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Mathematics with Applications In the Management, Natural and Social Sciences, 11th edition

  • Margaret L. Lial
  • Thomas W. Hungerford
  • John P. Holcomb
  • Bernadette Mullins

Published by Pearson (January 10th 2014) - Copyright © 2015

11th edition

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Overview

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Mathematics with Applications in the Management, Natural, and Social Sciences presents sound mathematics in an understandable manner, proceeding from the familiar to new material and from concrete examples to general rules and formulas. The Eleventh Edition retains its focus on real-world problem solving, but has been refreshed with revised and added content, updated and new applications, fine-tuned and newly-integrated pedagogical devices, and enhanced exercise sets.

 

0321935446 / 9780321935441 Mathematics with Applications In the Management, Natural, and Social Sciences Plus NEW MyMathLab with Pearson eText with Pearson eText -- Access Card Package

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Table of contents

1. Algebra and Equations

1.1 The Real Numbers

1.2 Polynomials

1.3 Factoring

1.4 Rational Expressions

1.5 Exponents and Radicals

1.6 First-Degree Equations

1.7 Quadratic Equations

            Summary and Review

            Case Study 1 Consumers Often Need to Just Do the Math

 

2. Graphs, Lines, and Inequalities

2.1 Graphs

2.2 Equations of Lines

2.3 Linear Models

2.4 Linear Inequalities

2.5 Polynomial and Rational Inequalities

            Summary and Review

            Case Study 2 Using Extrapolation and Interpolation for Prediction

 

3. Functions and Graphs

3.1 Functions

3.2 Graphs of Functions

3.3 Applications of Linear Functions

3.4 Quadratic Functions and Applications

3.5 Polynomial Functions

3.6 Rational Functions

            Summary and Review

            Case Study 3 Architectural Arches

 

4. Exponential and Logarithmic Functions

4.1 Exponential Functions

4.2 Applications of Exponential Functions

4.3 Logarithmic Functions

4.4 Logarithmic and Exponential Equations

            Summary and Review

            Case Study 4 Gapminder.org

 

5. Mathematics of Finance

5.1 Simple Interest and Discount

5.2 Compound Interest

5.3 Annuities, Future Value, and Sinking Funds

5.4 Annuities, Present Value, and Amortization

            Summary and Review

            Case Study 5 Continuous Compounding

 

6. Systems of Linear Equations and Matrices

6.1 Systems of Two Linear Equations in Two Variables

6.2 Larger Systems of Linear Equations

6.3 Applications of Systems of Linear Equations

6.4 Basic Matrix Operations

6.5 Matrix Products and Inverses

6.6 Applications of Matrices

            Summary and Review

            Case Study 6 Matrix Operations and Airline Route Maps

 

7. Linear Programming

7.1 Graphing Linear Inequalities in two Variables

7.2 Linear Programming: The Graphical Method

7.3 Applications of Linear Programming

7.4 The Simplex Method: Maximization

7.5 Maximization Applications

7.6 The Simplex Method: Duality and Minimization

7.7 The Simplex Method: Nonstandard Problems

            Summary and Review

            Case Study 7 Cooking with Linear Programming

 

8. Sets and Probability

8.1 Sets

8.2 Applications of Venn Diagrams and Contingency Tables

8.3 Introduction to Probability

8.4 Basic Concepts of Probability

8.5 Conditional Probability and Independent Events

8.6 Bayes' Formula

            Summary and Review

            Case Study 8 Medical Diagnosis

 

9. Counting, Probability Distributions, and Further Topics in Probability

9.1 Probability Distributions and Expected Value

9.2 The Multiplication Principle, Permutations, and Combinations

9.3 Applications of Counting

9.4 Binomial Probability

9.5 Markov Chains

9.6 Decision Making

            Summary and Review

            Case Study 9 Quick Draw®from the New York State Lottery

 

10. Introduction to Statistics

10.1 Frequency Distributions

10.2 Measures of Center

10.3 Measures of Variation

10.4 Normal Distributions and Boxplots

10.5 Normal Approximation to the Binomial Distribution

            Summary and Review

            Case Study 10 Standard Deviation as a Measure of Risk

 

11. Differential Calculus

11.1 Limits

11.2 One-sided Limits and Limits Involving Infinity

11.3 Rates of Change

11.4 Tangent Lines and Derivatives

11.5 Techniques for Finding Derivatives

11.6 Derivatives of Products and Quotients

11.7 The Chain Rule

11.8 Derivatives of Exponential and Logarithmic Functions

11.9 Continuity and Differentiability

            Summary and Review

            Case Study 11 Price Elasticity

 

12. Applications of the Derivative

12.1 Derivatives and Graphs

12.2 The Second Derivative

12.3 Optimization Applications

12.4 Implicit Differentiation

12.5 Related Rates

12.6 Curve Sketching

            Summary and Review

            Case Study 12 A Total Cost Model for a Training Program

 

13. Integral Calculus

13.1 Antiderivatives

13.2 Integration by Substitution

13.3 Area and the Definite Integral

13.4 The Fundamental Theorem of Calculus

13.5 Applications of Integrals

13.6 Tables of Integrals (Optional)

13.7 Differential Equations

            Summary and Review

            Case Study 13 Bounded Population Growth

 

14. Multivariate Calculus

14.1 Functions of Several Variables

14.2 Partial Derivatives

14.3 Extrema of Functions of Several Variables

14.4 Lagrange Multipliers

            Summary and Review

            Case Study 14 Global Warming and the Method of Least Squares

 

Appendices

Appendix A. Graphing Calculators

Appendix B: Tables

            Table 1: Formulas from Geometry

            Table 2: Areas under the Normal Curve

            Table 3: Integrals

Appendix C. Learning Objectives

Appendix D. Solutions to Prerequisite Skills Tests

 

Answers to Selected Exercises

Index of Companies, Products, and Agencies

Index of Applications

Subject Index

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