College Algebra (with CD-ROM, BCA/iLrn Tutorial, and InfoTrac)

by Gustafson, R. David; Frisk, Peter D.

• ISBN13: 9780534400682
• ISBN10: 053440068X
• Edition: 8th
• Format: Hardcover
• Copyright: 2003-06-30
• Publisher: Brooks Cole

Summary

Clearly written and comprehensive, the eighth edition of Gustafson's popular book provides in-depth and precise coverage, incorporated into a framework of tested teaching strategy. David Gustafson combines carefully selected pedagogical features and patient explanation to give students a book that preserves the integrity of mathematics, yet does not discourage them with material that is confusing or too rigorous. Long respected for its ability to help students quickly master difficult problems, this book also helps them develop the skills they'll need in future courses and in everyday life.

Table of Contents

Contents

0. A REVIEW OF BASIC ALGEBRA

Sets of Real Numbers

Integer Exponents and Scientific Notation

Rational Exponents and Radicals

Polynomials

Factoring Polynomials

Algebraic Fractions

1. EQUATIONS AND INEQUALITIES

Equations

Applications of Linear Equations

Quadratic Equations

Applications of Quadratic Equations

Complex Numbers

Polyomial and Radical Equations

Inequalities

Absolute Value

2. THE RECTANGULAR COORDINATE SYSTEM AND GRAPHS OF EQUATIONS

The Rectangular Coordinate System

The Slope of a Nonvertical Line

Writing Equations of Lines

Graphs of Equations

Proportion and Variation

3. FUNCTIONS

Functions and Function Notation

Quadratic Functions

Polynomial and Other Functions

Translating and Stretching Graphs

Rational Functions

Operations on Functions

Inverse Functions

4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS

Exponential Functions and Their Graphs

Applications of Exponential Functions

Logarithmic Functions and Their Graphs

Applications of Logarithmic Functions

Properties of Logarithms

Exponential and Logarithmic Equations

5. SOLVING POLYNOMIAL EQUATIONS

The Remainder and Factor Theorems; Synthetic Division

Descartes' Rule of Signs and Bounds on Roots

Rational Roots of Polynomial Equations

Irrational Roots of Polynomial Equations

6. LINEAR SYSTEMS

Systems of Linear Equations

Gaussian Eliminations and Matrix Methods

Matrix Algebra

Matrix Inversion

Determinants

Partial Fractions

Graphs of Linear Inequalities

Linear Programming

7. CONIC SECTIONS AND QUADRATIC SYSTEMS

The Circle and the Parabola

The Ellipse

The Hyperbola

Solving Simultaneous Second-Degree Equations

8. NATURAL NUMBER FUNCTIONS AND PROBABILITY

The Binomial Theorem

Sequences, Series, and Summation Notation

Arithmetic Sequences

Geometric Sequences

Mathematical Induction

Permutations and Combinations

Probability

Computation of Compound Probabilities

Odds and Mathematical Expectation

9. THE MATHEMATICS OF FINANCE

Compound Interest

Annuities and Future Value

Present Value of an Annuity; Amortization

Appendix 1: A Proof of the Binomial Theorem

Appendix 2: Tables

Table A

Powers and Roots

Table B

Base-10 Logarithms

Table C

Base-e Logarithms

Appendix 3: Answers to Selected Exercises

Index

Index of Applications