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| Graphs and Functions | |
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| The Distance and Midpoint Formulas | |
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| Graphs of Equations; Circles | |
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| Functions and Their Graph | |
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| Properties of Functions | |
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| Library of Functions; Piecewise-defined Functions | |
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| Graphing Techniques: Transformations | |
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| One-to-One Functions; Inverse Functions | |
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| Chapter Review | |
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| Chapter Test | |
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| Chapter Projects | |
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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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| Cumulative Review | |
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| Chapter Projects | |
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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 Equations | |
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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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| Chapter Review | |
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| Chapter Test | |
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| Cumulative Review | |
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| Chapter Projects | |
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| Applications of Trigonometric Functions | |
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| Right Triangle Trigonometry; Applications | |
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| Law of Sines | |
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| Law of Cosines | |
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| Area of a Triangle | |
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| Simple Harmonic Motion; Damped Motion; Combining Waves | |
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| Chapter Review | |
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| Chapter Test | |
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| Cumulative Review | |
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| Chapter Projects | |
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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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| The Complex Plane; DeMoivre's Theorem | |
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| Vectors | |
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| The Dot Product | |
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| Vectors in Space | |
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| The Cross Product | |
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| Chapter Review | |
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| Chapter Test | |
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| Cumulative Review | |
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| Chapter Projects | |
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| Analytic Geometry | |
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| Conics | |
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| The Parabola | |
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| The Ellipse | |
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| The Hyperbola | |
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| Rotation of Axes; General Form of a Conic | |
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| Polar Equations of Conics | |
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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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| Cumulative Review | |
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| Chapter Projects | |
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| Exponential and Logarithmic 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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| Financial Models | |
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| Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models | |
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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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| Cumulative Review | |
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| Chapter Projects | |
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| Review | |
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| Algebra Essentials | |
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| Geometry Essentials | |
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| Factoring Polynomials; Completing the Square | |
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| Solving Equations | |
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| Complex Numbers; Quadratic Equations in the Complex Number System | |
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| Interval Notation; Solving Inequalities | |
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| nth Roots; Rational Exponents; Radical Equations | |
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| Lines | |
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| Building Linear Models from Data | |
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| Graphing Utilities | |
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| The Viewing Rectangle | |
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| Using a Graphing Utility to Graph Equations | |
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| Using a Graphing Utility to Locate Intercepts and Check for Symmetry | |
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| Using a Graphing Utility to Solve Equations | |
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| Square Screens | |
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| Using a Graphing Utility to Graph a Polar Equation | |
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| Using a Graphing Utility to Graph Parametric | |