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| Functions and their Graphs | |
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| Rectangular Coordinates | |
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| 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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| Mathematical Modeling and Variation | |
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| Chapter Summary | |
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| Review Exercises | |
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| Chapter Test | |
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| Proofs in Mathematics | |
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| P.S. Problem Solving | |
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| Polynomial and Rational Functions | |
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| Quadratic Functions and Models | |
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| Polynomial Functions of Higher Degree | |
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| Polynomial and Synthetic Division | |
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| Complex Numbers | |
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| Zeros of Polynomial Functions | |
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| Rational Functions | |
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| Nonlinear Inequalities | |
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| Chapter Summary | |
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| Review Exercises | |
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| Chapter Test | |
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| Proofs in Mathematics | |
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| P.S. Problem Solving | |
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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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| Chapter Summary | |
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| Review Exercises | |
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| Chapter Test | |
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| Cumulative Test: Chapters 1-3 | |
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| Proofs in Mathematics | |
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| P.S. Problem Solving | |
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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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| Chapter Summary | |
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| Review Exercises | |
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| Chapter Test | |
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| Proofs in Mathematics | |
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| P.S. Problem Solving | |
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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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| Law of Sines | |
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| Law of Cosines | |
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| Chapter Summary | |
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| Review Exercises | |
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| Chapter Test | |
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| Proofs in Mathematics | |
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| P.S. Problem Solving | |
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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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| Parametric Equations | |
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| Polar Coordinates | |
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| Graphs of Polar Coordinates | |
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| Polar Equations of Conics | |
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| Chapter Summary | |
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| Review Exercises | |
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| Chapter Test | |
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| Cumulative Test: Chapters 4-6 | |
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| Proofs in Mathematics | |
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| P.S. Problem Solving | |
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| Review of Fundamental Concepts of Algebra (web) | |
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| Real Numbers and Their Properties | |
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| Exponents and Radicals | |
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| Polynomials and Factoring | |
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| Rational Expressions | |
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| Solving Equations | |
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| Solving Inequalities | |
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| Errors and the Algebra of Calculus | |
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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 | |