Higher Education

Mathematical Applications for the Management, Life, and Social Sciences, 10th Edition

  • Ronald J. Harshbarger University of South Carolina
  • James J. Reynolds Clarion University
  • ISBN-10: 1133106234  |  ISBN-13: 9781133106234
  • 1104 Pages
  • Previous Editions: 2009, 2007, 2004
  • © 2013 | Published
  • College Bookstore Wholesale Price = $254.25
  • Newer Edition Available
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About

Overview

MATHEMATICAL APPLICATIONS FOR THE MANAGEMENT, LIFE, AND SOCIAL SCIENCES, 10th Edition, is intended for a two-semester applied calculus or combined finite mathematics and applied calculus course. The book's concept-based approach, multiple presentation methods, and interesting and relevant applications keep students who typically take the course--business, economics, life sciences, and social sciences majors--engaged in the material. This edition broadens the book's real-life context by adding a number of environmental science and economic applications. The use of modeling has been expanded, with modeling problems now clearly labeled in the examples. Also included in the Tenth Edition is a brief review of algebra to prepare students with different backgrounds for the material in later chapters.

Additional Product Information

Features and Benefits

  • Comprehensive Exercise Sets: While the overall variety and grading of drill and application exercises offer problems for different skill levels, there are enough challenging problems to stimulate students in thoughtful investigations. Many sets contain critical thinking and thought-provoking multi-step problems that extend students' knowledge and skills.
  • Flexibility: To accommodate alternate teaching approaches, the text offers a great deal of flexibility in the order in which topics may be presented and the degree to which they may be emphasized. Consequently, the book can be adapted to variations in coverage and sequencing of topics at different colleges and universities, depending upon the purpose of the course and the nature of the student audience.
  • Technology: An icon throughout the text denotes Technology Notes, Calculator Notes and Spreadsheet Notes. Step-by-step instructions for using the various features of a graphing calculator or Microsoft® Excel are included in two new appendices.
  • Objective Lists: Every section begins with a brief list of objectives that outline the goals of that section and aid instructors in lesson planning/preparation.

