# Calculus for business, economics, and the social and life sciences.

Material type: TextPublication details: Boston : McGraw-Hill, c2007.Edition: 9th edDescription: xxx, 758 p. col. ill. ; 26 cmISBN:- 9780071108218

- 515 22 H7113

Item type | Current library | Call number | Status | Date due | Barcode |
---|---|---|---|---|---|

Books | UE-Central Library | 515 H7113 (Browse shelf(Opens below)) | Available | T1971 |

Includes index.

Contents

Preface vi

c h a p t e r 1 functions, graphs, and limits

1 functions 2

2 the graph of a function 14

3 linear functions 26

4 functional models 41

5 limits 57

6 one-sided limits and continuity 71

Chapter summary 83

Important terms, symbols, and formulas 83

Checkup for chapter 1 83

Review problems 84

Explore! Update 89

Think about it 91

C h a p t e r 2 differentiation: basic concepts

1 the derivative 96

2 techniques of differentiation 110

3 product and quotient rules; higher-order derivatives 122

4 the chain rule 135

5 marginal analysis and approximations using increments 147

6 implicit differentiation and related rates 158

Chapter summary 170

Important terms, symbols, and formulas 170

Checkup for chapter 2 171

Review problems 172

Explore! Update 178

Think about it 180

C h a p t e r 3 additional applications of the derivative

1 increasing and decreasing functions; relative extrema 184

2 concavity and points of inflection 199

3 curve sketching 216

4 optimization 231

5 additional applied optimization 249

Chapter summary 266

Important terms, symbols, and formulas 266

Checkup for chapter 3 267

Review problems 268

Explore! Update 274

Think about it 277

C h a p t e r 4 exponential and logarithmic functions

1 exponential functions 282

2 logarithmic functions 297

3 differentiation of logarithmic and exponential functions 312

4 additional exponential models 326

Chapter summary 340

Important terms, symbols, and formulas 340

Checkup for chapter 4 342

Review problems 343

Explore! Update 349

Think about it 351

C h a p t e r 5 integration

1 antidifferentiation: the indefinite integral 356

2 integration by substitution 368

3 the definite integral and the fundamental theorem of calculus 380

4 applying definite integration: area between curves and average value 396

5 additional applications to business and economics 414

6 additional applications to the life and social sciences 426

Chapter summary 436

Important terms, symbols, and formulas 436

Checkup for chapter 5 437

Review problems 438

Explore! Update 442

Think about it 445

C h a p t e r 6 additional topics in integration

1 integration by parts; integral tables 450

2 introduction to differential equations 464

3 improper integrals; continuous probability 480

4 numerical integration 496

Chapter summary 508

Important terms, symbols, and formulas 508

Checkup for chapter 6 509

Review problems 510

Explore! Update 516

Think about it 519

C h a p t e r 7 calculus of several variables

1 functions of several variables 526

2 partial derivatives 540

3 optimizing functions of two variables 551

4 the method of least-squares 563

5 constrained optimization: the method of lagrange multipliers 575

6 double integrals over rectangular regions 589

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