# Precalculus,11th edition

• Michael Sullivan Chicago State University
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Prepare, practice, and review. Author Michael Sullivan's time-tested approach focuses you on the fundamental skills you need for your precalculus course: prepare for class, practice with homework, and review the concepts. Precalculus, 11th Edition prepares and supports you with access to help, where and when you require it. The hallmark Sullivan cycle of continuous preparation and retention, and the high-quality exercises that Sullivan texts are known for, provide the reinforcement you need. Practical features are offered throughout (such as “Preparing for This Section,” which  lists earlier concepts that will be useful in the section ahead with page references); all examples are written clearly and most conclude with a direction to Now Work, a related exercise that helps you to learn by doing; and much more.

1. Graphs
• 1.1 The Distance and Midpoint Formulas
• 1.2 Graphs of Equations in Two Variables; Intercepts; Symmetry
• 1.3 Lines
• 1.4 Circles
• Chapter 1 Review, Test, and Projects
2. 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 2 Review, Test, and Projects
• 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 3 Review, Test, and Projects
4. Polynomial and Rational Functions
• 4.1 Polynomial Functions
• 4.2 Graphing Polynomial Functions; Models
• 4.3 Properties of Rational Functions
• 4.4 The Graph of a Rational Function
• 4.5 Polynomial and Rational Inequalities
• 4.6 The Real Zeros of a Polynomial Function
• Chapter 4 Review, Test, and Projects
5. 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 5 Review, Test, and Projects
6. Trigonometric Functions
• 6.1 Angles, Arc, Length, and Circular Motion
• 6.2 Trigonometric Functions: 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 6 Review, Test, and Projects
7. 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 7 Review, Test, and Projects
8. 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 8 Review, Test, and Projects
9. Polar Coordinates; Vectors
• 9.1 Polar Coordinates
• 9.2 Polar Equations and Graphs
• 9.3 The Complex Plane; De Moivre’s Theorem
• 9.4 Vectors
• 9.5 The Dot Product
• 9.6 Vectors in Space
• 9.7 The Cross Product
• Chapter 9 Review, Test, and Projects
10. 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 10 Review, Test, and Projects
11. 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 11 Review, Test, and Projects
12. Sequences; Induction; the Binomial Theorem
• 12.1 Sequences
• 12.2 Arithmetic Sequences
• 12.3 Geometric Sequences; Geometric Series
• 12.4 Mathematical Induction
• 12.5 The Binomial Theorem
• Chapter 12 Review, Test, and Projects
13. Counting and Probability
• 13.1 Counting
• 13.2 Permutations and Combinations
• 13.3 Probability
• Chapter 13 Review, Test, and Projects
14. A Preview of Calculus: The Limit, Derivative, and Integral of a Function
• 14.1 Finding Limits Using Tables and Graphs
• 14.2 Algebra Techniques for Finding Limits
• 14.3 One-sided Limits; Continuous Functions
• 14.4 The Tangent Problem; The Derivative
• 14.5 The Area Problem; The Integral
• Chapter 14 Review, Test, and 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

### Appendix B: Graphing Utilities

• B.1 The Viewing Rectangle
• B.2 Using a Graphing Utility to Graph Equations
• B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
• B.4 Using a Graphing Utility to Solve Equations
• B.5 Square Screens
• B.6 Using a Graphing Utility to Graph Inequalities
• B.7 Using a Graphing Utility to Solve Systems of Linear Equations
• B.8 Using a Graphing Utility to Graph a Polar Equation
• B.9 Using a Graphing Utility to Graph Parametric Equations