9781305108042

Mathematical Applications for the Management, Life, and Social Sciences

James J. Reynolds, Ronald J. Harshbarger

11th Edition

MATHEMATICAL APPLICATIONS FOR THE MANAGEMENT, LIFE, AND SOCIAL SCIENCES, 11th Edition, features a concept-based approach, multiple presentation methods, and interesting and relevant applications that keep readers-future professionals in business, economics, life sciences, and social sciences-engaged in the material. This edition retains the book's real-life context by addi

0.1

Sets

Exercises

p.7

0.2

The Real Numbers

Exercises

p.14

0.3

Integral Exponents

Exercises

p.19

0.4

Radicals and Rational Exponents

Exercises

p.26

0.5

Operations with Algebraic Expressions

Exercises

p.32

0.6

Factoring

Exercises

p.37

0.7

Algebraic Fractions

Exercises

p.43

Review Exercises

p.46

Chapter Test

p.49

1.1

Solutions of Linear Equations and Inequalities in One Variable

Exercises

p.60

1.2

Functions

Exercises

p.70

1.3

Linear Functions

Exercises

p.82

1.4

Graphs and Graphing Utilities

Exercises

p.90

1.5

Solutions of Systems of Linear Equations

Exercises

p.101

1.6

Applications of Functions in Business and Economics

Exercises

p.109

Review Exercises

p.114

Chapter Test

p.117

2.1

Quadratic Equations

Exercises

p.129

2.2

Quadratic Functions: Parabolas

Exercises

p.139

2.3

Business Applications Using Quadratics

Exercises

p.146

2.4

Special Functions and Their Graphs

Exercises

p.157

2.5

Modeling; Fitting Curves to Data with Graphing Utilities

Exercises

p.166

Review Exercises

p.171

Chapter Test

p.175

3.1

Matrices

Exercises

p.188

3.2

Multiplication of Matrices

Exercises

p.199

3.3

Gauss-Jordan Elimination: Solving Systems of Equations

Exercises

p.212

3.4

Inverse of a Square Matrix; Matrix Equations

Exercises

p.225

3.5

Applications of Matrices: Leontief Input-Output Models

Exercises

p.237

Review Exercises

p.241

Chapter Test

p.244

4.1

Linear Inequalities in Two Variables

Exercises

p.257

4.2

Linear Programming: Graphical Methods

Exercises

p.267

4.3

The Simplex Method: Maximization

Exercises

p.284

4.4

The Simplex Method: Duality and Minimization

Exercises

p.294

4.5

The Simplex Method with Mixed Constraints

Exercises

p.303

Review Exercises

p.306

Chapter Test

p.310

7.1

Probability; Odds

Exercises

p.429

7.2

Unions and Intersections of Events: One-Trial Experiments

Exercises

p.437

7.3

Conditional Probability: The Product Rule

Exercises

p.446

7.4

Probability Trees and Bayes' Formula

Exercises

p.454

7.5

Counting: Permutations and Combinations

Exercises

p.461

7.6

Permutations, Combinations, and Probability

Exercises

p.465

7.7

Markov Chains

Exercises

p.474

Review Exercises

p.477

Chapter Test

p.479

8.1

Binomial Probability Experiments

Exercises

p.489

8.2

Data Description

Exercises

p.499

8.3

Discrete Probability Distributions; The Binomial Distribution

Exercises

p.510

8.4

Normal Probability Distribution

Exercises

p.520

8.5

The Normal Curve Approximation to the Binomial Distribution

Exercises

p.525

Review Exercises

p.527

Chapter Test

p.529

9.1

Limits

Exercises

p.545

9.2

Continuous Functions; Limits at Infinity

Exercises

p.556

9.3

Rates of Change and Derivatives

Exercises

p.569

9.4

Derivative Formulas

Exercises

p.580

9.5

The Product Rule and the Quotient Rule

Exercises

p.587

9.6

The Chain Rule and the Power Rule

Exercises

p.594

9.7

Using Derivative Formulas

Exercises

p.600

9.8

Higher-Order Derivatives

Exercises

p.606

9.9

Applications: Marginals and Derivatives

Exercises

p.614

Review Exercises

p.618

Chapter Test

p.622

10.1

Relative Maxima and Minima: Curve Sketching

Exercises

p.639

10.2

Concavity; Points of Inflection

Exercises

p.652

10.3

Optimization in Business and Economics

Exercises

p.663

10.4

Applications of Maxima and Minima

Exercises

p.672

10.5

Rational Functions: More Curve Sketching

Exercises

p.681

Review Exercises

p.685

Chapter Test

p.688

12.1

Indefinite Integrals

Exercises

p.743

12.2

The Power Rule

Exercises

p.752

12.3

Integrals Involving Exponential and Logarithmic Functions

Exercises

p.761

12.4

Applications of the Indefinite Integral in Business and Economics

Exercises

p.769

12.5

Differential Equations

Exercises

p.777

Review Exercises

p.781

Chapter Test

p.783

13.1

Area Under a Curve

Exercises

p.795

13.2

The Definite Integral; The Fundamental Theorem of Calculus

Exercises

p.804

13.3

Area Between Two Curves

Exercises

p.813

13.4

Applications of Definite Integrals in Business and Economics

Exercises

p.823

13.5

Using Tables of Integrals

Exercises

p.828

13.6

Integration by Parts

Exercises

p.833

13.7

Improper Integrals and Their Applications

Exercises

p.839

13.8

Numerical Integration Methods: The Trapezoidal Rule and Simpson's Rule

Exercises

p.846

Review Exercises

p.850

Chapter Test

p.853

14.1

Functions of Two or More Variables

Exercises

p.863

14.2

Partial Differentiation

Exercises

p.873

14.3

Applications of Functions of Two Variables in Business and Economics

Exercises

p.880

14.4

Maxima and Minima

Exercises

p.889

14.5

Maxima and Minima of Functions Subject to Constraints: Lagrange Multipliers

Exercises

p.898

Review Exercises

p.899

Chapter Test

p.902