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| Note: Each chapter includes a Chapter Summary, Review Exercises, and a Chapter Test | |
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| Prerequisites | |
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| Introduction to Library of Functions | |
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| Real Numbers | |
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| The Cartesian Plane and Graphs of Equations | |
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| Solving Equations Algebraically and Graphically | |
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| Lines in the Plane | |
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| Functions | |
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| Graphs of Functions | |
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| Shifting, Reflecting, and Stretching Graphs | |
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| Combinations of Functions | |
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| Inverse Functions | |
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| Trigonometric Functions | |
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| Radian and Degree Measure | |
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| Trigonometric Functions: The Unit Circle | |
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| Right Triangle Trigonometry | |
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| Trigonometric Functions of Any Angle | |
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| Graphs of Sine and Cosine Functions | |
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| Graphs of Other Trigonometric Functions | |
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| Inverse Trigonometric Functions | |
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| Applications and Models | |
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| Analytic Trigonometry | |
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| Using Fundamental Identities | |
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| Verifying Trigonometric Identities | |
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| Solving Trigonometric Equations | |
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| Sum and Difference Formulas | |
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| Multiple-Angle and Product-to-Sum Formulas | |
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| Additional Topics in Trigonometry | |
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| Law of Sines | |
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| Law of Cosines | |
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| Vectors in the Plane | |
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| Vectors and Dot Products Cumulative Test: Chapters 13 | |
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| Complex Numbers | |
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| Complex Numbers | |
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| Complex Solutions of Equations | |
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| Trigonometric Form of a Complex Number | |
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| DeMoivre's Theorem | |
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| Analytic Geometry: Conics | |
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| Introduction to Conics: Parabolas | |
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| Ellipses | |
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| Hyperbolas | |
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| Rotation and Systems of Quadratic Equations | |
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| Topics in Analytic Geometry | |
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| Parametric Equations | |
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| Polar Coordinates | |
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| Graphs of Polar Equations | |
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| Polar Equations of Conics | |
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| The Three-Dimensional Coordinate System | |
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| Vectors in Space | |
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| The Cross Product of Two Vectors | |
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| Exponential and Logarithmic Functions | |
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| Exponential Functions and Their Graphs | |
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| Logarithmic Functions and Their Graphs | |
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| Properties of Logarithms | |
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| Solving Exponential and Logarithmic Equations | |
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| Exponential and Logarithmic Models Cumulative Test: Chapters 47 | |
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| Appendices | |
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| Technology Support Guide | |
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| Proofs of Selected Theorems | |
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| Measures of Central Tendency and Dispersion | |
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| Solving Linear Equations and Inequalities | |
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| Exploring Data | |
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| Representing Data Graphically | |
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| Linear Models and Scatter Plots | |
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| Nonlinear Models | |