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| 1.1: Rectangular Coordinates |
| 1.2: Graphs of Equations |
| 1.3: Linear Equations in Two Variables |
| 1.4: Functions |
| 1.5: Analyzing Graphs of Functions |
| 1.6: A Library of Parent Functions |
| 1.7: Transformations of Functions |
| 1.8: Combinations of Functions: Composite Functions |
| 1.9: Inverse Functions |
| 1.10: Mathematical Modeling and Variation |
| 2.1: Quadratic Functions and Models |
| 2.2: Polynomial Functions of Higher Degree |
| 2.3: Polynomial and Synthetic Division |
| 2.4: Complex Numbers |
| 2.5: Zeros of Polynomial Functions |
| 2.6: Rational Functions |
| 2.7: Nonlinear Inequalities |
| 3.1: Exponential Functions and Their Graphs |
| 3.2: Logarithmic Functions and Their Graphs |
| 3.3: Properties of Logarithms |
| 3.4: Exponential and Logarithmic Equations |
| 3.5: Exponential and Logarithmic Models |
| 4.1: Radian and Degree Measure |
| 4.2: Trigonometric Functions: The Unit Circle |
| 4.3: Right Triangle Trigonometry |
| 4.4: Trigonometric Functions of Any Angle |
| 4.5: Graphs of Sine and Cosine Functions |
| 4.6: Graphs of Other Trigonometric Functions |
| 4.7: Inverse Trigonometric Functions |
| 4.8: Applications and Models |
| 5.1: Using Fundamental Identities |
| 5.2: Verifying Trigonometric Identities |
| 5.3: Solving Trigonometric Equations |
| 5.4: Sum and Difference Formulas |
| 5.5: Multiple-Angle and Product-to-Sum Formulas |
| 6.1: Law of Sines |
| 6.2: Law of Cosines |
| 6.3: Vectors in the Plane |
| 6.4: Vectors and Dot Products |
| 6.5: The Complex Plane |
| 6.6: Trigonometric Form of a Complex Number |
| 7.1: Linear and Nonlinear Systems of Equations |
| 7.2: Two-Variable Linear Systems |
| 7.3: Multivariable Linear Systems |
| 7.4: Partial Fractions |
| 7.5: Systems of Inequalities |
| 7.6: Linear Programming |
| 8.1: Matrices and Systems of Equations |
| 8.2: Operations with Matrices |
| 8.3: The Inverse of a Square Matrix |
| 8.4: The Determinant of a Square Matrix |
| 8.5: Applications of Matrices and Determinants |
| 9.1: Sequences and Series |
| 9.2: Arithmetic Sequences and Partial Sums |
| 9.3: Geometric Sequences and Series |
| 9.4: Mathematical Induction |
| 9.5: The Binomial Theorem |
| 9.6: Counting Principles |
| 9.7: Probability |
| 10.1: Lines |
| 10.2: Introduction to Conics: Parabolas |
| 10.3: Ellipses |
| 10.4: Hyperbolas |
| 10.5: Rotation of Conics |
| 10.6: Parametric Equations |
| 10.7: Polar Coordinates |
| 10.8: Graphs of Polar Equations |
| 10.9: Polar Equations of Conics |
| 11.1: The Three-Dimensional Coordinate System |
| 11.2: Vectors in Space |
| 11.3: The Cross Product of Two Vectors |
| 11.4: Lines and Planes in Space |
| 12.1: Introduction to Limits |
| 12.2: Techniques for Evaluating Limits |
| 12.3: The Tangent Line Problem |
| 12.4: Limits at Infinity and Limits of Sequences |
| 12.5: The Area Problem |
| 13.1: Representing Data |
| 13.2: Analyzing Data |
| 13.3: Modeling Data |