| Preface to the Instructor |
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xi | |
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xvi | |
| Photo Credits |
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xx | |
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1 | (48) |
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2 | (7) |
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Graphs of Equations; Circles |
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9 | (13) |
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22 | (16) |
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Scatter Diagrams; Linear Curve Fitting |
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38 | (11) |
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45 | (3) |
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48 | (1) |
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Functions and Their Graphs |
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49 | (74) |
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50 | (13) |
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63 | (9) |
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72 | (11) |
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Library of Functions; Piecewise-defined Functions |
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83 | (11) |
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Graphing Techniques: Transformations |
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94 | (13) |
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Mathematical Models: Constructing Functions |
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107 | (16) |
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115 | (6) |
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121 | (1) |
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122 | (1) |
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Polynomial and Rational Functions |
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123 | (100) |
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Quadratic Functions and Models |
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124 | (20) |
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144 | (18) |
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162 | (11) |
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Rational Functions II: Analyzing Graphs |
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173 | (15) |
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Polynomial and Rational Inequalities |
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188 | (6) |
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The Real Zeros of a Polynomial Function |
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194 | (15) |
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Complex Zeros; Fundamental Theorem of Algebra |
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209 | (14) |
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215 | (5) |
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220 | (1) |
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221 | (2) |
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Exponential and Logarithmic Functions |
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223 | (100) |
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224 | (7) |
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231 | (13) |
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244 | (16) |
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260 | (13) |
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273 | (9) |
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Logarithmic and Exponential Equations |
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282 | (5) |
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287 | (10) |
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Exponential Growth and Decay; Newton's Law; Logistic Models |
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297 | (9) |
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Fitting Data to Exponential, Logarithmic, and Logistic Functions |
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306 | (17) |
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314 | (6) |
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320 | (1) |
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321 | (2) |
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323 | (90) |
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324 | (14) |
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Trigonometric Functions: Unit Circle Approach |
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338 | (17) |
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Properties of the Trigonometric Functions |
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355 | (14) |
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Graphs of the Sine and Cosine Functions |
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369 | (17) |
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Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions |
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386 | (7) |
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Phase Shift; Sinusoidal Curve Fitting |
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393 | (20) |
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405 | (6) |
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411 | (1) |
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412 | (1) |
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413 | (68) |
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The Inverse Sine, Cosine, and Tangent Functions |
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414 | (11) |
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The Inverse Trigonometric Functions (continued) |
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425 | (5) |
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430 | (7) |
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Sum and Difference Formulas |
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437 | (11) |
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Double-angle and Half-angle Formulas |
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448 | (9) |
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Product-to-Sum and Sum-to-Product Formulas |
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457 | (4) |
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Trigonometric Equations I |
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461 | (6) |
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Trigonometric Equations II |
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467 | (14) |
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475 | (4) |
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479 | (1) |
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480 | (1) |
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Applications of Trigonometric Functions |
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481 | (54) |
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Right Triangle Trigonometry; Applications |
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482 | (12) |
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494 | (13) |
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507 | (6) |
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513 | (6) |
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Simple Harmonic Motion; Damped Motion; Combining Waves |
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519 | (16) |
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528 | (5) |
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533 | (1) |
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534 | (1) |
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Polar Coordinates; Vectors |
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535 | (78) |
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536 | (9) |
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Polar Equations and Graphs |
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545 | (17) |
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The Complex Plane; De Moivre's Theorem |
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562 | (8) |
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570 | (12) |
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582 | (8) |
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590 | (10) |
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600 | (13) |
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607 | (4) |
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611 | (1) |
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612 | (1) |
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613 | (70) |
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614 | (1) |
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615 | (10) |
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625 | (10) |
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635 | (14) |
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Rotation of Axes; General Form of a Conic |
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649 | (9) |
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Polar Equations of Conics |
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658 | (6) |
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Plane Curves and Parametric Equations |
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664 | (19) |
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678 | (3) |
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681 | (1) |
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682 | (1) |
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Systems of Equations and Inequalities |
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683 | (100) |
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Systems of Linear Equations: Substitution and Elimination |
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684 | (16) |
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Systems of Linear Equations: Matrices |
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700 | (16) |
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Systems of Linear Equations: Determinants |
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716 | (10) |
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726 | (17) |
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Partial Fraction Decomposition |
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743 | (8) |
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Systems of Nonlinear Equations |
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751 | (9) |
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760 | (9) |
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769 | (14) |
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777 | (4) |
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781 | (1) |
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782 | (1) |
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Sequences; Induction; The Binomial Theorem |
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783 | (44) |
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784 | (9) |
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793 | (6) |
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Geometric Sequences; Geometric Series |
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799 | (12) |
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811 | (4) |
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815 | (12) |
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822 | (3) |
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825 | (1) |
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826 | (1) |
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827 | (34) |
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828 | (6) |
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Permutations and Combinations |
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834 | (11) |
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845 | (16) |
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856 | (3) |
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859 | (1) |
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860 | (1) |
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A Preview of Calculus: The Limit, Derivative, and Integral of a Function |
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861 | (42) |
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Finding Limits Using Tables and Graphs |
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862 | (5) |
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Algebra Techniques for Finding Limits |
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867 | (8) |
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One-sided Limits, Continuous Functions |
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875 | (8) |
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The Tangent Problem; The Derivative |
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883 | (8) |
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The Area Problem; The Integral |
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891 | (12) |
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898 | (4) |
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902 | (1) |
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903 | (82) |
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903 | (10) |
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913 | (5) |
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A.3 Polynomials and Rational Expressions |
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918 | (11) |
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A.4 Polynomial Division; Synthetic Division |
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929 | (7) |
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936 | (11) |
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A.6 Complex Numbers; Quadratic Equations in the Complex Number System |
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947 | (9) |
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A.7 Setting Up Equations: Applications |
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956 | (12) |
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A.8 Interval Notation; Solving Inequalities |
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968 | (9) |
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A.9 nth Roots; Rational Exponents; Radical Equations |
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977 | (8) |
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Appendix B Graphing Utilities |
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985 | (1) |
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B.1 The Viewing Rectangle |
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985 | (2) |
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B.2 Using a Graphing Utility to Graph Equations |
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987 | (4) |
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B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry |
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991 | (3) |
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B.4 Using a Graphing Utility to Solve Equations |
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994 | (1) |
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995 | (1) |
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B.6 Using a Graphing Utility to Graph Inequalities |
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996 | (2) |
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B.7 Using a Graphing Utility to Solve Systems of Linear Equations |
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998 | (1) |
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B.8 Using a Graphing Utility to Graph a Polar Equation |
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999 | (1) |
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B.9 Using a Graphing Utility to Graph Parametric Equations |
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1000 | |
| Answers |
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1 | (1) |
| Index |
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1 | |
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