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Finite Mathematics and Calculus With Applications

by: Lial, Margaret L.; Greenwell, Raymond N.; Miller, Charles D.

Finite Mathematics and Calculus With Applications

by: Lial, Margaret L.; Greenwell, Raymond N.; Miller, Charles D.

ISBN 13:
9780321016331
ISBN 10:
0321016335
Edition: 5th
Format: Hardcover
Copyright: 10/01/1997
Publisher: Pearson College Div
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Summary

Widely known for incorporating interesting, relevant and realistic applications, this new edition offers many more real applications citing real data sources. It also allows for increased visualization and discovery through optional use of graphing calculators. A dedicated World Wide Web site rounds out the teaching and learning package, offering projects based on current events, and graphing calculator programs tied to the text.

Preface

Index of Applications

Algebra Reference

Polynomials

Factoring

xxiii

Rational Expressions

xxv

Equations

xxix

Inequalities

xxxv

Exponents

Radicals

xliv

Linear Functions

Slope and Equations of a Line

(13)

Linear Functions

(12)

Linear Mathematical Models

(10)

Constructing a Mathematical Model

(19)

Review Exercises

(3)

Extended Application: Using Marginal Cost to Estimate the Cost of Educating Immigrants

(1)

Extended Application: Depreciation

(3)

Systems of Linear Equations and Matrices

Solution of Linear Systems by the Echelon Method

(10)

Solution of Linear Systems by the Gauss-Jordan Method

(13)

Addition and Subtraction of Matrices

(8)

Multiplication of Matrices

(11)

Matrix Inverses

(10)

Input-Output Models

108

(14)

Review Exercises

115

(5)

Extended Application:Contagion

120

(2)

Linear Programming:The Graphical Method

Graphing Linear Inequalities

122

(8)

Solving Linear Programming Problems Graphically

130

(6)

Applications of Linear Programming

136

(12)

Review Exercises

144

(4)

Linear Programming:The Simplex Method

Slack Variables and the Pivot

148

(8)

Maximization Problems

156

(10)

Minimization Problems; Duality

166

(11)

Nonstandard Problems

177

(15)

Review Exercises

186

(1)

Extended Application: A Minimum Cost Balanced Organic Fertilizer Mix

187

(5)

Mathematics of Finance

Simple and Compound Interest

192

(9)

Future Value of an Annuity

201

(9)

Present Value of an Annuity; Amortization

210

(18)

A Strategy for Solving Finance Problems

219

(1)

Review Exercises

220

(4)

Extended Application: Time, Money, and Polynomials

224

(4)

Sets and Probability

Sets

228

(9)

Applications of Venn Diagrams

237

(9)

Introduction to Probability

246

(8)

Basic Concepts of Probability

254

(11)

Conditional Probability; Independent Events

265

(16)

Bayes' Theorem

281

(17)

Probability Summary

288

(1)

Review Exercises

289

(6)

Extended Application: Medical Diagnosis

295

(3)

Counting Principles; Further Probability Topics

The Multiplication Principle; Permutations

298

(8)

Combinations

306

(9)

Probability Applications of Counting Principles

315

(10)

Binomial Probability

325

(7)

Probability Distributions; Expected Value

332

(18)

Review Exercises

343

(5)

Extended Application: Optimal Inventory for a Service Truck

348

(2)

Statistics

Frequency Distributions; Measures of Central Tendency

350

(12)

Measures of Variation

362

(8)

The Normal Distribution

370

(10)

Normal Approximation to the Binomial Distribution

380

(12)

Review Exercises

387

(5)

Markov Chains

Basic Properties of Markov Chains

392

(9)

Regular Markov Chains

401

(9)

Absorbing Markov Chains

410

(16)

Review Exercises

419

(4)

Extended Application: Cavities and Restoration

423

(3)

Game Theory

Strictly Determined Games

426

(8)

Mixed Strategies

434

(10)

Game Theory and Linear Programming

444

(14)

Review Exercises

451

(3)

Extended Application: Decision Making in the Military

454

(4)

Nonlinear Functions

Properties of Functions

458

(13)

Quadratic Functions

471

(8)

Translations and Reflections of Functions

479

(7)

Polynomial and Rational Functions

486

(14)

Exponential Functions

500

(11)

Logarithmic Functions

511

(14)

Applications: Growth and Decay; Mathematics of Finance

525

(23)

Review Exercises

538

(8)

Extended Application: Characteristics of the Monkeyface Prickleback

546

(2)

The Derivative

Limits

548

(17)

Continuity

565

(7)

Rates of Change

572

(14)

Definition of the Derivative

586

(18)

Graphical Differentiation

604

(12)

Review Exercises

610

(6)

Calculating the Derivative

Techniques for Finding Derivatives

616

(13)

Derivatives of Products and Quotients

629

(7)

The Chain Rule

636

(10)

Derivatives of Exponential Functions

646

(6)

Derivatives of Logarithmic Functions

652

(10)

Review Exercises

658

(4)

Graphs and the Derivative

Increasing and Decreasing Functions

662

(10)

Relative Extrema

672

(13)

Higher Derivatives, Concavity, and the Second Derivative Test

685

(14)

Curve Sketching

699

(13)

Review Exercises

707

(5)

Applications of the Derivative

Absolute Extrema

712

(8)

Applications of Extrema

720

(11)

Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand

731

(9)

Implicit Differentiation

740

(5)

Related Rates

745

(6)

Differentials: Linear Approximation

751

(13)

Review Exercises

757

(3)

Extended Application: A Total Cost Model for a Training Program

760

(1)

Extended Application: The Effect of Oil Price on the Optimal Speed of Ships

761

(3)

Integration

Antiderivatives

764

(11)

Substitution

775

(8)

Area and the Definite Integral

783

(13)

The Fundamental Theorem of Calculus

796

(10)

The Area Between Two Curves

806

(9)

Numerical Integration

815

(17)

Review Exercises

825

(4)

Extended Application: Estimating Depletion Dates for Minerals

829

(3)

Further Techniques and Applications of Integration

Integration by Parts; Tables of Integrals

832

(8)

Volume and Average Value

840

(6)

Continuous Money Flow

846

(8)

Improper Integrals

854

(5)

Solutions of Elementary and Separable Differential Equations

859

(19)

Review Exercises

871

(3)

Extended Application: How Much Does a Warranty Cost?

874

(4)

Multivariable Calculus

Functions of Several Variables

878

(11)

Partial Derivatives

889

(10)

Maxima and Minima

899

(9)

Lagrange Multipliers

908

(7)

Total Differentials and Approximations

915

(5)

Double Integrals

920

(20)

Review Exercises

932

(5)

Extended Application: Lagrange Multipliers for a Predator

937

(3)

Probability and Calculus

Continuous Probability Models

940

(7)

Expected Value and Variance of Continuous Random Variables

947

(6)

Special Probability Density Functions

953

Review Exercises

965

(3)

Extended Application: A Crop-Planting Model

968

Tables

Table 1: Formulas from Geometry

A-1

Table 2: Area Under a Normal Curve

A-3

Table 3: Integrals

A-5

Answers to Selected Exercises

A-7

Index

I-1

Amazon no longer offers textbook rentals. We do!

Finite Mathematics and Calculus With Applications

Finite Mathematics and Calculus With Applications

9780321016331

0321016335

Summary

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

Finite Mathematics and Calculus With Applications

Finite Mathematics and Calculus With Applications

9780321016331

0321016335

Summary

Table of Contents

Supplemental Materials

Write a Review

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