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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