Table of Contents

0. ALGEBRAIC CONCEPTS.
Sets. The Real Numbers. Integral Exponents. Radicals and Rational Exponents. Operations with Algebraic Expressions. Factoring. Algebraic Fractions.
1. LINEAR EQUATIONS AND FUNCTIONS.
Solutions of Linear Equations and Inequalities in One Variable. Functions. Linear Functions. Graphs and Graphing Utilities. Solution of Systems of Linear Equations. Applications of Functions in Business and Economics.
2. QUADRATIC AND OTHER SPECIAL FUNCTIONS.
Quadratic Equations. Quadratic Functions: Parabolas. Business Applications Using Quadratics. Special Functions and Their Graphs. Modeling; Fitting Curves to Data with Graphing Utilities (optional).
3. MATRICES.
Matrices. Multiplication of Matrices. Gauss-Jordan Elimination: Solving Systems of Equations. Inverse of a Square Matrix; Matrix Equations. Applications of Matrices: Leontief Input-Output Models.
4. INEQUALITIES AND LINEAR PROGRAMMING.
Linear Inequalities in Two Variables. Linear Programming: Graphical Methods. The Simplex Method: Maximization. The Simplex Method: Duality and Minimization. The Simplex Method with Mixed Constraints.
5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions. Logarithmic Functions and Their Properties. Solution of Exponential Equations: Applications of Exponential and Logarithmic Functions.
6. MATHEMATICS OF FINANCE.
Simple Interest; Sequences. Compound Interest; Geometric Sequences. Future Value of Annuities. Present Value of Annuities. Loans and Amortization.
7. INTRODUCTION TO PROBABILITY.
Probability; Odds. Unions and Intersections of Events: One-Trial Experiments. Conditional Probability: The Product Rule. Probability Trees and Bayes' Formula. Counting: Permutations and Combinations. Permutations, Combinations, and Probability. Markov Chains.
8. FURTHER TOPICS IN PROBABILITY; DATA DESCRIPTION.
Binomial Probability Experiments. Data Descriptions. Discrete Probability Distributions; The Binomial Distribution. Normal Probability Distribution. The Normal Curve Approximation to the Binomial Distribution.
9. DERIVATIVES.
Limits. Continuous Functions; Limits at Infinity. Rates of Change and Derivatives. Derivative Formulas. The Product Rule and the Quotient Rule. The Chain Rule and the Power Rule. Using Derivative Formulas. Higher-Order Derivatives. Applications: Marginals and Derivatives.
10. APPLICATIONS OF DERIVATIVES.
Relative Maxima and Minima: Curve Sketching. Concavity: Points of Inflection. Optimization in Business and Economics. Applications of Maxima and Minima. Rational Functions: More Curve Sketching.
11. DERIVATIVES CONTINUED.
Derivatives of Logarithmic Functions. Derivatives of Exponential Functions. Implicit Differentiation. Related Rates. Applications in Business and Economics.
12. INDEFINITE INTEGRALS.
The Indefinite Integral. The Power Rule. Integrals Involving Exponential and Logarithmic Functions. Applications of the Indefinite Integral in Business and Economics. Differential Equations.
13. DEFINITE INTEGRALS: TECHNIQUES OF INTEGRATION.
Area Under a Curve. The Definite Integral: The Fundamental Theorem of Calculus. Area Between Two Curves. Applications of Definite Integrals in Business and Economics. Using Tables of Integrals. Integration by Parts. Improper Integrals and Their Applications. Numerical Integration Methods: Trapezoidal Rule and Simpson's Rule.
14. FUNCTIONS OF TWO OR MORE VARIABLES.
Functions of Two or More Variables. Partial Differentiation. Applications of Functions of Two Variables in Business and Economics. Maxima and Minima. Maxima and Minima of Functions Subject to Constraints: Lagrange Multipliers.
Appendix A: Financial Tables.
Appendix B: Areas Under the Standard Normal Curve.
Appendix C: Calculator Guide.
Appendix D: Guide to Excel.

What's New

  • Updated Exercise Sets: Drill exercises throughout the text have been revised and reorganized to improve grading and pairing. In addition, multi-step problems have been revised to give students additional opportunities to interpret results.
  • New Applications: Interesting applications illustrate the relevance of mathematics in business, management, and the life and social sciences. Data-driven applications have been updated or replaced with contemporary applications that address social, environmental, and economic issues. The variety of the application examples and exercises is one of the most appreciated features of this book.
  • Technology: The Technology Notes, Calculator Notes, and Spreadsheet Notes throughout the text have been streamlined. Specific step-by-step instructions for using the various features of a graphing calculator or Microsoft® Excel are now included in two new appendices--Graphing Calculator Guide and Excel Guide. Excel information has been updated to include Excel 2007 and Excel 2010. Technology material remains optional, so instructors and students may skip it without loss of continuity.
  • CourseMate: CourseMate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. Watch student comprehension soar as your class works with the printed textbook and the textbook-specific website. CourseMate goes beyond the book to deliver what you need!

Learning Resource Bundles

Choose the textbook packaged with the resources that best meet your course and student needs. Contact your Learning Consultant for more information.

Bundle: Text + Mathematics CourseMate with eBook Printed Access Card

ISBN-10: 1133798640  | ISBN-13: 9781133798644

List Price = $351.95  | CengageBrain Price = $351.95  | College Bookstore Wholesale Price = $264.25

This Bundle Includes:

  • Mathematical Applications for the Management, Life, and Social Sciences
    List Price = $338.95  | CengageBrain Price = $338.95  | College Bookstore Wholesale Price = $254.25
  • CourseMate Printed Access Card
    List Price = $236.00  | College Bookstore Wholesale Price = $177.00


Bundle: Text + Student Solutions Manual

ISBN-10:  1133798519  | ISBN-13:  9781133798514

List Price = $424.95  | CengageBrain Price = $424.95  | College Bookstore Wholesale Price = $319.50

