For courses in Precalculus.
Prepare. Practice. Review.
Michael Sullivan's time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing with homework, and reviewing the concepts. The 11th Edition continues to evolve to meet the needs of today's students.
This series prepares and supports students with access to help, where and when they require it. The hallmark Sullivan cycle of continuous preparation and retention-along with the high-quality exercises that Sullivan texts are known for-gives students the reinforcement they need.
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Graphs
The Distance and Midpoint Formulas
Graphs of Equations in Two Variables; Intercepts; Symmetry
Lines
Circles
Chapter 1 Review, Test, and Projects
Functions and Their Graphs
Functions
The Graph of a Function
Properties of Functions
Library of Functions; Piecewise-defined Functions
Graphing Techniques: Transformations
Mathematical Models: Building Functions
Chapter 2 Review, Test, and Projects
Linear and Quadratic Functions
Properties of Linear Functions and Linear Models
Building Linear Models from Data
Quadratic Functions and Their Properties
Build Quadratic Models from Verbal Descriptions and from Data
Inequalities Involving Quadratic Functions
Chapter 3 Review, Test, and Projects
Polynomial and Rational Functions
Polynomial Functions
Graphing Polynomial Functions; Models
Properties of Rational Functions
The Graph of a Rational Function
Polynomial and Rational Inequalities
The Real Zeros of a Polynomial Function
Chapter 4 Review, Test, and Projects
Exponential and Logarithmic Functions
Composite Functions
One-to-One Functions; Inverse Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Logarithmic and Exponential Equations
Financial Models
Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models
Building Exponential, Logarithmic, and Logistic Models from Data
Chapter 5 Review, Test, and Projects
Trigonometric Functions
Angles, Arc, Length, and Circular Motion
Trigonometric Functions: Unit Circle Approach
Properties of the Trigonometric Functions
Graphs of the Sine and Cosine Functions
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
Phase Shift; Sinusoidal Curve Fitting
Chapter 6 Review, Test, and Projects
Analytic Trigonometry
The Inverse Sine, Cosine, and Tangent Functions
The Inverse Trigonometric Functions (Continued)
Trigonometric Equations
Trigonometric Identities
Sum and Difference Formulas
Double-angle and Half-angle Formulas
Product-to-Sum and Sum-to-Product Formulas
Chapter 7 Review, Test, and Projects
Applications of Trigonometric Functions
Right Triangle Trigonometry; Applications
The Law of Sines
The Law of Cosines
Area of a Triangle
Simple Harmonic Motion; Damped Motion; Combining Waves
Chapter 8 Review, Test, and Projects
Polar Coordinates; Vectors
Polar Coordinates
Polar Equations and Graphs
The Complex Plane; De Moivre's Theorem
Vectors
The Dot Product
Vectors in Space
The Cross Product
Chapter 9 Review, Test, and Projects
Analytic Geometry
Conics
The Parabola
The Ellipse
The Hyperbola
Rotation of Axes; General Form of a Conic
Polar Equations of Conics
Plane Curves and Parametric Equations
Chapter 10 Review, Test, and Projects
Systems of Equations and Inequalities
Systems of Linear Equations: Substitution and Elimination
Systems of Linear Equations: Matrices
Systems of Linear Equations: Determinants
Matrix Algebra
Partial Fraction Decomposition
Systems of Nonlinear Equations
Systems of Inequalities
Linear Programming
Chapter 11 Review, Test, and Projects
Sequences; Induction; the Binomial Theorem
Arithmetic Sequences
Geometric Sequences; Geometric Series
Mathematical Induction
The Binomial Theorem
Chapter 12 Review, Test, and Projects
Counting and Probability
Counting
Permutations and Combinations
Probability
Chapter 13 Review, Test, and Projects
A Preview of Calculus: The Limit, Derivative, and Integral of a Function
Finding Limits Using Tables and Graphs
Algebra Techniques for Finding Limits
One-sided Limits; Continuous Functions
The Tangent Problem; The Derivative
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.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
Answers Credits Index
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