College Algebra

by Lial

Edition:

8th

ISBN13:

9780321056580

ISBN10:

0321056582

Format:

Hardcover

Pub. Date:

1/1/2001

Publisher(s):

Addison Wesley

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Summary

This book, intended for a graphing calculator optional college algebra course, offers students the content and tools they will need to successfully learn college algebra. The authors have addressed the needs of students who will continue their study of mathematics as well as those who are taking college algebra as their final mathematics course. Emphasis is placed on exploring mathematical concepts by using real data, current applications and optional technology.

Preface

vii

Algebraic Expressions

Real Numbers and Their Properties

(14)

Order and Absolute Value

(9)

Polynomials; The Binomial Theorem

(12)

Factoring Polynomials

(7)

Rational Expressions

(9)

Rational Exponents

(11)

Radical Expressions

(20)

Summary

(3)

Review Exercises

(3)

Test

(1)

Internet Project The NFL Quarterback Rating System

(2)

Equations and Inequalities

Linear Equations

(7)

Linear Applications and Modeling

(12)

Complex Numbers

103

(7)

Quadratic Equations

110

(10)

Quadratic Applications and Modeling

120

(9)

Other Types of Equations

129

(9)

Inequalities

138

(10)

Absolute Value Equations and Inequalities

148

(17)

Summary

155

(1)

Review Exercises

156

(4)

Test

160

(2)

Internet Project Protecting Our Environment

162

(3)

Relations, Functions, and Graphs

Relations and the Rectangular Coordinate System; Circles

165

(15)

Functions

180

(15)

Linear Functions

195

(13)

Equations of Lines; Curve Fitting

208

(12)

Graphs of Relations and Functions

220

(13)

General Graphing Techniques

233

(16)

Operations and Composition

249

(21)

Summary

258

(3)

Review Exercises

261

(4)

Test

265

(3)

Internet Project Modeling the Drift of Whittier, California

268

(2)

Polynomial and Rational Functions

Quadratic Functions; Curve Fitting

270

(14)

Synthetic Division

284

(7)

Zeros of Polynomial Functions

291

(11)

Polynomial Functions: Graphs, Applications, and Models

302

(14)

Rational Functions: Graphs, Applications, and Models

316

(14)

Variation

330

(16)

Summary

337

(1)

Review Exercises

338

(4)

Test

342

(2)

Internet Project Polynomial Modeling of Social Security Numbers

344

(2)

Exponential and Logarithmic Functions

Inverse Functions

346

(12)

Exponential Functions

358

(16)

Logarithmic Functions

374

(10)

Evaluating Logarithms and the Change-of-Base Theorem

384

(11)

Exponential and Logarithmic Equations

395

(10)

Applications and Models of Exponential Growth and Decay

405

(19)

Summary

415

(1)

Review Exercises

416

(4)

Test

420

(2)

Internet Project Modeling Growth of Internet Hosts

422

(2)

Systems of Equations and Inequalities

Linear Systems of Equations

424

(17)

Matrix Solution of Linear Systems

441

(10)

Determinant Solution of Linear Systems

451

(12)

Partial Fractions

463

(6)

Nonlinear Systems of Equations

469

(10)

Systems of Inequalities and Linear Programming

479

(11)

Properties of Matrices

490

(14)

Matrix Inverses

504

(23)

Summary

516

(2)

Review Exercises

518

(4)

Test

522

(1)

Internet Project A Topic from Numerical Analysis

523

(4)

Analytic Geometry

Parabolas

527

(9)

Ellipses

536

(11)

Hyperbolas

547

(10)

Summary of the Conic Sections

557

(15)

Summary

566

(1)

Review Exercises

566

(3)

Test

569

(1)

Internet Project Modeling the Path of a Bouncing Ball

570

(2)

Further Topics in Algebra

Sequences and Series

572

(10)

Arithmetic Sequences and Series

582

(8)

Geometric Sequences and Series

590

(9)

The Binomial Theorem Revisited

599

(7)

Mathematical Induction

606

(7)

Counting Theory

613

(10)

Basics of Probability

623

(16)

Summary

633

(2)

Review Exercises

635

(2)

Test

637

(1)

Internet Project Simulating Experiments Using Random Number Generators

638

(1)

Appendix Sets

639

Answers to Selected Exercises

(1)

Index

(8)

Index of Applications

College Algebra

9780321056580

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Table of Contents