This Bundle Includes:

  • Mathematical Applications for the Management, Life, and Social Sciences
    List Price = $338.95  | CengageBrain Price = $338.95  | College Bookstore Wholesale Price = $254.25
  • Student Solutions Manual
    List Price = $86.95  | CengageBrain Price = $86.95  | College Bookstore Wholesale Price = $65.25


Bundle: Text + Enhanced WebAssign with eBook LOE Printed Access Card for One-Term Math and Science + Custom Enrichment Module: Enhanced WebAssign - Start Smart Guide for Students

ISBN-10:  1133798160  | ISBN-13:  9781133798163

List Price = $344.95  | College Bookstore Wholesale Price = $259.25

This Bundle Includes:

  • Mathematical Applications for the Management, Life, and Social Sciences
    List Price = $338.95  | CengageBrain Price = $338.95  | College Bookstore Wholesale Price = $254.25
  • Enhanced WebAssign - Start Smart Guide for Students
    List Price = $49.95  | CengageBrain Price = $49.95  | College Bookstore Wholesale Price = $37.50
  • Enhanced WebAssign, 1 term (6 months) Printed Access Card for Applied Math, Single-Term Courses
    List Price = $94.00  | College Bookstore Wholesale Price = $70.50


Printed Text + Enhanced WebAssign Instant Access for Applied Math, Single-Term Courses

ISBN-10:  1305528298  | ISBN-13:  9781305528291

List Price = $344.95  | CengageBrain Price = $344.95  | College Bookstore Wholesale Price = $259.25

This Bundle Includes:

  • Mathematical Applications for the Management, Life, and Social Sciences
    List Price = $338.95  | CengageBrain Price = $338.95  | College Bookstore Wholesale Price = $254.25
  • Enhanced WebAssign Instant Access for Applied Math, Single-Term Courses
    List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00


Bundle: Text + Enhanced WebAssign Printed Access Card for Applied Math, Single-Term Courses

ISBN-10:  1133545696  | ISBN-13:  9781133545699

List Price = $344.95  | College Bookstore Wholesale Price = $259.25

This Bundle Includes:

  • Mathematical Applications for the Management, Life, and Social Sciences
    List Price = $338.95  | CengageBrain Price = $338.95  | College Bookstore Wholesale Price = $254.25
  • Enhanced WebAssign, 1 term (6 months) Printed Access Card for Applied Math, Single-Term Courses
    List Price = $94.00  | College Bookstore Wholesale Price = $70.50


Printed Text + Enhanced WebAssign - Start Smart Guide for Students + Enhanced WebAssign Instant Access for Applied Math, Single-Term Courses

ISBN-10:  1305593324 | ISBN-13:  9781305593329

List Price = $344.95  | CengageBrain Price = $344.95  | College Bookstore Wholesale Price = $259.25

This Bundle Includes:

  • Mathematical Applications for the Management, Life, and Social Sciences
    List Price = $338.95  | CengageBrain Price = $338.95  | College Bookstore Wholesale Price = $254.25
  • Enhanced WebAssign - Start Smart Guide for Students
    List Price = $49.95  | CengageBrain Price = $49.95  | College Bookstore Wholesale Price = $37.50
  • Enhanced WebAssign Instant Access for Applied Math, Single-Term Courses
    List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00


Supplements

All supplements have been updated in coordination with the main title. Select the main title's "About" tab, then select "What's New" for updates specific to title's edition.

For more information about these supplements, or to obtain them, contact your Learning Consultant.

Instructor Supplements

PowerLecture  (ISBN-10: 1133109209 | ISBN-13: 9781133109204)

This CD-ROM provides the instructor with dynamic media tools for teaching, including Microsoft® PowerPoint® lecture slides and figures from the book. Create, deliver, and customize tests (both print and online) in minutes with Diploma® Computerized Testing Featuring Algorithmic Equations. You can also link to Solution Builder's online solutions manual, which allows you to easily build solution sets for homework or exams.

Student Solutions Manual  (ISBN-10: 1133108520 | ISBN-13: 9781133108528)

Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.

