Calculus: For Business, Economics, Life Sciences, and Social Sciences,9780130797650

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Calculus: For Business, Economics, Life Sciences, and Social Sciences

by Barnett, Raymond A.; Ziegler, Michael R.; Byleen, Karl E.

ISBN13:

9780130797650

ISBN10:

0130797650

Format:

Hardcover

Pub. Date:

9/1/1998

Publisher(s):

Prentice Hall

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Summary

This best-selling Calculus for non-math and engineering majors in the two-year/four-year market is out in a new revision. This edition contains more real data applications and integration of optional graphing calculator providing students and instructors a strong foundation for the course. Full website featuring Excel projects/tutorials accompanies text.

Preface

PART ONE A LIBRARY OF ELEMENTARY FUNCTIONS

(126)

Chapter 1 A Beginning Library of Elementary Functions

(74)

1-1 Functions

(20)

1-2 Elementary Functions: Graphs and Transformations

(13)

1-3 Linear Functions and Straight Lines

(16)

1-4 Quadratic Functions

(15)

Important Terms and Symbols

(1)

Review Exercise

(4)

Group Activity 1: Introduction to Regression Analysis

(2)

Group Activity 2: Mathematical Modeling in Business

(3)

Chapter 2 Additional Elementary Functions

(50)

2-1 Polynomial and Rational Functions

(16)

2-2 Exponential Functions

(14)

2-3 Logarithmic Functions

107

(13)

Important Terms and Symbols

120

(1)

Review Exercise

120

(3)

Group Activity 1: Comparing the Growth of Exponential and Polynomial Functions, and Logarithmic and Root Functions

123

(1)

Group Activity 2: Comparing Regression Models

124

(3)

PART TWO CALCULUS

127

Chapter 3 The Derivative

129

(92)

3-1 Rate of Change and Slope

130

(13)

3-2 Limits

143

(17)

3-3 The Derivative

160

(13)

3-4 Derivatives of Constants, Power Forms, and Sums

173

(13)

3-5 Derivatives of Products and Quotients

186

(8)

3-6 Chain Rule: Power Form

194

(8)

3-7 Marginal Analysis in Business and Economics

202

(11)

Important Terms and Symbols

213

(1)

Summary of Rules of Differentiation

214

(1)

Review Exercise

214

(5)

Group Activity 1: Minimal Average Cost

219

(1)

Group Activity 2: Numerical Differentiation on a Graphing Utility

220

(1)

Chapter 4 Graphing and Optimization

221

(90)

4-1 Continuity and Graphs

222

(16)

4-2 First Derivative and Graphs

238

(17)

4-3 Second Derivative and Graphs

255

(16)

4-4 Curve Sketching Techniques: Unified and Extended

271

(16)

4-5 Optimization: Absolute Maxima and Minima

287

(16)

Important Terms and Symbols

303

(1)

Review Exercise

304

(4)

Group Activity 1: Maximizing Profit

308

(1)

Group Activity 2: Minimizing Construction Costs

308

(3)

Chapter 5 Additional Derivative Topics

311

(50)

5-1 The Constant Epsilon and Continuous Compound Interest

311

(8)

5-2 Derivatives of Logarithmic and Exponential Functions

319

(12)

5-3 Chain Rule: General Form

331

(12)

5-4 Implicit Differentiation

343

(7)

5-5 Related Rates

350

(6)

Important Terms and Symbols

356

(1)

Additional Rules of Differentiation

356

(1)

Review Exercise

357

(2)

Group Activity 1: Elasticity of Demand

359

(1)

Group Activity 2: Point of Diminishing Returns

360

(1)

Chapter 6 Integration

361

(84)

6-1 Antiderivatives and Indefinite Integrals

361

(15)

6-2 Integration by Substitution

376

(12)

6-3 Differential Equations-Growth and Decay

388

(12)

6-4 A Geometric-Numeric Introduction to the Definite Integral

400

(16)

6-5 Definite Integral as a Limit of a Sum: Fundamental Theorem of Calculus

416

(19)

Important Terms and Symbols

435

(1)

Integration Formulas and Properties

435

(1)

Review Exercise

435

(5)

Group Activity 1: Simpson's Rule

440

(3)

Group Activity 2: Bell-Shaped Curves

443

(2)

Chapter 7 Additional Integration Topics

445

(46)

7-1 Area between Curves

445

(12)

7-2 Applications in Business and Economics

457

(13)

7-3 Integration by Parts

470

(7)

7-4 Integration Using Tables

477

(8)

Important Terms and Symbols

485

(1)

Review Exercise

485

(2)

Group Activity 1: Analysis of Income Concentration from Raw Data

487

(2)

Group Activity 2: Grain Exchange

489

(2)

Chapter 8 Multivariable Calculus

491

(68)

8-1 Functions of Several Variables

491

(10)

8-2 Partial Derivatives

501

(10)

8-3 Maxima and Minima

511

(9)

8-4 Maxima and Minima Using Lagrange Multipliers

520

(10)

8-5 Method of Least Squares

530

(11)

8-6 Double Integrals Over Rectangular Regions

541

(11)

Important Terms and Symbols

552

(1)

Review Exercise

552

(3)

Group Activity 1: City Planning

555

(1)

Group Activity 2: Numerical Integration of Multivariable Functions

556

(3)

Chapter 9 Trigonometric Functions

559

(26)

9-1 Trigonometric Functions Review

560

(9)

9-2 Derivatives of Trigonometric Functions

569

(6)

9-3 Integration of Trigonometric Functions

575

(5)

Important Terms and Symbols

580

(1)

Review Exercise

581

(1)

Group Activity 1: Seasonal Business Cycles

582

(1)

Group Activity 2: Heating Degree Days

583

(2)

Appendix A Basic Algebra Review

585

(68)

Self-Test on Basic Algebra

585

(2)

A-1 Sets

587

(6)

A-2 Algebra and Real Numbers

593

(7)

A-3 Operations on Polynomials

600

(7)

A-4 Factoring Polynomials

607

(6)

A-5 Operations on Rational Expressions

613

(7)

A-6 Integer Exponents and Scientific Notation

620

(6)

A-7 Rational Exponents and Radicals

626

(7)

A-8 Linear Equations and Inequalities in One Variable

633

(10)

A-9 Quadratic Equations

643

(10)

Appendix B Special Topics

653

(18)

B-1 Sequences, Series, and Summation Notation

653

(6)

B-2 Arithmetic and Geometric Sequences

659

(8)

B-3 The Binomial Theorem

667

(4)

Appendix C Tables

671

Table I Basic Geometric Formulas

671

(2)

Table II Integration Formulas

673

Answers

A-1

Index

I-1

Library of Elementary Functions

Inside front cover

Applications Index

Inside back cover

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Calculus: For Business, Economics, Life Sciences, and Social Sciences

9780130797650

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