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| Note: Each chapter concludes with a Chapter Summary, Review Exercises, a Chapter Test, Proofs in Mathematics, and P.S. Problem Solving | |
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| Prerequisites | |
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| Review of Real Numbers and Their Properties | |
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| Solving Equations | |
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| The Cartesian Plane and Graphs of Equations | |
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| Linear Equations in Two Variables | |
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| Functions | |
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| Analyzing Graphs of Functions | |
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| A Library of Functions | |
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| Transformations of Functions | |
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| Combinations of Functions: Composite Functions | |
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| Inverse Functions | |
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| Trigonometry | |
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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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| 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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| Exponential and Logarithmic Equations | |
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| Exponential and Logarithmic Models | |
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| Topics in Analytic Geometry | |
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| Lines | |
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| Introduction to Conics: Parabolas | |
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| Ellipses | |
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| Hyperbolas | |
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| Rotation of Conics | |
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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 Cumulative Test: Chapters 46 | |
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| Appendix | |
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| Concepts in Statistics (web) | |
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| Representing Data | |
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| Measures of Central Tendency and Dispersion | |
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| Least Squares Regression | |