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| Graphs | |
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| Rectangular Coordinates; Graphing Utilities | |
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| Graphs of Equations | |
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| Solving Equations Using a Graphing Utility | |
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| Lines | |
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| Circles | |
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| Chapter Review | |
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| Chapter Test | |
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| Chapter Project | |
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| Functions and Their Graphs | |
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| Functions | |
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| The Graph of a Function | |
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| Properties of Functions | |
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| Linear Functions and Models | |
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| Library of Functions; Piecewise-Defined Functions | |
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| Graphing Techniques: Transformations | |
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| Mathematical Models: Constructing Functions | |
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| Chapter Review | |
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| Chapter Test | |
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| Chapter Project | |
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| Cumulative Review | |
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| Polynomial and Rational Functions | |
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| Quadratic Functions and Models | |
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| Polynomial Functions and Models | |
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| Properties of Rational Functions | |
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| The Graph of a Rational Function; Inverse and Joint Variation | |
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| Polynomial and Rational Inequalities | |
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| The Real Zeros of a Polynomial Function | |
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| Complex Zeros: Fundamental Theorem of Algebra | |
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| Chapter Review | |
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| Chapter Test | |
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| Chapter Project | |
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| Cumulative Review | |
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| Exponential and Logarithmic Functions | |
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| Composite Functions | |
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| One-to-One Functions; Inverse Functions | |
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| Exponential Functions | |
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| Logarithmic Functions | |
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| Properties of Logarithms | |
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| Logarithmic and Exponential Equations | |
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| Compound Interest | |
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| Exponential Growth and Decay; Newton's Law; Logistic Growth and Decay | |
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| Building Exponential, Logarithmic, and Logistic Models from Data | |
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| Chapter Review | |
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| Chapter Test | |
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| Chapter Project | |
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| Cumulative Review | |
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| Trigonometric Functions | |
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| Angles and Their Measure | |
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| Trigonometric Functions: Unit Circle Approach | |
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| Properties of the Trigonometric Functions | |
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| Graphs of the Sine and Cosine Functions | |
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| Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions | |
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| Phase Shift; Sinusoidal Curve Fitting | |
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| Chapter Review | |
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| Chapter Test | |
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| Chapter Project | |
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| Cumulative Review | |
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| Analytic Trigonometry | |
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| The Inverse Sine, Cosine, and Tangent Functions | |
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| The Inverse Trigonometric Functions (continued) | |
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| Trigonometric Identities | |
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| Sum and Difference Formulas | |
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| Double-Angle and Half-Angle Formulas | |
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| Product-to-Sum and Sum-to-Product Formulas | |
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| Trigonometric Equations I | |
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| Trigonometric Equations II | |
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| Chapter Review | |
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| Chapter Test | |
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| Chapter Project | |
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| Cumulative Review | |
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| Applications of Trigonometric Functions | |
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| Right Triangle Trigonometry; Solving Right Triangles | |
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| Law of Sines | |
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| Law of Cosines | |
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| Chapter Review | |
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| Chapter Test | |
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| Chapter Project | |
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| Cumulative Review | |
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| Polar Coordinates; Vectors | |
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| Polar Coordinates | |
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| Polar Equations and Graphs | |
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| Chapter Review | |
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| Chapter Test | |
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| Chapter Project | |
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| Cumulative Review | |
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| Analytic Geometry | |
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| Plane Curves and Parametric Equations | |
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| Chapter Review | |
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| Chapter Test | |
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| Chapter Project | |
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| Cumulative Review | |
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| Systems of Equations and Inequalities | |
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| Systems of Linear Equations: Substitution and Elimination | |
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| Systems of Inequalities | |
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| Chapter Review | |
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| Chapter Test | |
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| Chapter Project | |
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| Cumulative Review | |
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| Sequences; Induction; The Binomial Theorem | |
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| Sequences | |
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| Arithmetic Sequences | |
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| Geometric Sequences; Geometric Series | |
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| Chapter Test | |
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| Chapter Project | |
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| Cumulative Review | |
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| Appendix Review | |
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| Algebra Review | |
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| Geometry Review | |
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| Polynomials and Rational Expressions | |