College Algebra

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

• ISBN13: 9780495110767
• ISBN10: 0495110760
• Edition: 9th
• Format: Hardcover
• Copyright: 2006-01-03
• Publisher: Brooks Cole

Summary

Practice the math skills you'll need for success in other college courses and in your daily life with COLLEGE ALGEBRA, the textbook that has helped hundreds of thousands of students excel in the algebra course. Over 400 worked examples include authors' notes, which explain the steps involved in the problem-solving process. Review Exercises, Chapter Summaries, and Chapter Tests help you assess your strengths and weaknesses and prepare for quizzes and exams. Chapter 9, "The Mathematics of Finance," is especially helpful for business majors, with its coverage of present value, sinking funds, simple and compound interest, and amortization. Icons in COLLEGE ALGEBRA guide you to CengageNOW, an effective online tool that diagnoses areas were you need extra help and provides you with a Personalized Study plan. Need more help? A live online tutor with a copy of your textbook is just a click away.

Table of Contents

Index of Applications

A 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

The Mathematics Of Finance

Interest

Annuities and Future Value

Present Value of an Annuity

Amortization

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

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