Graphs
- 1.1 Graphing Utilities; Introduction to Graphing Equations
- 1.2 The Distance and Midpoint Formulas
- 1.3 Intercepts; Symmetry; Graphing Key Equations
- 1.4 Solving Equations Using a Graphing Utility
- 1.5 Lines
- 1.6 Circles
- Chapter Review
- Chapter Test
- Chapter Project
Functions and Their Graphs
- 2.1 Functions
- 2.2 The Graph of a Function
- 2.3 Properties of Functions
- 2.4 Library of Functions; Piecewise-defined Functions
- 2.5 Graphing Techniques: Transformations
- 2.6 Mathematical Models: Building Functions
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Projects
Linear and Quadratic Functions
- 3.1 Properties of Linear Functions and Linear Models
- 3.2 Building Linear Models from Data
- 3.3 Quadratic Functions and Their Properties
- 3.4 Build Quadratic Models from Verbal Descriptions and From Data
- 3.5 Inequalities Involving Quadratic Functions
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Projects
Polynomial and Rational Functions
- 4.1 Polynomial Functions
- 4.2 The Graph of a Polynomial Function; Models
- 4.3 The Real Zeros of a Polynomial Function
- 4.4 Complex Zeros; Fundamental Theorem of Algebra
- 4.5 Properties of Rational Functions
- 4.6 The Graph of a Rational Function
- 4.7 Polynomial and Rational Inequalities
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Projects
Exponential and Logarithmic Functions
- 5.1 Composite Functions
- 5.2 One-to-One Functions; Inverse Functions
- 5.3 Exponential Functions
- 5.4 Logarithmic Functions
- 5.5 Properties of Logarithms
- 5.6 Logarithmic and Exponential Equations
- 5.7 Financial Models
- 5.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models
- 5.9 Building Exponential, Logarithmic, and Logistic Models from Data
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Projects
Trigonometric Functions
- 6.1 Angles, Arc Length, and Circular Motion
- 6.2 Trigonometric Functions: A Unit Circle Approach
- 6.3 Properties of the Trigonometric Functions
- 6.4 Graphs of the Sine and Cosine Functions
- 6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
- 6.6 Phase Shift; Sinusoidal Curve Fitting
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Projects
Analytic Trigonometry
- 7.1 The Inverse Sine, Cosine, and Tangent Functions
- 7.2 The Inverse Trigonometric Functions (Continued)
- 7.3 Trigonometric Equations
- 7.4 Trigonometric Identities
- 7.5 Sum and Difference Formulas
- 7.6 Double-angle and Half-angle Formulas
- 7.7 Product-to-Sum and Sum-to-Product Formulas
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Projects
Applications of Trigonometric Functions
- 8.1 Right Triangle Trigonometry; Applications
- 8.2 The Law of Sines
- 8.3 The Law of Cosines
- 8.4 Area of a Triangle
- 8.5 Simple Harmonic Motion; Damped Motion; Combining Waves
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Projects
Polar Coordinates; Vectors
- 9.1 Polar Coordinates
- 9.2 Polar Equations and Graphs
- 9.3 The Complex Plane; DeMoivre's Theorem
- 9.4 Vectors
- 9.5 The Dot Product
- 9.6 Vectors in Space
- 9.7 The Cross Product
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Projects
Analytic Geometry
- 10.1 Conics
- 10.2 The Parabola
- 10.3 The Ellipse
- 10.4 The Hyperbola
- 10.5 Rotation of Axes; General Form of a Conic
- 10.6 Polar Equations of Conics
- 10.7 Plane Curves and Parametric Equations
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Projects
Systems of Equations and Inequalities
- 11.1 Systems of Linear Equations: Substitution and Elimination
- 11.2 Systems of Linear Equations: Matrices
- 11.3 Systems of Linear Equations: Determinants
- 11.4 Matrix Algebra
- 11.5 Partial Fraction Decomposition
- 11.6 Systems of Nonlinear Equations
- 11.7 Systems of Inequalities
- 11.8 Linear Programming
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Projects
Sequences; Induction; The Binomial Theorem
- 12.1 Sequences
- 12.2 Arithmetic Sequences
- 12.3 Geometric Sequences; Geometric Series
- 12.4 The Limit of a Sequence; Infinite Series
- 12.5 Mathematical Induction
- 12.6 The Binomial Theorem
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Projects
Counting and Probability
- 13.1 Counting
- 13.2 Permutations and Combinations
- 13.3 Probability
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Projects
A Preview of Calculus: The Limit, Derivative, and Integral of a Function
- 14.1 Investigating Limits Using Tables and Graphs
- 14.2 Algebraic Techniques for Finding Limits
- 14.3 One-sided Limits; Continuity
- 14.4 The Tangent Problem; The Derivative
- 14.5 The Area Problem; The Integral
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Projects

Appendix A: Review
- A.1 Algebra Essentials
- A.2 Geometry Essentials
- A.3 Polynomials
- A.4 Synthetic Division
- A.5 Rational Expressions
- A.6 Solving Equations
- A.7 Complex Numbers; Quadratic Equations in the Complex Number System
- A.8 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications
- A.9 Interval Notation; Solving Inequalities
- A.10 nth Roots; Rational Exponents

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