### Table of Contents

Chapter 1: Equations and Inequalities

1. Linear Equations & Applications
2. Systems of Linear Equations & Applications
3. Linear Inequalities
4. Absolute Value in Equations and Inequalities
5. Complex Numbers
6. Quadratic Equations & Applications
7. Equations Reducible to Quadratic Form
8. Polynomial & Rational Inequalities

Chapter 2: Graphs & Functions

1. Basic Tools; Circles
2. Straight Lines
3. Functions
4. Graphing Functions
5. Combining Functions
6. Inverse Functions

Chapter 3: Polynomial & Rational Functions

1. Polynomial Functions and Graphs
2. Finding Rational Zeros of Polynomials
3. Approximating Real Zeros of Polynomials
4. Rational Functions
5. Partial Fractions

Chapter 4: Exponential & Logarithmic Functions

1. Exponential Functions
2. The Exponential Function With Base e
3. Logarithmic Functions
4. Common and Natural Logarithms
5. Exponential & Logarithmic Equations

Chapter 5: Trigonometric Functions

1. The Wrapping Function
2. Circular Functions
3. Angles and Their Measure
4. Trigonometric Functions
5. Solving Right Triangles
6. Graphing Basic Trigonometric Functions
7. Graphing y= k + A sin(Bx+C) and y= k + A cos(Bx + C)
8. Graphing More General Tangent, Cotangent, Secant and Cosecant Functions
9. Inverse Trigonometric Functions

Chapter 6: Trigonometric Identities and Conditional Equations

1. Basic Identities and Their Use
2. Sum, Difference, and Cofunction Identities
3. Double-Angle and Half-Angle Identities
4. Product-Sum and Sum-Product Identities
5. Trigonometric Equations

Chapter 7: Additional Topics in Trigonometry

1. Law of Sines
2. Law of Cosines
3. Geometric Vectors
4. Algebraic Vectors
5. Polar Coordinates and Graphs
6. Complex Numbers in Rectangular and Polar Forms
7. De Moivreís Theorem

Chapter 8: Systems of Equations & Inequalities

1. Systems of Linear Equations and Augmented Matrices
2. Gauss-Jordan Elimination
3. Systems Involving Second-Degree Equations
4. Systems of Linear Inequalities in Two Variables
5. Linear Programming

Chapter 9: Matrices and Determinants

1. Matrices: Basic Operations
2. Inverse of a Square Matrix
3. Matrix Equations and Systems of Linear Equations
4. Determinants
5. Properties of Determinants
6. Cramerís Rule

Chapter 10: Sequences & Series

1. Sequences and Series
2. Mathematical Induction
3. Arithmetic & Geometric Sequences
4. Binomial Formula
5. Multiplication Principle, Permutations, and Combinations

Chapter 11: Additional Topics in Analytic Geometry

1. Conic Sections; Parabola
2. Ellipse
3. Hyperbola
4. Translation of Axes
5. Parametric Equations

Appendix

A: Basic Algebraic Operations

A-1 Algebra & Real Numbers

A-2 Polynomials: Basic Operations

A-3 Polynomials: Factoring

A-4 Rational Expressions: Basic Operations

A-5 Integer Exponents

A-6 Rational Exponents

A-7 Radicals

Home Page

feedback form | permissions | international | locate your campus rep | request a review copy

digital solutions | publish with us | customer service | mhhe home

Copyright ©2001 The McGraw-Hill Companies.
Any use is subject to the Terms of Use and Privacy Policy.
McGraw-Hill Higher Education is one of the many fine businesses of the The McGraw-Hill Companies.