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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 | |