College Mathematics for Business, Economics, Life Sciences, and Social Sciences

, by Barnett, Raymond A.; Ziegler, Michael R.; Byleen, Karl E.

Write a Review

Note: Supplemental materials are not guaranteed with Rental or Used book purchases.

ISBN: 9780130797681 | 0130797685
Cover: Hardcover
Copyright: 12/1/1998

Rent

(Recommended)

$77.05

Term

Due

Price

Semester

Dec 12

$81.11

Quarter

Aug 13

$77.05

Short Term

Jul 18

$73.01

*This item is part of an exclusive publisher rental program and requires an additional convenience fee. This fee will be reflected in the shopping cart.
Buy New

Currently Available, Usually Ships in 24-48 Hours

$103.85

Summary

Supplemental Materials

This text is a compilation of Calculus and Finite Mathematics by Barnett/Ziegler. One or two semester format.

Preface

PART ONE A LIBRARY OF ELEMENTARY FUNCTIONS

(126)

Chapter 1 A Beginning Library of Elementary Functions

(74)

1-1 Functions

(20)

1-2 Elementary Functions: Graphs and Transformations

(13)

1-3 Linear Functions and Straight Lines

(16)

1-4 Quadratic Functions

(15)

Important Terms and Symbols

(1)

Review Exercise

(4)

Group Activity 1: Introduction to Regression Analysis

(2)

Group Activity 2: Mathematical Modeling in Business

(3)

Chapter 2 Additional Elementary Functions

(50)

2-1 Polynomial and Rational Functions

(16)

2-2 Exponential Functions

(14)

2-3 Logarithmic Functions

107

(13)

Important Terms and Symbols

120

(1)

Review Exercise

120

(3)

Group Activity 1: Comparing the Growth of Exponential and Polynomial Functions, and Logarithmic and Root Functions

123

(1)

Group Activity 2: Comparing Regression Models

124

(3)

PART TWO FINITE MATHEMATICS

127

(384)

Chapter 3 Mathematics of Finance

129

(46)

3-1 Simple Interest

129

(6)

3-2 Compound Interest

135

(14)

3-3 Future Value of an Annuity; Sinking Funds

149

(7)

3-4 Present Value of an Annuity; Amortization

156

(12)

Important Terms and Symbols

168

(1)

Review Exercise

168

(3)

Group Activity 1: Reducing Interest Payments on a Home Mortgage

171

(1)

Group Activity 2: Yield to Maturity and Internal Rate of Return

172

(3)

Chapter 4 Systems of Linear Equations: Matrices

175

(90)

4-1 Review: Systems of Linear Equations in Two Variables

176

(13)

4-2 Systems of Linear Equations and Augmented Matrices

189

(10)

4-3 Gauss-Jordan Elimination

199

(15)

4-4 Matrices: Basic Operations

214

(13)

4-5 Inverse of a Square Matrix

227

(12)

4-6 Matrix Equations and Systems of Linear Equations

239

(11)

4-7 Leontief Input-Output Analysis

250

(8)

Important Terms and Symbols

258

(1)

Review Exercise

259

(3)

Group Activity 1: Using Matrices to Find Cost, Revenue, and Profit

262

(1)

Group Activity 2: Direct and Indirect Operating Costs

263

(2)

Chapter 5 Linear Inequalities and Linear Programming

265

(100)

5-1 Systems of Linear Inequalities in Two Variables

265

(14)

5-2 Linear Programming in Two Dimensions--A Geometric Approach

279

(15)

5-3 A Geometric Introduction to the Simplex Method

294

(8)

5-4 The Simplex Method: Maximization with Problem Constraints of the Form less than or equal to

302

(20)

5-5 The Dual; Minimization with Problem Constraints of the Form greater than or equal to

322

(17)

5-6 Maximization and Minimization with Mixed Problem Constraints

339

(19)

Important Terms and Symbols

358

(1)

Review Exercise

359

(2)

Group Activity 1: The Two-Phase Method (An Alternative to the Big M Method)

361

(3)

Group Activity 2: Production Scheduling

364

(1)

Chapter 6 Probability

365

(98)

6-1 Basic Counting Principles

366

(10)

6-2 Permutations and Combinations

376

(13)

6-3 Sample Spaces, Events, and Probability

389

(16)

6-4 Union, Intersection, and Complement of Events; Odds

405

(15)

6-5 Conditional Probability, Intersection, and Independence

420

(16)

6-6 Bayes' Formula

436

(7)

6-7 Random Variable, Probability Distribution, and Expected Value

443

(10)

Important Terms and Symbols

453

(1)

Review Exercise

454

(5)

Group Activity 1: Car and Crying Towels

459

(1)

Group Activity 2: Simulation-A Draft Lottery for Professional Sports

460

(3)

Chapter 7 Markov Chains

463

(48)

7-1 Properties of Markov Chains

463

(13)

7-2 Regular Markov Chains

476

(12)

7-3 Absorbing Markov Chains

488

(16)

Important Terms and Symbols

504

(1)

Review Exercise

504

(4)

Group Activity 1: Social Mobility

508

(1)

Group Activity 2: Gambler's Ruin

509

(2)

