Table of Contents
TABLE OF CONTENTS
Chapter 1 Graphs and Functions 1.1 The Distance and Midpoint Formulas
1.2 Graphs of Equations; Circles
1.3 Functions and Their Graph
1.4 Properties of Functions
1.5 Library of Functions; Piecewise-defined Functions
1.6 Graphing Techniques: Transformations
1.7 One-to-One Functions; Inverse Functions
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Chapter 2 Trigonometric Functions
2.1 Angles and Their Measure
2.2 Trigonometric Functions: Unit Circle Approach
2.3 Properties of the Trigonometric Functions
2.4 Graphs of the Sine and Cosine Functions
2.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
2.6 Phase Shift; Sinusoidal Curve Fitting
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Chapter 3 Analytic Trigonometry
3.1 The Inverse Sine, Cosine, and Tangent Functions
3.2 The Inverse Trigonometric Functions (continued)
3.3 Trigonometric Identities
3.4 Sum and Difference Formulas
3.5 Double-Angle and Half-Angle Formulas
3.6 Product-to-Sum and Sum-to-Product Formulas
3.7 Trigonometric Equations (I)
3.8 Trigonometric Equations (II)
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Chapter 4 Applications of Trigonometric Functions
4.1 Applications Involving Right Triangles
4.2 Law of Sines
4.3 Law of Cosines
4.4 Area of a Triangle
4.5 Simple Harmonic Motion; Damped Motion; Combining Waves
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Chapter 5 Polar Coordinates; Vectors
5.1 Polar Coordinates
5.2 Polar Equations and Graphs
5.3 The Complex Plane; DeMoivre’s Theorem
5.4 Vectors
5.5 The Dot Product
5.6 Vectors in Space
5.7 The Cross Product
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Chapter 6 Analytic Geometry
6.1 Conics
6.2 The Parabola
6.3 The Ellipse
6.4 The Hyperbola
6.5 Rotation of Axes; General Form of a Conic
6.6 Polar Equations of Conics
6.7 Plane Curves and Parametric Equations
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Chapter 7 Exponential and Logarithmic Functions
7.1 Exponential Functions
7.2Logarithmic Functions
7.3 Properties of Logarithms
7.4 Logarithmic and Exponential Equations
7.5 Compound Interest
7.6 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models
7.7 Building Exponential, Logarithmic, and Logistic Functions from Data
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Appendix A Review
A.1 Algebra Essentials
A.2 Geometry Essentials
A.3 Factoring Polynomials
A.4 Solving Equations
A.5 Complex Numbers; Quadratic Equations in the Complex Number System
A.6 Interval Notation; Solving Inequalities
A.7 nth Roots; Rational Exponents; Radical Equations
A.8 Lines
A.9 Building Linear Functions from Data
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