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College Algebra (with CD-ROM, Make the Grade, and InfoTrac)

, by Cohen, David

College Algebra (with CD-ROM, Make the Grade, and InfoTrac) by Cohen, David, 9780534357719

Note: Supplemental materials are not guaranteed with Rental or Used book purchases.

ISBN: 9780534357719 | 0534357717
Cover: Hardcover
Copyright: 10/17/2002

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Summary

Table of Contents

Supplemental Materials

With its early and integrated attention to graphing and visualization, this nationally acclaimed book presents the elements of college algebra clearly and understandably. Praised for a writing style that is both engaging and mathematically accurate, best-selling author David Cohen has included many examples and exercises involving applications and real-life data. Book jacket.

Fundamentals

1

(84)

Sets of Real Numbers

1

(5)

Absolute Value

6

(5)

Solving Equations (Review and Preview)

11

(10)

Rectangular Coordinates. Visualizing Data

21

(14)

Graphs and Graphing Utilities

35

(13)

Equations of Lines

48

(15)

Symmetry and Graphs. Circles

63

(22)

Equations and Inequalities

85

(71)

Quadratic Equations: Theory and Examples

85

(11)

Other Types of Equations

96

(13)

Applied Problems (A Warm-up)

109

(13)

Applications

122

(8)

Inequalities

130

(10)

More on Inequalities

140

(16)

Functions

156

(95)

The Definition of a Function

156

(16)

The Graph of a Function

172

(14)

Shapes of Graphs. Average Rate of Change

186

(12)

Techniques in Graphing

198

(11)

Methods of Combining Functions. Iteration

209

(12)

Inverse Functions

221

(13)

Variation

234

(17)

Polynomial and Rational Functions. Applications to Optimization

251

(112)

Linear Functions

251

(16)

Quadratic Functions

267

(17)

Using Iteration to Model Population Growth (Optional Section)

284

(14)

Setting Up Equations That Define Functions

298

(12)

Maximum and Minimum Problems

310

(15)

Polynomial Functions

325

(17)

Rational Functions

342

(21)

Exponential and Logarithmic Functions

363

(100)

Exponential Functions

365

(9)

The Exponential Function y=ex

374

(11)

Logarithmic Functions

385

(14)

Properties of Logarithms

399

(10)

Equations and Inequalities with Logs and Exponents

409

(11)

Compound Interest

420

(13)

Exponential Growth and Decay

433

(30)

Systems of Equations

463

(97)

Systems of Two Linear Equations in Two Unknowns

463

(14)

Gaussian Elimination

477

(14)

Matrices

491

(14)

The Inverse of a Square Matrix

505

(13)

Determinants and Cramer's Rule

518

(13)

Nonlinear Systems of Equations

531

(8)

Systems of Inequalities. Linear Programming

539

(21)

Roots of Polynomial Equations

560

(75)

The Complex Number System

561

(7)

Division of Polynomials

568

(8)

The Remainder Theorem and the Factor Theorem

576

(9)

The Fundamental Theorem of Algebra

585

(11)

Rational and Irrational Roots

596

(8)

Conjugate Roots and Descartes's Rule of Signs

604

(6)

Introduction to Partial Fractions

610

(8)

More about Partial Fractions

618

(17)

The Conic Sections

635

(58)

The Parabola

636

(14)

Tangents to Parabolas (Optional Section)

650

(3)

The Ellipse

653

(14)

The Hyperbola

667

(12)

The Focus-Directrix Property of Conics

679

(14)

Additional Topics in Algebra

693

Mathematical Induction

693

The Binomial Theorem

700

Introduction to Sequences and Series

709

Arithmetic Sequences and Series

720

Geometric Sequences and Series

726

Permutations and Combinations

731

Introduction to Probability

741

A Appendix

A.1 Significant Digits

A-1

A.2 Properties of Real Numbers

A-4

A.3 √2 Is Irrational

A-7

B Appendix

B.1 Review of Integer Exponents

A-8

B.2 Review of nth Roots

A-14

B.3 Review of Rational Exponents

A-21

B.4 Review of Factoring

A-25

B.5 Review of Fractional Expressions

A-31

Answers

A-37

Index

I-1

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