PART THREE CALCULUS

511

(432)

Chapter 8 The Derivative

513

(92)

8-1 Rate of Change and Slope

514

(13)

8-2 Limits

527

(17)

8-3 The Derivative

544

(13)

8-4 Derivatives of Constants, Power Forms, and Sums

557

(13)

8-5 Derivatives of Products and Quotients

570

(8)

8-6 Chain Rule: Power Form

578

(8)

8-7 Marginal Analysis in Business and Economics

586

(11)

Important Terms and Symbols

597

(1)

Summary of Rules of Differentiation

598

(1)

Review Exercise

598

(5)

Group Activity 1: Minimal Average Cost

603

(1)

Group Activity 2: Numerical Differentiation on a Graphing Utility

604

(1)

Chapter 9 Graphing and Optimization

605

(90)

9-1 Continuity and Graphs

606

(16)

9-2 First Derivative and Graphs

622

(17)

9-3 Second Derivative and Graphs

639

(16)

9-4 Curve Sketching Techniques: Unified and Extended

655

(16)

9-5 Optimization; Absolute Maxima and Minima

671

(16)

Important Terms and Symbols

687

(1)

Review Exercise

688

(4)

Group Activity 1: Maximizing Profit

692

(1)

Group Activity 2: Minimizing Construction Costs

692

(3)

Chapter 10 Additional Derivative Topics

695

(50)

10-1 The Constant e and Continuous Compound Interest

695

(8)

10-2 Derivatives of Logarithmic and Exponential Functions

703

(12)

10-3 Chain Rule: General Form

715

(12)

10-4 Implicit Differentiation

727

(7)

10-5 Related Rates

734

(6)

Important Terms and Symbols

740

(1)

Additional Rules of Differentiation

740

(1)

Review Exercise

741

(2)

Group Activity 1: Elasticity of Demand

743

(1)

Group Activity 2: Point of Diminishing Returns

744

(1)

Chapter 11 Integration

745

(84)

11-1 Antiderivatives and Indefinite Integrals

745

(15)

11-2 Integration by Substitution

760

(12)

11-3 Differential Equations-Growth and Decay

772

(12)

11-4 A Geometric-Numeric Introduction to the Definite Integral

784

(16)

11-5 Definite Integral as a Limit of a Sum; Fundamental Theorem of Calculus

800

(19)

Important Terms and Symbols

819

(1)

Integration Formulas and Properties

819

(1)

Review Exercise

819

(5)

Group Activity 1: Simpson's Rule

824

(3)

Group Activity 2: Bell-Shaped Curves

827

(2)

Chapter 12 Additional Integration Topics

829

(46)

12-1 Area between Curves

829

(12)

12-2 Applications in Business and Economics

841

(13)

12-3 Integration by Parts

854

(7)

12-4 Integration Using Tables

861

(8)

Important Terms and Symbols

869

(1)

Review Exercise

869

(2)

Group Activity 1: Analysis of Income Concentration from Raw Data

871

(2)

Group Activity 2: Grain Exchange

873

(2)

Chapter 13 Multivariable Calculus

875

(68)

13-1 Functions of Several Variables

875

(10)

13-2 Partial Derivatives

885

(10)

13-3 Maxima and Minima

895

(9)

13-4 Maxima and Minima Using Lagrange Multipliers

904

(10)

13-5 Method of Least Squares

914

(11)

13-6 Double Integrals Over Rectangular Regions

925

(11)

Important Terms and Symbols

936

(1)

Review Exercise

936

(3)

Group Activity 1: City Planning

939

(1)

Group Activity 2: Numerical Integration of Multivariable Functions

940

(3)

Appendix A Basic Algebra Review

943

(68)

Self-Test on Basic Algebra

943

(2)

A-1 Sets

945

(6)

A-2 Algebra and Real Numbers

951

(7)

A-3 Operations on Polynomials

958

(7)

A-4 Factoring Polynomials

965

(6)

A-5 Operations on Rational Expressions

971

(7)

A-6 Integer Exponents and Scientific Notation

978

(6)

A-7 Rational Exponents and Radicals

984

(7)

A-8 Linear Equations and Inequalities in One Variable

991

(10)

A-9 Quadratic Equations

1001

(10)

Appendix B Special Topics

1011

(18)

B-1 Sequences, Series, and Summation Notation

1011

(6)

B-2 Arithmetic and Geometric Sequences

1017

(8)

B-3 The Binomial Theorem

1025

(4)

Appendix C Tables

1029

Table I Basic Geometric Formulas

1029

(2)

Table II Integration Formulas

1031

Answers

A-1

Index

I-1

Library of Elementary Functions

Inside front cover

Applications Index

Inside back cover

Please wait while the item is added to your bag...

FREE SHIPPING

Rent More, Save More! Use code: BBRENTAL

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

College Mathematics for Business, Economics, Life Sciences, and Social Sciences

Summary

Table of Contents

Supplemental Materials

FREE SHIPPING

Rent More, Save More! Use code: BBRENTAL

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

College Mathematics for Business, Economics, Life Sciences, and Social Sciences

Summary

Table of Contents

Supplemental Materials

Digital License