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Graphs and Functions | |
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Rectangular Coordinates | |
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Introduction to Graphing Equations | |
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Intercepts | |
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Symmetry | |
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Graphing Key Equations | |
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Circles | |
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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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Library of Functions | |
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Piecewise-defined Functions | |
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Graphing Techniques: Transformations | |
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One-to-One Functions | |
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Inverse Functions | |
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Trigonometric Functions | |
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Angles and Their Measure | |
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Right Triangle Trigonometry | |
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Evaluating Trigonometric Functions of Acute Angles | |
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Evaluating Trigonometric Functions of General Angle | |
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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 | |
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Building Sinusoidal Models | |
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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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Applications of Trigonometric Functions | |
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Applications Involving Right Triangles | |
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The Law of Sines | |
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The Law of Cosines | |
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Area of a Triangle | |
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Simple Harmonic Motion | |
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Damped Motion | |
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Combining Waves | |
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Polar Coordinates | |
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Vectors | |
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Polar Coordinates | |
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Polar Equations and Graphs | |
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The Complex Plane | |
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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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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 | |
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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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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 | |
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Newton's Law | |
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Logistic Growth and Decay Models | |
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Building Exponential, Logarithmic, and Logistic Models from Data | |
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Review | |
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Algebra Essentials | |
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Geometry Essentials | |
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Factoring Polynomials | |
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Solving Equations Algebraically | |
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Solving Equations Using a Graphing Utility | |
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Complex Numbers | |
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Quadratic Equations in the Complex Number System | |
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Interval Notation | |
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Solving Inequalities | |
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n th Roots | |
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Rational Exponents | |
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Lines | |
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Building Linear Models from Data | |