Introductory Mathematical Analysis for Business, Economics and Life and Social Sciences - Revised Edition

by: Haeussler, Ernest F.; Paul, Richard P.; Laurel Technical Services, Tech

ISBN 13:
9780130087508
ISBN 10:
0130087505
Edition: 10th
Format: Hardcover
Copyright: 01/01/2002
Publisher: Prentice Hall
Newer Edition

Note: Not guaranteed to come with supplemental materials (access cards, study guides, lab manuals, CDs, etc.)

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Summary

This acclaimed book provides a solid mathematical foundation in business, economics, and the life and social sciences. Beginning with precalculus and finite math topics such as equations, functions, matrix algebra, linear programming, mathematics of finance, and probability, it then progresses through single and multivariable calculus. An abundance and variety of applications appear throughout, enabling the reader to continually see how the mathematics can be put into practice.

Preface

Algebra Refresher

(34)

Purpose

(1)

Sets and Real Numbers

(1)

Some Properties of Real Numbers

(4)

Operations with Real Numbers

(3)

Exponents and Radicals

(8)

Operations with Algebraic Expressions

(5)

Factoring

(3)

Fractions

(9)

Mathematical Snapshot: Modeling Load Cell Behavior

(2)

Equations

(26)

Linear Equations

(7)

Equations Leading to Linear Equations

(4)

Quadratic Equations

(8)

Supplement

(1)

Review

(5)

Mathematical Snapshot: Real Growth of an Investment

(3)

Applications of Equations and Inequalities

(26)

Applications of Equations

(8)

Linear Inequalities

(5)

Applications of Inequalities

(4)

Absolute Value

(4)

Review

(4)

Mathematical Snapshot: Variable-Quality Recording

(2)

Functions and Graphs

(40)

Functions

(7)

Special Functions

(4)

Combinations of Functions

(5)

Graphs in Rectangular Coordinates

104

(11)

Symmetry

115

(5)

Translations and Reflections

120

(2)

Review

122

(5)

Mathematical Snapshot: A Taxing Experience!

125

(2)

Lines, Parabolas, and Systems

127

(54)

Lines

128

(8)

Applications and Linear Functions

136

(8)

Quadratic Functions

144

(8)

Systems of Linear Equations

152

(11)

Nonlinear Systems

163

(3)

Applications of Systems of Equations

166

(10)

Review

176

(5)

Mathematical Snapshot: Wireless Phone Billing Plans

179

(2)

Exponential and Logarithmic Functions

181

(42)

Exponential Functions

182

(13)

Logarithmic Functions

195

(7)

Properties of Logarithms

202

(8)

Logarithmic and Exponential Equations

210

(6)

Review

216

(7)

Mathematical Snapshot: Drug Dosages

220

(3)

Matrix Algebra

223

(78)

Matrices

224

(7)

Matrix Addition and Scalar Multiplication

231

(8)

Matrix Multiplication

239

(13)

Method of Reduction

252

(10)

Method of Reduction (Continued)

262

(6)

Inverses

268

(9)

Determinants

277

(9)

Cramer's Rule

286

(5)

Input-Output Analysis with a Graphics Calculator

291

(4)

Review

295

(6)

Mathematical Snapshot: Insulin Requirements as a Linear Process

298

(3)

Linear Programming

301

(66)

Linear Inequalities in Two Variables

302

(5)

Linear Programming

307

(10)

Multiple Optimum Solutions

317

(2)

The Simplex Method

319

(13)

Degeneracy, Unbounded Solutions, and Multiple Optimum Solutions

332

(6)

Artificial Variables

338

(11)

Minimization

349

(5)

The Dual

354

(8)

Review

362

(5)

Mathematical Snapshot: Drug and Radiation Therapies

365

(2)

Mathematics of Finance

367

(30)

Compound Interest

368

(5)

Present Value

373

(5)

Annuities

378

(10)

Amortization of Loans

388

(5)

Review

393

(4)

Mathematical Snapshot: Treasury Securities

395

(2)

Introduction to Probability and Statistics

397

(82)

Basic Counting Principle and Permutations

398

(8)

Combinations and Other Counting Principles

406

(8)

Sample Spaces and Events

414

(9)

Probability

423

(12)

Conditional Probability and Stochastic Processes

435

(15)

Independent Events

450

(11)

Bayes's Formula

461

(10)

Review

471

(8)

Mathematical Snapshot: Probability and Cellular Automata

477

(2)

Additional Topics in Probability

479

(32)

Discrete Random Variables and Expected Value

480

(8)

The Binomial Distribution

488

(5)

Markov Chains

493

(12)

Review

505

(6)

