- Chapter 1: Fundamentals
- Section 1.1: Real Numbers
- Section 1.2: Exponents and Radicals
- Section 1.3: Algebraic Expressions
- Section 1.4: Rational Expressions
- Section 1.5: Equations
- Section 1.6: Complex Numbers
- Section 1.7: Modeling with Equations
- Section 1.8: Inequalities
- Section 1.9: The Coordinate Plane; Graphs of Equations; Circles
- Section 1.10: Lines
- Section 1.11: Solving Equations and Inequalities Graphically
- Section 1.12: Modeling Variation

- Chapter 2: Functions
- Section 2.1: Functions
- Section 2.2: Graphs of Functions
- Section 2.3: Getting Information from the Graph of a Function
- Section 2.4: Average Rate of Change of a Function
- Section 2.5: Linear Functions and Models
- Section 2.6: Transformations of Functions
- Section 2.7: Combining Functions
- Section 2.8: One-to-One Functions and Their Inverses

- Chapter 3: Polynomial and Rational Functions
- Section 3.1: Quadratic Functions and Models
- Section 3.2: Polynomial Functions and Their Graphs
- Section 3.3: Dividing Polynomials
- Section 3.4: Real Zeros of Polynomials
- Section 3.5: Complex Zeros and the Fundamental Theorem of Algebra
- Section 3.6: Rational Functions
- Section 3.7: Polynomial and Rational Inequalities

- Chapter 4: Exponential and Logarithmic Functions
- Section 4.1: Exponential Functions
- Section 4.2: The Natural Exponential Function
- Section 4.3: Logarithmic Functions
- Section 4.4: Laws of Logarithms
- Section 4.5: Exponential and Logarithmic Equations
- Section 4.6: Modeling with Exponential Functions
- Section 4.7: Logarithmic Scales

- Chapter 5: Trigonometric Functions: Unit Circle Approach
- Section 5.1: The Unit Circle
- Section 5.2: Trigonometric Functions of Real Numbers
- Section 5.3: Trigonometric Graphs
- Section 5.4: More Trigonometric Graphs
- Section 5.5: Inverse Trigonometric Functions and Their Graphs
- Section 5.6: Modeling Harmonic Motion

- Chapter 6: Trigonometric Functions: Right Triangle
Approach
- Section 6.1: Angle Measure
- Section 6.2: Trigonometry of Right Triangles
- Section 6.3: Trigonometric Functions of Angles
- Section 6.4: Inverse Trigonometric Functions and Right Triangles
- Section 6.5: The Law of Sines
- Section 6.6: The Law of Cosines

- Chapter 7: Analytic Trigonometry
- Section 7.1: Trigonometric Identities
- Section 7.2: Addition and Subtraction Formulas
- Section 7.3: Double-Angle, Half-Angle, and Product-Sum Formulas
- Section 7.4: Basic Trigonometric Equations
- Section 7.5: More Trigonometric Equations

- Chapter 8: Polar Coordinates and Parametric Equations
- Section 8.1: Polar Coordinates
- Section 8.2: Graphs of Polar Equations
- Section 8.3: Polar Form of Complex Numbers; De Moivre's Theorem
- Section 8.4: Plane Curves and Parametric Equations

- Chapter 9: Vectors in Two and Three Dimensions
- Section 9.1: Vectors in Two Dimensions
- Section 9.2: The Dot Product
- Section 9.3: Three-Dimensional Coordinate Geometry
- Section 9.4: Vectors in Three Dimensions
- Section 9.5: The Cross Product
- Section 9.6: Equations of Lines and Planes

- Chapter 10: Systems of Equations and Inequalities
- Section 10.1: Systems of Linear Equations in Two Variables
- Section 10.2: Systems of Linear Equations in Several Variables
- Section 10.3: Matrices and Systems of Linear Equations
- Section 10.4: The Algebra of Matrices
- Section 10.5: Inverses of Matrices and Matrix Equations
- Section 10.6: Determinants and Cramer's Rule
- Section 10.7: Partial Fractions
- Section 10.8: Systems of Nonlinear Equations
- Section 10.9: Systems of Inequalities

- Chapter 11: Conic Sections
- Section 11.1: Parabolas
- Section 11.2: Ellipses
- Section 11.3: Hyperbolas
- Section 11.4: Shifted Conics
- Section 11.5: Rotation of Axes
- Section 11.6: Polar Equations of Conics

- Chapter 12: Sequences and Series
- Section 12.1: Sequences and Summation Notation
- Section 12.2: Arithmetic Sequences
- Section 12.3: Geometric Sequences
- Section 12.4: Mathematics of Finance
- Section 12.5: Mathematical Induction
- Section 12.6: The Binomial Theorem

- Chapter 13: Limits: A Preview of Calculus
- Section 13.1: Finding Limits Numerically and Graphically
- Section 13.2: Finding Limits Algebraically
- Section 13.3: Tangent Lines and Derivatives
- Section 13.4: Limits at Infinity; Limits of Sequences
- Section 13.5: Areas

Exercises 1.1.1 - 1.2.6

Exercises 1.2.7 -