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Mathematics with Applications

by: Lial, Margaret; Hungerford, Thomas W.; Holcomb, John

Mathematics with Applications

by: Lial, Margaret; Hungerford, Thomas W.; Holcomb, John

ISBN 13:
9780321334336
ISBN 10:
0321334337
Edition: 9th
Format: Hardcover
Copyright: 01/01/2007
Publisher: Addison Wesley
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Summary

This edition ofMathematics with Applicationscontinues to be an excellent learning tool for applied mathematics students. As always, the text includes the popular margin exercises as well as comprehensive review of algebraic topics, but with this revision comes the fresh insight of a new co-author. Also, at our customers'request, this textbook has additional calculus content, allowing the book to be all that you need and more.

Preface

To the Student

xix

Algebra and Equations

(70)

The Real Numbers

(10)

Polynomials

(7)

Factoring

(7)

Rational Expressions

(6)

Exponents and Radicals

(13)

First-Degree Equations

(11)

Quadratic Equations

(13)

Chapter 1 Summary

(1)

Chapter 1 Review Exercises

(3)

Case 1 Consumers Often Defy Common Sense

(2)

Graphs, Lines, and Inequalities

(58)

Graphs

(11)

Equations of Lines

(13)

Linear Models

(11)

Linear Inequalities

107

(8)

Polynomial and Rational Inequalities

115

(11)

Chapter 2 Summary

122

(1)

Chapter 2 Review Exercises

123

(3)

Case 2 Using Extrapolation to Predict Life Expectancy

126

(3)

Functions and Graphs

129

(75)

Functions

130

(9)

Graphs of Functions

139

(12)

Applications of Linear Functions

151

(12)

Quadratic Functions

163

(8)

Applications of Quadratic Functions

171

(8)

Polynomial Functions

179

(9)

Rational Functions

188

(15)

Chapter 3 Summary

198

(1)

Chapter 3 Review Exercises

199

(4)

Case 3 Architectural Arches

203

(1)

Exponential and Logarithmic Functions

204

(45)

Exponential Functions

205

(10)

Applications of Exponential Functions

215

(7)

Logarithmic Functions

222

(10)

Logarithmic and Exponential Equations

232

(15)

Chapter 4 Summary

242

(1)

Chapter 4 Review Exercises

243

(4)

Case 4 Characteristics of the Monkeyface Prickleback

247

(2)

Mathematics of Finance

249

(46)

Simple Interest and Discount

250

(6)

Compound Interest

256

(12)

Future Value of an Annuity and Sinking Funds

268

(10)

Present Value of an Annuity and Amortization

278

(15)

Chapter 5 Summary

287

(2)

Chapter 5 Review Exercises

289

(4)

Case 5 Time, Money, and Polynomials

293

(2)

Systems of Linear Equations and Matrices

295

(72)

Systems of Linear Equations

296

(18)

The Gauss-Jordan Method

314

(11)

Basic Matrix Operations

325

(8)

Matrix Products and Inverses

333

(14)

Applications of Matrices

347

(18)

Chapter 6 Summary

360

(1)

Chapter 6 Review Exercises

361

(4)

Case 6 Matrix Operations and Airline Route Maps

365

(2)

Linear Programming

367

(74)

Graphing Linear Inequalities in Two Variables

368

(8)

Linear Programming: The Graphical Method

376

(8)

Applications of Linear Programming

384

(7)

The Simplex Method: Maximization

391

(14)

Maximization Applications

405

(6)

The Simplex Method: Duality and Minimization

411

(11)

The Simplex Method: Nonstandard Problems

422

(17)

Chapter 7 Summary

435

(1)

Chapter 7 Review Exercises

436

(3)

Case 7 Cooking with Linear Programming

439

(2)

Sets and Probability

441

(68)

Sets

442

(9)

Applications of Venn Diagrams

451

(10)

Introduction to Probability

461

(8)

Basic Concepts of Probability

469

(11)

Conditional Probability and Independent Events

480

(14)

Bayes' Formula

494

(13)

Chapter 8 Summary

501

(1)

Chapter 8 Review Exercises

502

(5)

Case 8 Medical Diagnosis

507

(2)

Counting, Probability Distributions, and Further Topics in Probability

509

(62)

Probability Distributions and Expected Value

510

(11)

The Multiplication Principle, Permutations, and Combinations

521

(14)

Applications of Counting

535

(6)

Binomial Probability

541

(7)

Markov Chains

548

(13)

Decision Making

561

(8)

Chapter 9 Summary

565

(1)

Chapter 9 Review Exercises

566

(3)

Case 9 Optimal Inventory for a Service Truck

569

(2)

Introduction to Statistics

571

(52)

Frequency Distributions and Measures of Central Tendency

572

(14)

Measures of Variation

586

(10)

Normal Distributions

596

(14)

Normal Approximation to the Binomial Distribution

610

(10)

Chapter 10 Summary

617

(1)

Chapter 10 Review Exercises

618

(2)

Case 10 Statistics in the Law---The Castaneda Decision

620

(3)

Differential Calculus

623

(294)

Limits

624

(12)

One-sided Limits and Limits Involving Infinity

636

(11)

Rates of Change

647

(13)

Tangent Lines and Derivatives

660

(257)

Appendix A Graphing Calculators

917

(2)

Appendix B Tables

919

Table 1: Formulas from Geometry

919

(1)

Table 2: Areas under the Normal Curve

920

(2)

Table 3: Integrals

922

Answers to Selected Exercises

(1)

Index of Applications

(8)

Index

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Mathematics with Applications

Mathematics with Applications

9780321334336

0321334337

Summary

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

Mathematics with Applications

Mathematics with Applications

9780321334336

0321334337

Summary

Table of Contents

Supplemental Materials

Write a Review

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