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Mathematics With Applications: In the Management, Natural, and Social Sciences

by: Lial, Margaret L.; Hungerford, Thomas W.

Mathematics With Applications: In the Management, Natural, and Social Sciences

by: Lial, Margaret L.; Hungerford, Thomas W.

ISBN 13:
9780321022943
ISBN 10:
0321022947
Edition: 7th
Format: Hardcover
Copyright: 08/01/1998
Publisher: Pearson College Div
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Summary

Best known for realistic and varied applications, an abundance of helpful pedagogy, and solid algebra review, the new edition of this text offers updated and new applications, and increased optional graphing technology.

Preface

(4)

To the Student

CHAPTER 1 Fundamentals of Algebra

(52)

1.1 The Real Numbers

(10)

1.2 First-Degree Equations

(11)

1.3 Polynomials

(6)

1.4 Factoring

(5)

1.5 Rational Expressions

(6)

1.6 Exponents and Radicals

(8)

Chapter 1 Summary

(2)

Chapter 1 Review Exercises

(2)

Case 1 Consumers Often Defy Common Sense

(2)

CHAPTER 2 Graphs, Equations, and Inequalities

(63)

2.1 Graphs

(8)

2.2 Slope and the Equations of a Line

(13)

2.3 Applications of Linear Equations

(11)

2.4 Quadratic Equations

(10)

2.5 Linear Inequalities

(8)

2.6 Polynomial and Rational Inequalities

103

(6)

Chapter 2 Summary

109

(1)

Chapter 2 Review Exercises

110

(3)

Case 2 Depreciation

113

(3)

CHAPTER 3 Functions and Graphs

116

(33)

3.1 Functions

116

(8)

3.2 Graphs of Functions

124

(12)

3.3 Applications of Linear Functions

136

(10)

Chapter 3 Summary

146

(1)

Chapter 3 Review Exercises

146

(2)

Case 3 Marginal Cost-Booz, Allen and Hamilton

148

(1)

CHAPTER 4 Polynomial and Rational Functions

149

(36)

4.1 Quadratic Functions

149

(8)

4.2 Applications of Quadratic Functions

157

(7)

4.3 Polynomial Functions

164

(8)

4.4 Rational Functions

172

(9)

Chapter 4 Summary

181

(1)

Chapter 4 Review Exercises

181

(2)

Case 4 Error-Correcting Codes

183

(2)

CHAPTER 5 Exponential and Logarithmic Functions

185

(40)

5.1 Exponential Functions

185

(8)

5.2 Applications of Exponential Functions

193

(7)

5.3 Logarithmic Functions

200

(11)

5.4 Applications of Logarithmic Functions

211

(8)

Chapter 5 Summary

219

(1)

Chapter 5 Review Exercises

220

(3)

Case 5 Characteristics of the Monkeyface Prickleback

223

(2)

CHAPTER 6 Mathematics of Finance

225

(40)

6.1 Simple Interest and Discount

225

(6)

6.2 Compound Interest

231

(9)

6.3 Annuities

240

(10)

6.4 Present Value of an Annuity; Amortization

250

(6)

6.5 Applying Financial Formulas

256

(3)

Chapter 6 Summary

259

(1)

Chapter 6 Review Exercises

260

(3)

Case 6 Time, Money, and Polynomials

263

(2)

CHAPTER 7 Systems of Linear Equations and Matrices

265

(59)

7.1 Systems of Linear Equations

265

(14)

7.2 The Gauss-Jordan Method

279

(8)

7.3 Basic Matrix Operations

287

(8)

7.4 Matrix Products and Inverses

295

(12)

7.5 Applications of Matrices

307

(9)

Chapter 7 Summary

316

(2)

Chapter 7 Review Exercises

318

(3)

Case 7 Leontief's Model of the American Economy

321

(3)

CHAPTER 8 Linear Programming

324

(67)

8.1 Graphing Linear Inequalities in Two Variables

324

(8)

8.2 Linear Programming: The Graphical Method

332

(8)

8.3 Applications of Linear Programming

340

(7)

8.4 The Simplex Method: Maximization

347

(13)

8.5 Maximization Applications

360

(5)

8.6 The Simplex Method: Duality and Minimization

365

(9)

8.7 The Simplex Method: Nonstandard Problems

374

(11)

