Chapters 1-4

Chapters 5-9

Chapters 10-13

- Chapter 1: Prerequisites
- 1.1 Real Numbers: Algebra Essentials
- 1.2 Exponents and Scientific Notation
- 1.3 Radicals and Rational Exponents
- 1.4 Polynomials
- 1.5 Factoring Polynomials
- 1.6 Rational Expressions

- Chapter 2: Equations and Inequalities
- 2.1 The Rectangular Coordinate Systems and Graphs
- 2.2 Linear Equations in One Variable
- 2.3 Models and Applications
- 2.4 Complex Numbers
- 2.5 Quadratic Equations
- 2.6 Other Types of Equations
- 2.7 Linear Inequalities and Absolute Value Inequalities

- Chapter 3: Functions
- 3.1 Functions and Function Notation
- 3.2 Domain and Range
- 3.3 Rates of Change and Behavior of Graphs
- 3.4 Composition of Functions
- 3.5 Transformation of Functions
- 3.6 Absolute Value Functions
- 3.7 Inverse Functions

- Chapter 4: Linear Functions
- 4.1 Linear Functions
- 4.2 Modeling with Linear Functions
- 4.3 Fitting Linear Models to Data

- Chapter 5: Polynomial and Rational Functions
- 5.1 Quadratic Functions
- 5.2 Power Functions and Polynomial Functions
- 5.3 Graphs of Polynomial Functions
- 5.4 Dividing Polynomials
- 5.5 Zeros of Polynomial Functions
- 5.6 Rational Functions
- 5.7 Inverses and Radical Functions
- 5.8 Modeling Using Variation

- Chapter 6: Exponential and Logarithmic Functions
- 6.1 Exponential Functions
- 6.2 Graphs of Exponential Functions
- 6.3 Logarithmic Functions
- 6.4 Graphs of Logarithmic Functions
- 6.5 Logarithmic Properties
- 6.6 Exponential and Logarithmic Equations
- 6.7 Exponential and Logarithmic Models
- 6.8 Fitting Exponential Models to Data

- Chapter 7: The Unit Circle: Sine and Cosine Functions
- 7.1 Angles
- 7.2 Right Triangle Trigonometry
- 7.3 Unit Circle
- 7.4 The Other Trigonometric Functions

- Chapter 8: Periodic Functions
- 8.1 Graphs of the Sine and Cosine Functions
- 8.2 Graphs of the Other Trigonometric Functions
- 8.3 Inverse Trigonometric Functions

- Chapter 9: Trigonometric Identities and Equations
- 9.1 Verifying Trigonometric Identities
- 9.2 Sum and Difference Identities
- 9.3 Double-Angle, Half-Angle, and Reduction Formulas
- 9.4 Sum-to-Product and Product-to-Sum Formulas
- 9.5 Solving Trigonometric Equations

- Chapter 10: Further Applications of Trigonometry
- 10.1 Non-right Triangles: Law of Sines
- 10.2 Non-right Triangles: Law of Cosines
- 10.3 Polar Coordinates
- 10.4 Polar Coordinates: Graphs
- 10.5 Polar Form of Complex Numbers
- 10.6 Parametric Equations
- 10.7 Parametric Equations: Graphs
- 10.8 Vectors

- Chapter 11: Systems of Equations and Inequalities
- 11.1 Systems of Linear Equations: Two Variables
- 11.2 Systems of Linear Equations: Three Variables
- 11.3 Systems of Nonlinear Equations and Inequalities
- 11.4 Partial Fractions
- 11.5 Matrices and Matrix Operations
- 11.6 Solving Systems with Gaussian Elimination
- 11.7 Solving Systems with Inverses
- 11.8 Solving Systems with Cramer's Rule

- Chapter 12: Analytic Geometry
- 12.1 The Ellipse
- 12.2 The Hyperbola
- 12.3 The Parabola
- 12.4 Rotation of Axes
- 12.5 Conic Sections in Polar Coordinates

- Chapter 13: Sequences, Probability, and Counting Theory
- 13.1 Sequences and Their Notations
- 13.2 Arithmetic Sequences
- 13.3 Geometric Sequences
- 13.4 Series and Their Notations
- 13.5 Counting Principles
- 13.6 Binomial Theorem
- 13.7 Probability