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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 | |