Chapter 8 Summary

385

(1)

Chapter 8 Review Exercises

386

(4)

Case 8 A Minimum Cost Balanced Organic Fertilizer Mix

390

(1)

CHAPTER 9 Sets and Probability

391

(60)

9.1 Sets

391

(9)

9.2 Applications of Venn Diagrams

400

(9)

9.3 Probability

409

(7)

9.4 Basic Concepts of Probability

416

(11)

9.5 Conditional Probability; Independent Events

427

(12)

9.6 Bayes' Formula

439

(7)

Chapter 9 Summary

446

(1)

Chapter 9 Review Exercises

447

(3)

Case 9 Medical Diagnosis

450

(1)

CHAPTER 10 Further Topics in Probability

451

(55)

10.1 Permutations and Combinations

451

(12)

10.2 Applications of Counting

463

(6)

10.3 Binomial Probability

469

(5)

10.4 Markov Chains

474

(10)

10.5 Probability Distributions; Expected Value

484

(12)

10.6 Decision Making

496

(4)

Chapter 10 Summary

500

(1)

Chapter 10 Review Exercises

501

(3)

Case 10 Optimal Inventory for a Service Truck

504

(2)

CHAPTER 11 Introduction to Statistics

506

(41)

11.1 Frequency Distributions; Measures of Central Tendency

506

(10)

11.2 Measures of Variation

516

(9)

11.3 Normal Distributions

525

(10)

11.4 Binomial Distributions

535

(7)

Chapter 11 Summary

542

(1)

Chapter 11 Review Exercises

543

(2)

Case 11 Statistical Process Control

545

(2)

CHAPTER 12 Differential Calculus

547

(86)

12.1 Limits

547

(11)

12.2 Rates of Change

558

(9)

12.3 Tangent Lines and Derivatives

567

(15)

12.4 Techniques for Finding Derivatives

582

(12)

12.5 Derivatives of Products and Quotients

594

(7)

12.6 The Chain Rule

601

(10)

12.7 Derivatives of Exponential and Logarithmic Functions

611

(7)

12.8 Continuity and Differentiability

618

(8)

Chapter 12 Summary

626

(2)

Chapter 12 Review Exercises

628

(3)

Case 12 Price Elasticity of Demand

631

(2)

CHAPTER 13 Applications of the Derivative

633

(52)

13.1 Derivatives and Graphs

633

(15)

13.2 The Second Derivative

648

(11)

13.3 Optimization Applications

659

(14)

13.4 Curve Sketching (Optional)

673

(8)

Chapter 13 Summary

681

(1)

Chapter 13 Review Exercises

682

(1)

Case 13 A Total Cost Model for a Training Program

683

(2)

CHAPTER 14 Integral Calculus

685

(62)

14.1 Antiderivatives

685

(9)

14.2 Integration by Substitution

694

(8)

14.3 Area and the Definite Integral

702

(9)

14.4 The Fundamental Theorem of Calculus

711

(11)

14.5 Applications of Integrals

722

(10)

14.6 Tables of Integrals (Optional)

732

(2)

14.7 Differential Equations

734

(8)

Chapter 14 Summary

742

(1)

Chapter 14 Review Exercises

743

(2)

Case 14 Estimating Depletion Dates for Minerals

745

(2)

CHAPTER 15 Multivariate Calculus

747

(28)

15.1 Functions of Several Variables

747

(9)

15.2 Partial Derivatives

756

(9)

15.3 Extrema of Functions of Several Variables

765

(7)

Chapter 15 Summary

772

(2)

Chapter 15 Review Exercises

774

(1)

Appendix A Graphing Calculators

775

(1)

Part 1: Introduction

775

(6)

Part 2: Program Appendix

781

(20)

Appendix B Tables

801

Answers to Selected Exercises

A-1

Index of Applications

I-1

Index

I-9

Amazon no longer offers textbook rentals. We do!

Mathematics With Applications: In the Management, Natural, and Social Sciences

Mathematics With Applications: In the Management, Natural, and Social Sciences

9780321022943

0321022947

Summary

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

Mathematics With Applications: In the Management, Natural, and Social Sciences

Mathematics With Applications: In the Management, Natural, and Social Sciences

9780321022943

0321022947

Summary

Table of Contents

Supplemental Materials

Write a Review

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