TABLE OF CONTENTS
Chapter R Review
R.1 Real Numbers
R.2 Algebra Essentials
R.3 Geometry Essentials
R.4 Polynomials
R.5 Factoring Polynomials
R.6 Synthetic Division
R.7 Rational Expressions
R.8 nth Roots; Rational Exponents
Chapter Review
Chapter Test
Chapter 1 Equations and Inequalities 1.1 Linear Equations
1.2 Quadratic Equations
1.3 Complex Numbers; Quadratic Equations in the Complex Number System
1.4 Radical Equations; Equations Quadratic in Form; Factorable Equations
1.5 Solving Inequalities
1.6 Equations and Inequalities Involving Absolute Value
1.7 Problem Solving: Interest, Mixture, Uniform Motion, and Constant Rate Jobs Applications
Chapter Review
Chapter Test
Chapter Projects
Chapter 2 Graphs 2.1 The Distance and Midpoint Formulas
2.2 Graphs of Equations; Intercepts; Symmetry
2.3 Lines
2.4 Circles
2.5 Variation
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Chapter 3 Functions and Their Graphs
3.1 Functions
3.2 The Graph of a Function
3.3 Properties of Functions
3.4 Library of Functions; Piecewise-defined Functions
3.5 Graphing Techniques: Transformations
3.6 Mathematical Models: Building Functions
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Chapter 4 Linear and Quadratic Functions
4.1 Linear Functions and Their Properties
4.2 Building Linear Functions from Data
4.3 Quadratic Functions and Their Properties
4.4 Quadratic Models; Building Quadratic Functions From Data
4.5 Inequalities Involving Quadratic Functions
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Chapter 5 Polynomial and Rational Functions
5.1 Polynomial Functions and Models
5.2 Properties of Rational Functions
5.3 The Graph of a Rational Function
5.4 Polynomial and Rational Inequalities
5.5 The Real Zeros of a Polynomial Function
5.6 Complex Zeros: Fundamental Theorem of Algebra
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Chapter 6 Exponential and Logarithmic Functions
6.1 Composite Functions
6.2 One-to-One Functions; Inverse Functions
6.3 Exponential Functions
6.4 Logarithmic Functions
6.5 Properties of Logarithms
6.6 Logarithmic and Exponential Equations
6.7 Compound Interest
6.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models
6.9 Building Exponential, Logarithmic, and Logistic Functions from Data
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Chapter 7 Trigonometric Functions
7.1 Angles and Their Measure
7.2 Right Triangle Trigonometry
7.3 Computing the Values of Trigonometric Functions of Acute Angles
7.4 Trigonometric Functions of General Angles
7.5 Unit Circle Approach: Properties of the Trigonometric Functions
7.6 Graphs of the Sine and Cosine Functions
7.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
7.8 Phase Shift; Building Sinusoidal Functions from Data
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Chapter 8 Analytic Trigonometry
8.1 The Inverse Sine, Cosine, and Tangent Functions
8.2 The Inverse Trigonometric Functions (continued)
8.3 Trigonometric Identities
8.4 Sum and Difference Formulas
8.5 Double-Angle and Half-Angle Formulas
8.6 Product-to-Sum and Sum-to-Product Formulas
8.7 Trigonometric Equations (I)
8.8 Trigonometric Equations (II)
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Chapter 9 Applications of Trigonometric Functions
9.1 Applications Involving Right Triangles
9.2 Law of Sines
9.3 Law of Cosines
9.4 Area of a Triangle
9.5 Simple Harmonic Motion; Damped Motion; Combining Waves
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Chapter 10 Polar Coordinates; Vectors
10.1 Polar Coordinates
10.2 Polar Equations and Graphs
10.3 The Complex Plane; DeMoivre's Theorem
10.4 Vectors
10.5 The Dot Product
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Chapter 11 Analytic Geometry
11.1 Conics
11.2 The Parabola
11.3 The Ellipse
11.4 The Hyperbola
11.5 Rotation of Axes; General Form of a Conic
11.6 Polar Equations of Conics
11.7 Plane Curves and Parametric Equations
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Chapter 12 Systems of Equations and Inequalities
12.1 Systems of Linear Equations: Substitution and Elimination
12.2 Systems of Linear Equations: Matrices
12.3 Systems of Linear Equations: Determinants
12.4 Matrix Algebra
12.5 Partial Fraction Decomposition
12.6 Systems of Nonlinear Equations
12.7 Systems of Inequalities
12.8 Linear Programming
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Chapter 13 Sequences; Induction; The Binomial Theorem
13.1 Sequences
13.2 Arithmetic Sequences
13.3 Geometric Sequences; Geometric Series
13.4 Mathematical Induction
13.5 The Binomial Theorem
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Chapter 14 Counting and Probability
14.1 Sets and Counting
14.2 Permutations and Combinations
14.3 Probability
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Appendix Graphing Utilities
1 The Viewing Rectangle
2 Graphing Equations in Two Variables
3 Locating Intercepts and Checking for Symmetry
4 Solving Equations Using a Graphing Utility
5 Square Screens
6 Graphing Inequalities in Two Variables
7 Solving Systems of Linear Equations
8 Graphing a Polar Equation
9 Graphing Parametric Equations
