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What is included with this book?
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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