- Chapter 1: Functions and Their Graphs
- Section 1.1: Rectangular Coordinates
- Section 1.2: Graphs of Equations
- Section 1.3: Linear Equations in Two Variables
- Section 1.4: Functions
- Section 1.5: Analyzing Graphs of Functions
- Section 1.6: A Library of Parent Functions
- Section 1.7: Transformations of Functions
- Section 1.8: Combinations of Functions: Composite Functions
- Section 1.9: Inverse Functions
- Section 1.10: Mathematical Modeling and Variation

- Chapter 2: Polynomial and Rational Functions
- Section 2.1: Quadratic Functions and Models
- Section 2.2: Polynomial Functions of Higher Degree
- Section 2.3: Polynomial and Synthetic Division
- Section 2.4: Complex Numbers
- Section 2.5: Zeros of Polynomial Functions
- Section 2.6: Rational Functions
- Section 2.7: Nonlinear Inequalities

- Chapter 3: Exponential and Logarithmic Functions
- Section 3.1: Exponential Functions and Their Graphs
- Section 3.2: Logarithmic Functions and Their Graphs
- Section 3.3: Properties of Logarithms
- Section 3.4: Exponential and Logarithmic Equations
- Section 3.5: Exponential and Logarithmic Models

- Chapter 4: Trigonometry
- Section 4.1: Radian and Degree Measure
- Section 4.2: Trigonometric Functions: The Unit Circle
- Section 4.3: Right Triangle Trigonometry
- Section 4.4: Trigonometric Functions of Any Angle
- Section 4.5: Graphs of Sine and Cosine Functions
- Section 4.6: Graphs of Other Trigonometric Functions
- Section 4.7: Inverse Trigonometric Functions
- Section 4.8: Applications and Models

- Chapter 5: Analytic Trigonometry
- Section 5.1: Using Fundamental Identities
- Section 5.2: Verifying Trigonometric Identities
- Section 5.3: Solving Trigonometric Equations
- Section 5.4: Sum and Difference Formulas
- Section 5.5: Multiple-Angle and Product-to-Sum Formulas

- Chapter 6: Additional Topics in Trigonometry
- Section 6.1: Law of Sines
- Section 6.2: Law of Cosines
- Section 6.3: Vectors in the Plane
- Section 6.4: Vectors and Dot Products
- Section 6.5: The Complex Plane
- Section 6.6: Trigonometric Form of a Complex Number

- Chapter 7: Systems of Equations and Inequalities
- Section 7.1: Linear and Nonlinear Systems of Equations
- Section 7.2: Two-Variable Linear Systems
- Section 7.3: Multivariable Linear Systems
- Section 7.4: Partial Fractions
- Section 7.5: Systems of Inequalities
- Section 7.6: Linear Programming

- Chapter 8: Matrices and Determinants
- Section 8.1: Matrices and Systems of Equations
- Section 8.2: Operations with Matrices
- Section 8.3: The Inverse of a Square Matrix
- Section 8.4: The Determinant of a Square Matrix
- Section 8.5: Applications of Matrices and Determinants

- Chapter 9: Sequences, Series, and Probability
- Section 9.1: Sequences and Series
- Section 9.2: Arithmetic Sequences and Partial Sums
- Section 9.3: Geometric Sequences and Series
- Section 9.4: Mathematical Induction
- Section 9.5: The Binomial Theorem
- Section 9.6: Counting Principles
- Section 9.7: Probability

- Chapter 10: Topics in Analytic Geometry
- Section 10.1: Lines
- Section 10.2: Introduction to Conics: Parabolas
- Section 10.3: Ellipses
- Section 10.4: Hyperbolas
- Section 10.5: Rotation of Conics
- Section 10.6: Parametric Equations
- Section 10.7: Polar Coordinates
- Section 10.8: Graphs of Polar Equations
- Section 10.9: Polar Equations of Conics

Exercises 1.1.1 -