. 562 |

The Law of Cosines | p. 572 |

Vectors | p. 581 |

The Dot Product | p. 596 |

Trigonometric Form for Complex Numbers | p. 607 |

De Moivre's Theorem and nth Roots of Complex Numbers | p. 614 |

Chapter 8 Review Exercises | p. 620 |

Chapter 8 Discussion Exercises | p. 624 |

Systems of Equations and Inequalities | p. 625 |

Systems of Equations | p. 626 |

Systems of Linear Equations in Two Variables | p. 635 |

Systems of Inequalities | p. 644 |

Linear Programming | p. 653 |

Systems of Linear Equations in More Than Two Variables | p. 662 |

The Algebra of Matrices | p. 677 |

The Inverse of a Matrix | p. 687 |

Determinants | p. 694 |

Properties of Determinants | p. 701 |

Partial Fractions | p. 709 |

Chapter 9 Review Exercises | p. 715 |

Chapter 9 Discussion Exercises | p. 718 |

Sequences, Series, and Probability | p. 721 |

Infinite Sequences and Summation Notation | p. 722 |

Arithmetic Sequences | p. 738 |

Geometric Sequences | p. 745 |

Mathematical Induction | p. 754 |

The Binomial Theorem | p. 761 |

Permutations | p. 770 |

Distinguishable Permutations and Combinations | p. 777 |

Probability | p. 786 |

Chapter 10 Review Exercises | p. 799 |

Chapter 10 Discussion Exercises | p. 802 |

Topics from Analytic Geometry | p. 805 |

Parabolas | p. 806 |

Ellipses | p. 816 |

Hyperbolas | p. 830 |

Plane Curves and Parametric Equations | p. 842 |

Polar Coordinates | p. 857 |

Polar Equations of Conics | p. 873 |

Chapter 11 Review Exercises | p. 879 |

Chapter 11 Discussion Exercises | p. 881 |

Appendixes | p. 883 |

Common Graphs and Their Equations | p. 884 |

A Summary of Graph Transformations | p. 886 |

Graphs of Trigonometric Functions and Their Inverses | p. 888 |

Values of the Trigonometric Functions of Special Angles on a Unit Circle | p. 890 |

Answers to Selected Exercises | p. A1 |

Index of Applications | p. A87 |

Index | p. A93 |

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