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Applied Calculus for the Managerial, Life, and Social Sciences

by: Tan, Soo T.

Applied Calculus for the Managerial, Life, and Social Sciences

by: Tan, Soo T.

ISBN 13:
9780534378431
ISBN 10:
0534378439
Edition: 5th
Format: Hardcover
Copyright: 07/18/2001
Publisher: Brooks Cole
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Summary

In this revision of his best-selling text, Soo Tan builds on the features that have made his texts best-sellers: a problem-solving approach, accurate mathematical development, a concise yet accessible writing style, and a wealth of interesting and appropriate applications. These features are combined with practical pedagogical tools to help students understand and comprehend the material. Tan also now includes innovative use of technology that is optional yet well integrated throughout the book.

Preliminaries

(56)

Precalculus Review I

(10)

Precalculus Review II

(14)

The Cartesian Coordinate System

(9)

Straight Lines

(21)

Summary of Principal Formulas and Terms

(1)

Review Exercises

(2)

Functions, Limits, and the Derivative

(124)

Functions and Their Graphs

(21)

Using Technology: Graphing a Function

(5)

The Algebra of Functions

(9)

Portfolio: Michael Marchlik

(4)

Functions and Mathematical Models

(20)

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

104

(6)

Limits

110

(25)

Using Technology: Finding the Limit of a Function

130

(5)

One-Sided Limits and Continuity

135

(20)

Using Technology: Finding the Points of Discontinuity of a Function

150

(5)

The Derivative

155

(27)

Using Technology: Graphing a Function and Its Tangent Lines

176

(3)

Summary of Principal Formulas and Terms

179

(1)

Review Exercises

179

(3)

Differentiation

182

(94)

Basic Rules of Differentiation

184

(14)

Using Technology: Finding the Rate of Change of a Function

192

(6)

The Product and Quotient Rules

198

(13)

Using Technology: The Product and Quotient Rules

208

(3)

The Chain Rule

211

(13)

Using Technology: Finding the Derivative of a Composite Function

218

(6)

Marginal Functions in Economics

224

(16)

Higher-Order Derivatives

240

(9)

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

246

(3)

Implicit Differentiation and Related Rates

249

(12)

Differentials

261

(15)

Portfolio: John Decker

262

(8)

Using Technology: Finding the Differential of a Function

270

(3)

Summary of Principal Formulas and Terms

273

(1)

Review Exercises

274

(2)

Applications of the Derivative

276

(96)

Applications of the First Derivative

278

(23)

Using Technology: Using the First Derivative to Analyze a Function

296

(5)

Applications of the Second Derivative

301

(20)

Using Technology: Finding the Inflection Points of a Function

318

(3)

Curve Sketching

321

(20)

Using Technology: Analyzing the Properties of a Function

334

(7)

Optimization I

341

(16)

Using Technology: Finding the Absolute Extrema of a Function

354

(3)

Optimization II

357

(15)

Summary of Principal Terms

369

(1)

Review Exercises

369

(3)

Exponential and Logarithmic Functions

372

(66)

Exponential Functions

374

(9)

Using Technology

380

(3)

Logarithmic Functions

383

(8)

Compound Interest

391

(14)

Portfolio: Misato Nakazaki

403

(2)

Differentiation of Exponential Functions

405

(12)

Using Technology

414

(3)

Differentiation of Logarithmic Functions

417

(8)

Exponential Functions as Mathematical Models

425

(13)

Summary of Principal Formulas and Terms

436

(1)

Review Exercises

437

(1)

Integration

438

(110)

Antiderivatives and the Rules of Integration

440

(15)

Integration by Substitution

455

(11)

Area and the Definite Integral

466

(11)

The Fundamental Theorem of Calculus

477

(14)

Using Technology: Evaluating Definite Integrals

488

(3)

Evaluating Definite Integrals

491

(12)

Using Technology: Evaluating Definite Integrals for Piecewise-Defined Functions

500

(3)

Area Between Two Curves

503

(16)

Using Technology: Finding the Area Between Two Curves

516

(3)

Applications of the Definite Integral to Business and Economics

519

(16)

Using Technology: Consumers' Surplus and Producers' Surplus

533

(2)

Volumes of Solids of Revolution

535

(13)

Summary of Principal Formulas and Terms

543

(1)

Review Exercises

544

(4)

Additional Topics in Integration

548

(48)

Integration by Parts

550

(7)

Integration Using Tables of Integrals

557

(8)

Numerical Integration

565

(17)

Portfolio: James H. Chesebro

580

(2)

Improper Integrals

582

(14)

Summary of Principal Formulas and Terms

593

(1)

Review Exercises

594

(2)

Calculus of Several Variables

596

(94)

Functions of Several Variables

598

(10)

Partial Derivatives

608

(18)

Using Technology: Finding Partial Derivatives at a Given Point

622

(4)

Maxima and Minima of Functions of Several Variables

626

(11)

The Method of Least Squares

637

(13)

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

646

(4)

Constrained Maxima and Minima and the Method of Lagrange Multipliers

650

(13)

Total Differentials

663

(6)

Double Integrals

669

(8)

Applications of Double Integrals

677

(13)

Summary of Principal Terms

687

(1)

Review Exercises

687

(3)

Differential Equations

690

(36)

Differential Equations

692

(7)

Separation of Variables

699

(7)

Applications of Separable Differential Equations

706

(10)

Approximate Solutions of Differential Equations

716

(10)

Summary of Principal Terms

724

(1)

Review Exercises

724

(2)

Probability and Calculus

726

(46)

Probability Distributions of Random Variables

728

(11)

Using Technology: Graphing a Histogram

736

(3)

Expected Value and Standard Deviation

739

(17)

Using Technology: Finding the Mean and Standard Deviation

754

(2)

Normal Distributions

756

(16)

Summary of Principal Formulas and Terms

769

(1)

Review Exercises

770

(2)

Taylor Polynomials and Infinite Series

772

(80)

Taylor Polynomials

774

(13)

Infinite Sequences

787

(9)

Infinite Series

796

(12)

Series with Positive Terms

808

(11)

Power Series and Taylor Series

819

(10)

Amazon no longer offers textbook rentals. We do!

Applied Calculus for the Managerial, Life, and Social Sciences

Applied Calculus for the Managerial, Life, and Social Sciences

9780534378431

0534378439

Summary

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

Applied Calculus for the Managerial, Life, and Social Sciences

Applied Calculus for the Managerial, Life, and Social Sciences

9780534378431

0534378439

Summary

Table of Contents

Supplemental Materials

Write a Review

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