1. Graphs
   • The Distance and Midpoint Formulas
   • Graphs of Equations in Two Variables; Intercepts; Symmetry
   • Lines
   • Circles
   • Chapter 1 Review, Test, and Projects
2. 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
3. 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
4. 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
5. 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; Newtons Law; Logistic Growth and Decay Models
   • Building Exponential, Logarithmic, and Logistic Models from Data
   • Chapter 5 Review, Test, and Projects
6. 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
7. 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
8. 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
9. Polar Coordinates; Vectors
   • Polar Coordinates
   • Polar Equations and Graphs
   • The Complex Plane; De Moivres Theorem
   • Vectors
   • The Dot Product
   • Vectors in Space
   • The Cross Product
   • Chapter 9 Review, Test, and Projects
10. 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
11. 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
12. Sequences; Induction; the Binomial Theorem
    • Arithmetic Sequences
    • Geometric Sequences; Geometric Series
    • Mathematical Induction
    • The Binomial Theorem
    • Chapter 12 Review, Test, and Projects
13. Counting and Probability
    • Counting
    • Permutations and Combinations
    • Probability
    • Chapter 13 Review, Test, and Projects
14. 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

• 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

• 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