College Algebra

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

• ISBN13: 9780495558880
• ISBN10: 0495558885
• Edition: 10th
• Format: Hardcover
• Copyright: 2008-12-02
• Publisher: Cengage Learning

Summary

Clearly written and comprehensive, the tenth edition of Gustafson/Frisk/Hughes' popular book, COLLEGE ALGEBRA, 10E, provides in-depth and precise coverage, incorporated into a framework of tested teaching strategy. The authors combine 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 users quickly master difficult problems, this book also helps them develop the skills they'll need in future courses and in everyday life. This new edition has the mathematical precision instructors have come to expect, and by bringing in new co-author, Jeff Hughes, the authors have focused on making the text more modern to better illustrate to users the importance of math in their world.

Table of Contents

Index of Applications

Review of Basic Algebra

Sets of Real Numbers

Integer Exponents and Scientific Notation

Rational Exponents and Radicals

Polynomials

Factoring Polynomials

Algebraic Fractions

Equations and Inequalities

Equations

Applications of Linear Equations

Quadratic Equations

Applications of Quadratic Equations

Complex Numbers

Polynomial and Radical Equations

Inequalities

Absolute Value

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

Functions

Functions and Function Notation

Quadratic Functions

Polynomial and Other Functions

Translating and Stretching Graphs

Rational Functions

Operations on Functions

Inverse Functions

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

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

Linear Systems

Systems of Linear Equations

Gaussian Eliminations and Matrix Methods

Matrix Algebra

Matrix Inversion

Determinants

Partial Fractions

Graphs of Linear Inequalities

Linear Programming

Conic Sections and Quadratic Systems

The Circle and the Parabola

The Ellipse

The Hyperbola

Solving Simultaneous Second-Degree Equations

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

A Proof of the Binomial Theorem

An Alternate Approach to Circles and Parabolas

Tables

Powers and Roots

Base-10 Logarithms

Base-e Logarithms

Answers to Selected Exercises

Index

Table of Contents provided by Publisher. All Rights Reserved.