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1.1 The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing Equations |
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1 | (8) |
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1.2 Intercepts; Symmetry; Graphing Key Equations |
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9 | (7) |
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1.3 Solving Equations Using a Graphing Utility |
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16 | |
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19 | |
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27 | (17) |
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33 | (7) |
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40 | (3) |
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43 | (1) |
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Chapter 2 Functions and Their Graphs |
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44 | (7) |
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2.2 The Graph of a Function |
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51 | (5) |
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2.3 Properties of Functions |
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56 | (8) |
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2.4 Library of Functions; Piecewise-defined Functions |
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64 | (7) |
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2.5 Graphing Techniques: Transformations |
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71 | (9) |
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2.6 Mathematical Models: Building Functions |
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80 | (19) |
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83 | (7) |
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90 | (3) |
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93 | (4) |
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97 | (2) |
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Chapter 3 Linear and Quadratic Functions |
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3.1 Properties of Linear Functions and Linear Models |
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99 | (5) |
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3.2 Building Linear Functions from Data |
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104 | (3) |
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3.3 Quadratic Functions and Their Properties |
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107 | (12) |
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3.4 Build Quadratic Models from Verbal Descriptions and from Data |
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119 | (4) |
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3.5 Inequalities Involving Quadratic Functions |
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123 | (26) |
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133 | (7) |
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140 | (3) |
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143 | (3) |
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146 | (3) |
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Chapter 4 Polynomial and Rational Functions |
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4.1 Polynomial Functions and Models |
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149 | (13) |
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4.2 The Real Zeros of a Polynomial Function |
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162 | (16) |
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4.3 Complex Zeros; Fundamental Theorem of Algebra |
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178 | (4) |
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4.4 Properties of Rational Functions |
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182 | (5) |
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4.5 The Graph of a Rational Function |
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187 | (25) |
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4.6 Polynomial and Rational Inequalities |
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212 | (37) |
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224 | (14) |
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238 | (4) |
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242 | (5) |
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247 | (2) |
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Chapter 5 Exponential and Logarithmic Functions |
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249 | (8) |
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5.2 One-to-One Functions; Inverse Functions |
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257 | (10) |
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5.3 Exponential Functions |
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267 | (11) |
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5.4 Logarithmic Functions |
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278 | (10) |
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5.5 Properties of Logarithms |
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288 | (5) |
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5.6 Logarithmic and Exponential Equations |
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293 | (10) |
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303 | (3) |
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5.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models |
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306 | (6) |
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5.9 Building Exponential, Logarithmic, and Logistic Models from Data |
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312 | (25) |
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315 | (12) |
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327 | (4) |
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331 | (4) |
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335 | (2) |
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Chapter 6 Trigonometric Functions |
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6.1 Angles and Their Measure |
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337 | (4) |
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6.2 Trigonometric Functions; Unit Circle Approach |
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341 | (9) |
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6.3 Properties of the Trigonometric Functions |
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350 | (6) |
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6.4 Graphs of the Sine and Cosine Functions |
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356 | (10) |
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6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions |
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366 | (5) |
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6.6 Phase Shift; Sinusoidal Curve Fitting |
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371 | (25) |
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377 | (8) |
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385 | (4) |
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389 | (4) |
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393 | (3) |
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Chapter 7 Analytic Trigonometry |
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7.1 The Inverse Sine, Cosine, and Tangent Functions |
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396 | (6) |
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7.2 The Inverse Trigonometric Functions (Continued) |
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402 | (6) |
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7.3 Trigonometric Equations |
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408 | (10) |
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7.4 Trigonometric Identities |
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418 | (6) |
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7.5 Sum and Difference Formulas |
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424 | (12) |
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7.6 Double-angle and Half-angle Formulas |
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436 | (15) |
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7.7 Product-to-Sum and Sum-to-Product Formulas |
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451 | (33) |
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456 | (14) |
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470 | (5) |
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475 | (5) |
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480 | (4) |
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Chapter 8 Applications of Trigonometric Functions |
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8.1 Right Triangle Trigonometry; Applications |
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484 | (7) |
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491 | (7) |
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498 | (6) |
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504 | (5) |
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8.5 Simple Harmonic Motion; Damped Motion; Combining Waves |
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509 | (25) |
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513 | (8) |
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521 | (3) |
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524 | (6) |
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530 | (4) |
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Chapter 9 Polar Coordinates; Vectors |
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534 | (4) |
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9.2 Polar Equations and Graphs |
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538 | (14) |
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9.3 The Complex Plane; DeMoivre's Theorem |
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552 | (6) |
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558 | (6) |
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564 | (3) |
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567 | (3) |
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570 | (25) |
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576 | (9) |
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585 | (4) |
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589 | (2) |
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591 | (4) |
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Chapter 10 Analytic Geometry |
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595 | (8) |
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603 | (9) |
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612 | (10) |
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10.5 Rotation of Axes; General Form of a Conic |
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622 | (6) |
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10.6 Polar Equations of Conies |
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628 | (4) |
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10.7 Plane Curves and Parametric Equations |
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632 | (27) |
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639 | (9) |
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648 | (5) |
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653 | (3) |
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656 | (3) |
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Chapter 11 Systems of Equations and Inequalities |
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11.1 Systems of Linear Equations: Substitution and Elimination |
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659 | (11) |
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11.2 Systems of Linear Equations: Matrices |
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670 | (14) |
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11.3 Systems of Linear Equations: Determinants |
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684 | (7) |
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691 | (11) |
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11.5 Partial Fraction Decomposition |
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702 | (8) |
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11.6 Systems of Nonlinear Equations |
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710 | (14) |
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11.7 Systems of Inequalities |
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724 | (8) |
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732 | (36) |
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738 | (15) |
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753 | (9) |
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762 | (4) |
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766 | (2) |
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Chapter 12 Sequences; Induction; the Binomial Theorem |
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768 | (6) |
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12.2 Arithmetic Sequences |
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774 | (3) |
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12.3 Geometric Sequences; Geometric Series |
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777 | (6) |
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12.4 Mathematical Induction |
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783 | (3) |
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12.5 The Binomial Theorem |
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786 | (16) |
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789 | (5) |
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794 | (3) |
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797 | (3) |
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800 | (2) |
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Chapter 13 Counting and Probability |
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802 | (1) |
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13.2 Permutations and Combinations |
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803 | (2) |
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805 | (12) |
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809 | (1) |
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810 | (2) |
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812 | (4) |
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816 | (1) |
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Chapter 14 A Preview of Calculus: The Limit, Derivative, and Integral of a Function |
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14.1 Finding Limits Using Tables and Graphs |
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817 | (3) |
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14.2 Algebra Techniques for Finding Limits |
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820 | (2) |
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14.3 One-sided Limits; Continuous Functions |
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822 | (4) |
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14.4 The Tangent Problem; The Derivative |
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826 | (5) |
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14.5 The Area Problem; The Integral |
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831 | (24) |
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839 | (7) |
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846 | (3) |
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849 | (6) |
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855 | (3) |
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858 | (2) |
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860 | (4) |
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864 | (1) |
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865 | (3) |
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868 | (8) |
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A.7 Complex Numbers; Quadratic Equations in the Complex Number System |
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876 | (4) |
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A.8 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs |
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880 | (4) |
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A.9 Interval Notation; Solving Inequalities |
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884 | (6) |
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A.10nth Roots; Rational Exponents |
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890 | (5) |
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Appendix B The Limit of a Sequence; Infinite Series |
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895 | |
