Applied Mathematics for the Managerial, Life,

In the market-leading APPLIED MATHEMATICS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, Soo T. Tan provides an accurate, accessible presentation of finite mathematics and applied calculus combined with just the right balance of applications, pedagogy, and technology to help students succeed in the course. The new Fourth Edition includes highly interesting current applications and Microsoft Excel exercises to help stimulate student motivation. An exciting new array of supplements, including iLrn Mathematics and the Interactive Video Skillbuilder CD-ROM, provides students with extensive learning support so instructors will have more time to focus on teaching the core concepts.

Fundamentals of Algebra

2

(74)

Real Numbers

4

(6)

Polynomials

10

(8)

Factoring Polynomials

18

(6)

Rational Expressions

24

(6)

Integer Exponents

30

(5)

Solving Equations

35

(7)

Rational Exponents and Radicals

42

(9)

Quadratic Equations

51

(11)

Inequalities and Absolute Value

62

(12)

Summary and Review Exercises

72

(2)

Functions and Their Graphs

74

(72)

The Cartesian Coordinate System and Straight Lines

76

(7)

Equations of Lines

83

(14)

Using Technology

94

(3)

Mathematical Models and Functions

97

(21)

Using Technology

113

(5)

Linear Functions

118

(14)

Portfolio: Carol Busa

121

(9)

Using Technology

130

(2)

Quadratic Functions

132

(14)

Summary and Review Exercises

142

(4)

Exponential and Logarithmic Functions

146

(32)

Exponential Functions

148

(9)

Using Technology

154

(3)

Logarithmic Functions

157

(9)

Exponential Functions as Mathematical Models

166

(12)

Summary and Review Exercises

176

(2)

Mathematics of Finance

178

(56)

Compound Interest

180

(16)

Using Technology

194

(2)

Annuities

196

(12)

Using Technology

206

(2)

Amortization and Sinking Funds

208

(12)

Portfolio: John Decker

212

(6)

Using Technology

218

(2)

Arithmetic and Geometric Progressions (Optional)

220

(14)

Summary and Review Exercises

230

(4)

Systems of Linear Equations and Matrices

234

(92)

Systems of Linear Equations---Introduction

236

(9)

Solving Systems of Linear Equations I

245

(19)

Using Technology

260

(4)

Solving Systems of Linear Equations II

264

(13)

Using Technology

274

(3)

Matrices

277

(13)

Using Technology

288

(2)

Multiplication of Matrices

290

(16)

Using Technology

302

(4)

The Inverse of a Square Matrix

306

(20)

Using Technology

318

(5)

Summary and Review Exercises

323

(3)

Linear Programming

326

(84)

Graphing Systems of Linear Inequalities in Two Variables

328

(9)

Linear Programming Problems

337

(10)

Portfolio: Leanne Jenkins

344

(3)

Graphical Solution of Linear Programming Problems

347

(15)

The Simplex Method: Standard Maximization Problems

362

(27)

Using Technology

384

(2)

Portfolio: Harley Lance Kaplan

386

(3)

The Simplex Method: Standard Minimization Problems

389

(21)

Using Technology

402

(4)

Summary and Review Exercises

406

(4)

Sets and Probability

410

(80)

Sets and Set Operations

412

(12)

The Number of Elements in a Finite Set

424

(7)

The Multiplication Principle

431

(6)

Portfolio: John L. Higgins

434

(3)

Permutations and Combinations

437

(18)

Using Technology

452

(3)

Experiments, Sample Spaces, and Events

455

(10)

Probability

465

(11)

Rules of Probability

476

(14)

Summary and Review Exercises

486

(4)

Additional Topics in Probability

490

(82)

Use of Counting Techniques in Probability

492

(9)

Conditional Probability and Independent Events

501

(16)

Bayes' Theorem

517

(11)

Distributions of Random Variables

528

(13)

Using Technology

538

(3)

Expected Value

541

(15)

Portfolio: Lilli Meiselman

554

(2)

Variance and Standard Deviation

556

(16)

Using Technology

566

(3)

Summary and Review Exercises

569

(3)

The Derivative

572

(146)

Limits

574

(26)

Using Technology

596

(3)

Portfolio: James H. Chesebro, M.D.

599

(1)

Continuity

600

(20)

Using Technology

616

(4)

The Derivative

620

(23)

Using Technology

640

(3)

Basic Rules of Differentiation

643

(14)

Using Technology

654

(3)

The Product and Quotient Rules; Higher-Order Derivatives

657

(18)

Using Technology

671

(4)

The Chain Rule

675

(15)

Using Technology

688

(2)

Differentiation of Exponential and Logarithmic Functions

690

(14)

Using Technology

702

(2)

Marginal Functions in Economics

704

(14)

Summary and Review Exercises

714

(4)

Applications of the Derivative

718

(96)

Applications of the First Derivative

720

(24)

Using Technology

740

(4)

Applications of the Second Derivative

744

(20)

Using Technology

760

(4)

Curve Sketching

764

(20)

Using Technology

776

(8)

Optimization I

784

(16)

Using Technology

796

(4)

Optimization II

800

(14)

Summary and Review Exercises

812

(2)

Integration

814

(102)

Antiderivatives and the Rules of Integration

816

(15)

Integration by Substitution

831

(11)

Area and the Definite Integral

842

(11)

The Fundamental Theorem of Calculus

853

(14)

Using Technology

864

(3)

Evaluating Definite Integrals

867

(12)

Using Technology

876

(3)

Area Between Two Curves

879

(16)

Using Technology

892

(3)

Applications of the Definite Integral to Business and Economics

895

(21)

Using Technology

909

(2)

Summary and Review Exercises

911

(5)

Calculus of Several Variables

916

(45)

Functions of Several Variables

918

(10)

Partial Derivatives

928

(18)

Using Technology

942

(4)

Maxima and Minima of Functions of Several Variables

946

(15)

Summary and Review Exercises

958

(3)

Appendix Table: Compound Amount, Present Value, and Annuity Table

961

(18)

Answers to Selected Exercises

979

(47)

Index

1026

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Applied Mathematics for the Managerial, Life, and Social Sciences

Summary

Table of Contents

Supplemental Materials