Mathematical Snapshot: Markov Chains in Game Theory

508

(3)

Limits and Continuity

511

(44)

Limits

512

(11)

Limits (Continued)

523

(10)

Interest Compounded Continuously

533

(3)

Continuity

536

(8)

Continuity Applied to Inequalities

544

(4)

Review

548

(7)

Mathematical Snapshot: National Debt

552

(3)

Differentiation

555

(58)

The Derivative

556

(9)

Rules for Differentiation

565

(8)

The Derivative as a Rate of Change

573

(11)

Differentiability and Continuity

584

(2)

Product and Quotient Rules

586

(11)

The Chain Rule and the Power Rule

597

(9)

Review

606

(7)

Mathematical Snapshot: Marginal Propensity to Consume

611

(2)

Additional Differentiation Topics

613

(32)

Derivatives of Logarithmic Functions

614

(5)

Derivatives of Exponential Functions

619

(6)

Implicit Differentiation

625

(7)

Logarithmic Differentiation

632

(3)

Higher-Order Derivatives

635

(4)

Review

639

(6)

Mathematical Snapshot: Population Change over Time

642

(3)

Curve Sketching

645

(42)

Relative Extrema

646

(11)

Absolute Extrema on a Closed Interval

657

(3)

Concavity

660

(8)

The Second-Derivative Test

668

(2)

Asymptotes

670

(10)

Review

680

(7)

Mathematical Snapshot: Sketching the Phillips Curve

684

(3)

Applications of Differentiation

687

(36)

Applied Maxima and Minima

688

(13)

Differentials

701

(6)

Elasticity of Demand

707

(5)

Newton's Method

712

(5)

Review

717

(6)

Mathematical Snapshot: Economic Order Quantity

720

(3)

Integration

723

(74)

The Indefinite Integral

724

(7)

Integration with Initial Conditions

731

(5)

More Integration Formulas

736

(9)

Techniques of Integration

745

(6)

Summation

751

(3)

The Definite Integral

754

(9)

The Fundamental Theorem of Integral Calculus

763

(11)

Area

774

(4)

Area Between Curves

778

(8)

Consumers' and Producers' Surplus

786

(3)

Review

789

(8)

Mathematical Snapshot: Delivered Price

794

(3)

Methods and Applications of Integration

797

(54)

Integration by Parts

798

(5)

Integration by Partial Fractions

803

(7)

Integration by Tables

810

(6)

Average Value of a Function

816

(3)

Approximate Integration

819

(5)

Differential Equations

824

(8)

More Applications of Differential Equations

832

(8)

Improper Integrals

840

(4)

Review

844

(7)

Mathematical Snapshot: Dieting

848

(3)

Continuous Random Variables

851

(24)

Continuous Random Variables

852

(8)

The Normal Distribution

860

(6)

The Normal Approximation to the Binomial Distribution

866

(4)

Review

870

(5)

Mathematical Snapshot: Cumulative Distribution from Data

873

(2)

Multivariable Calculus

875

(68)

Functions of Several Variables

876

(6)

Partial Derivatives

882

(7)

Applications of Partial Derivatives

889

(7)

Implicit Partial Differentiation

896

(3)

Higher-Order Partial Derivatives

899

(3)

Chain Rule

902

(4)

Maxima and Minima for Functions of Two Variables

906

(10)

Lagrange Multipliers

916

(8)

Lines of Regression

924

(7)

A Comment on Homogeneous Functions

931

(2)

Multiple Integrals

933

(4)

Review

937

(6)

Mathematical Snapshot: Data Analysis to Model Cooling

941

(2)

Appendix A Concepts for Calculus

943

(56)

A.1 Interpreting Graphs

944

(6)

A.2 Modeling

950

(6)

A.3 Average Rate of Change

956

(6)

A.4 Instantaneous Rate of Change: The Derivative

962

(6)

A.5 Area Under a Curve

968

(5)

A.6 Sigma Notation

973

(4)

A.7 Areas and Integrals

977

(9)

A.8 Applications of Derivatives and Integrals

986

(8)

A.9 Review

994

(5)

Appendix B Compound Interest Tables

999

(16)

Appendix C Table of Selected Integrals

1015

(4)

Appendix D Areas Under the Standard Normal Curve

1019

Answers to Odd-Numbered Problems

AN1

Index

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Introductory Mathematical Analysis for Business, Economics and Life and Social Sciences - Revised Edition

9780130087508

0130087505

Summary

Table of Contents

Write a Review

Introductory Mathematical Analysis for Business, Economics and Life and Social Sciences - Revised Edition

9780130087508

0130087505

Summary

Table of Contents

Write a Review

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