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Applied Calculus for the Managerial, Life, and Social Sciences (with InfoTrac)

by: Tan, Soo T.

Applied Calculus for the Managerial, Life, and Social Sciences (with InfoTrac)

by: Tan, Soo T.

ISBN 13:
9780534465032
ISBN 10:
053446503X
Edition: 6th
Format: Hardcover
Copyright: 03/05/2004
Publisher: Brooks Cole
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Summary

In APPLIED CALCULUS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, Soo T. Tan provides an accessible yet accurate presentation of mathematics combined with just the right balance of applications, pedagogy, and technology to help students succeed in the course. The new Sixth Edition includes highly interesting current applications and exercises to help stimulate student motivation. An exciting new array of supplements provides students with extensive learning support so instructors will have more time to focus on teaching core concepts.

Preface

CHAPTER 1 Preliminaries

(47)

1.1 Precalculus Review I

(9)

1.2 Precalculus Review II

(12)

1.3 The Cartesian Coordinate System

(8)

1.4 Straight Lines

(15)

Chapter 1 Summary of Principal Formulas and Terms

(1)

Chapter 1 Review Exercises

(2)

CHAPTER 2 Functions, Limits, and the Derivative

(111)

2.1 Functions and Their Graphs

(19)

Using Technology: Graphing a Function

(5)

2.2 The Algebra of Functions

(5)

PORTFOLIO: Michael Marchlik

(86)

2.3 Functions and Mathematical Models

(19)

Using Technology: Finding the Points of Intersection of Two Graphs and Modeling

(5)

2.4 Limits

(21)

Using Technology: Finding the Limit of a Function

114

(4)

2.5 One-Sided Limits and Continuity

118

(18)

Using Technology: Finding the Points of Discontinuity of a Function

132

(4)

2.6 The Derivative

136

(25)

Using Technology: Graphing a Function and Its Tangent Line

152

(5)

Chapter 2 Summary of Principal Formulas and Terms

157

(1)

Chapter 2 Review Exercises

158

(2)

CHAPTER 3 Differentiation

160

(90)

3.1 Basic Rules of Differentiation

161

(14)

Using Technology: Finding the Rate of Change of a Function

170

(5)

3.2 The Product and Quotient Rules

175

(13)

Using Technology: The Product and Quotient Rules

184

(4)

3.3 The Chain Rule

188

(13)

Using Technology: Finding the Derivative of a Composite Function

196

(5)

3.4 Marginal Functions in Economics

201

(14)

3.5 Higher-Order Derivatives

215

(9)

Using Technology: Finding the Second Derivative of a Function at a Given Point

222

(2)

3.6 Implicit Differentiation and Related Rates

224

(10)

3.7 Differentials

234

(2)

PORTFOLIO: John Decker

236

(96)

Using Technology: Finding the Differential of a Function

242

(4)

Chapter 3 Summary of Principal Formula and Terms

246

(1)

Chapter 3 Review Exercises

247

(3)

CHAPTER 4 Applications of the Derivative

250

(82)

4.1 Applications of the First Derivative

251

(20)

Using Technology: Using the First Derivative to Analyze a Function

266

(5)

4.2 Applications of the Second Derivative

271

(17)

Using Technology: Finding the Inflection Points of a Function

284

(4)

4.3 Curve Sketching

288

(15)

Using Technology: Analyzing the Properties of a Function

300

(3)

4.4 Optimization I

303

(15)

Using Technology: Finding the Absolute Extrema of a Function

314

(4)

4.5 Optimization II

318

(11)

Chapter 4 Summary of Principal Terms

329

(1)

Chapter 4 Review Exercises

330

(2)

CHAPTER 5 Exponential and Logarithmic Functions

332

(65)

5.1 Exponential Functions

333

(8)

Using Technology

338

(3)

5.2 Logarithmic Functions

341

(8)

5.3 Compound Interest

349

(12)

PORTFOLIO: Misato Nakazaki

361

(132)

5.4 Differentiation of Exponential Functions

363

(11)

Using Technology

370

(4)

5.5 Differentiation of Logarithmic Functions

374

(7)

5.6 Exponential Functions as Mathematical Models

381

(17)

Using Technology: Analyzing Mathematical Models

390

(5)

Chapter 5 Summary of Principal Formulas and Terms

395

(1)

Chapter 5 Review Exercises

395

(2)

CHAPTER 6 Integration

397

(96)

6.1 Antiderivatives and the Rules of Integration

398

(14)

6.2 Integration by Substitution

412

(10)

6.3 Area and the Definite Integral

422

(10)

6.4 The Fundamental Theorem of Calculus

432

(10)

Using Technology: Evaluating Definite Integrals

441

(1)

6.5 Evaluating Definite Integrals

442

(12)

Using Technology: Evaluating Definite Integrals for Piecewise-Defined Functions

450

(4)

