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| Review | |
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| Real Numbers | |
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| Algebra Essentials | |
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| Geometry Essentials | |
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| Polynomials | |
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| Factoring Polynomials | |
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| Synthetic Division | |
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| Rational Expressions | |
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| nth Roots; Rational Exponents | |
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| Equations and Inequalities | |
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| Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations | |
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| Solving Equations Using a Graphing Utility; Linear and Rational Equations | |
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| Quadratic Equations | |
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| Complex Numbers; Quadratic Equations in the Complex Number System | |
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| Radical Equations; Equations Quadratic in Form; Absolute Value Equations; Factorable Equations | |
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| Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs | |
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| Solving Inequalities | |
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| Graphs | |
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| Symmetry; Graphing Key Equations | |
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| Lines | |
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| Circles | |
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| Variation | |
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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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| Library of Functions; Piecewise-defined Functions | |
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| Graphing Techniques: Transformations | |
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| Mathematical Models: Building Functions | |
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| Linear and Quadratic Functions | |
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| Linear Functions, Their Properties, and Linear Models | |
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| Building Linear Models from Data; Direct Variation | |
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| Quadratic Functions and Their Properties | |
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| Building Quadratic Models from Verbal Descriptions and Data | |
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| Inequalities Involving Quadratic Functions | |
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| Polynomial and Rational Functions | |
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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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| 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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| 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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| 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; 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; 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; Damped Motion; Combining Waves | |
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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; De Moivre s Theorem | |
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| Vectors | |
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| The Dot Product | |
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| Analytic Geometry | |
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| Conics | |
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| The Parabola | |