6.6 Area between Two Curves

454

(14)

Using Technology: Finding the Area between Two Curves

464

(4)

6.7 Applications of the Definite Integral to Business and Economics

468

(14)

Using Technology: Business and Economic Applications/Technology Exercises

481

(1)

6.8 Volumes of Solids of Revolution

482

(7)

Chapter 6 Summary of Principal Formulas and Terms

489

(1)

Chapter 6 Review Exercises

490

(3)

CHAPTER 7 Additional Topics in Integration

493

(43)

7.1 Integration by Parts

494

(7)

7.2 Integration Using Tables of Integrals

501

(7)

7.3 Numerical Integration

508

(14)

PORTFOLIO: James H. Chesebro. M.D.

522

(131)

7.4 Improper Integrals

524

(9)

Chapter 7 Summary of Principal Formulas and Terms

533

(1)

Chapter 7 Review Exercises

534

(2)

CHAPTER 8 Calculus of Several Variables

536

(85)

8.1 Functions of Several Variables

537

(10)

8.2 Partial Derivatives

547

(15)

Using Technology: Finding Partial Derivatives at a Given Point

560

(2)

8.3 Maxima and Minima of Functions of Several Variables

562

(11)

8.4 The Method of Least Squares

573

(12)

Using Technology: Finding an Equation of a Least-Squares Line

580

(5)

8.5 Constrained Maxima and Minima and the Method of Lagrange Multipliers

585

(11)

8.6 Total Differentials

596

(6)

8.7 Double Integrals

602

(7)

8.8 Applications of Double Integrals

609

(8)

Chapter 8 Summary of Principal Terms

617

(1)

Chapter 8 Review Exercises

618

(3)

CHAPTER 9 Differential Equations

621

(32)

9.1 Differential Equations

622

(7)

9.2 Separation of Variables

629

(5)

9.3 Applications of Separable Differential Equations

634

(10)

9.4 Approximate Solutions of Differential Equations

644

(7)

Chapter 9 Summary of Principal Terms

651

(1)

Chapter 9 Review Exercises

651

(2)

CHAPTER 10 Probability and Calculus

653

(44)

10.1 Probability Distributions of Random Variables

654

(14)

Using Technology: Graphing a Histogram

664

(4)

10.2 Expected Value and Standard Deviation

668

(15)

Using Technology: Finding the Mean and Standard Deviation

680

(3)

PORTFOLIO: Lilli Meiselman

683

(14)

10.3 Normal Distributions

684

(11)

Chapter 10 Summary of Principal Formulas and Terms

695

(1)

Chapter 10 Review Exercises

695

(2)

CHAPTER 11 Taylor Polynomials and Infinite Series

697

(72)

11.1 Taylor Polynomials

698

(12)

11.2 Infinite Sequences

710

(8)

11.3 Infinite Series

718

(11)

11.4 series with Positive Terms

729

(11)

11.5 Power Series and Taylor Series

740

(9)

11.6 More on Taylor Series

749

(8)

11.7 The Newton-Raphson Method

757

(9)

Chapter 11 Summary of Principal Formulas and Terms

766

(1)

Chapter 11 Review Exercises

767

(2)

CHAPTER 12 Trigonometric Functions

769

(42)

12.1 Measurement of Angles

770

(6)

12.2 The Trigonometric Functions

776

(9)

12.3 Differentiation of Trigonometric Functions

785

(14)

Using Technology: Analyzing Trigonometric Functions

796

(3)

12.4 Integration of Trigonometric Functions

799

(8)

Using Technology: Evaluating Integrals of Trigonometric Functions

804

(3)

Chapter 12 Summary of Principal Formulas and Terms

807

(1)

Chapter 12 Review Exercises

808

(3)

APPENDIX A Inverse Functions

811

(6)

A.1 The Inverse of a Function

811

(2)

A.2 The Graphs of Inverse Functions

813

(1)

A.3 Functions That Have Inverses

813

(1)

A.4 Finding the Inverse of a Function

814

(3)

APPENDIX B Table

817

The Standard Normal Distribution

817

Rent More, Save More! Use code: KBRENTAL

5% off 1 book, 7% off 2 books, 10% off 3+ books

Applied Calculus for the Managerial, Life, and Social Sciences (with InfoTrac)

Applied Calculus for the Managerial, Life, and Social Sciences (with InfoTrac)

9780534465032

053446503X

Summary

Table of Contents

Supplemental Materials

Write a Review

Rent More, Save More! Use code: KBRENTAL

5% off 1 book, 7% off 2 books, 10% off 3+ books

Applied Calculus for the Managerial, Life, and Social Sciences (with InfoTrac)

Applied Calculus for the Managerial, Life, and Social Sciences (with InfoTrac)

9780534465032

053446503X

Summary

Table of Contents

Supplemental Materials

Write a Review

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