List Price = $86.95  | CengageBrain Price = $86.95  | College Bookstore Wholesale Price = $65.25

CourseMate Instant Access  (ISBN-10: 1133510671 | ISBN-13: 9781133510673)

Complement your text and course content with study and practice materials. Cengage Learning’s Liberal Arts Mathematics CourseMate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. Watch student comprehension soar as your class works with the printed textbook and the textbook-specific website. Liberal Arts Mathematics CourseMate goes beyond the book to deliver what you need!

List Price = $236.00  | CengageBrain Price = $236.00  | College Bookstore Wholesale Price = $236.00

Enhanced WebAssign Instant Access for Applied Math, Single-Term Courses  (ISBN-10: 1285857615 | ISBN-13: 9781285857619)

IMPORTANT: When purchasing this instant access code for Applied Math, ensure that you are using it in one of the following courses: Applied Math, Finite Math or Applied Calculus. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If your students need to retake the course and you are using the same book AND edition then they will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your Cengage Learning Consultant.

List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00

Enhanced WebAssign - Start Smart Guide for Students  (ISBN-10: 0495384798 | ISBN-13: 9780495384793)

This guide helps students navigate Enhanced WebAssign. It includes instructions on how to use the Assignment page and its Summary, tips on using MathPad for providing easy input of math notation and symbols, an overview of the Graphing Utility's drawing tools for completing graphing assignments, and information on how to access grades and scores summary.

List Price = $49.95  | CengageBrain Price = $49.95  | College Bookstore Wholesale Price = $37.50

Student Supplements

Student Solutions Manual  (ISBN-10: 1133108520 | ISBN-13: 9781133108528)

Go beyond the answers--see what it takes to get there and improve your grade! This manual provides worked-out, step-by-step solutions to the odd-numbered problems in the text, giving you the information you need to truly understand how these problems are solved.

List Price = $86.95  | CengageBrain Price = $86.95  | College Bookstore Wholesale Price = $65.25

CourseMate Instant Access  (ISBN-10: 1133510671 | ISBN-13: 9781133510673)

The more you study, the better the results. Make the most of your study time by accessing everything you need to succeed in one place. Read your textbook, take notes, review flashcards, watch videos, and take practice quizzes—online with CourseMate.

List Price = $236.00  | CengageBrain Price = $236.00  | College Bookstore Wholesale Price = $236.00

Enhanced WebAssign Instant Access for Applied Math, Single-Term Courses  (ISBN-10: 1285857615 | ISBN-13: 9781285857619)

IMPORTANT: When purchasing this instant access code for Applied Math, ensure that you are using it in one of the following courses: Applied Math, Finite Math or Applied Calculus. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If you need to retake the course and your instructor is using the same book AND edition then you will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your instructor.

List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00

Flash Cards, 1 term (6 months) Instant Access  (ISBN-10: 1285797256 | ISBN-13: 9781285797250)

Flashcards designed to work with your text can help you to review and learn essential terms and key concepts. Interactive flashcards include terms and definitions for each chapter. This is instant access product; at the completion of your purchase, simply go to "My Home" and gain immediate access to your product. Note: If you have purchased CourseMate for your title, flash cards are already included.

List Price = $4.25  | College Bookstore Wholesale Price = $4.25

Quizzing, 1 term (6 months) Instant Access  (ISBN-10: 1285793455 | ISBN-13: 9781285793450)

Interactive practice quizzes designed to work with your text can help you to review and learn essential terms and key concepts. True/false and multiple choice questions are included for each chapter. Check your score and take quizzes again if needed. A reference for where to find more material in the text is included with each answer. This is instant access product; at the completion of your purchase, simply go to "My Home" and gain immediate access to your product. Note: If you have purchased CourseMate for your title, flash cards are already included.

List Price = $5.25  | College Bookstore Wholesale Price = $5.25

Enhanced WebAssign - Start Smart Guide for Students  (ISBN-10: 0495384798 | ISBN-13: 9780495384793)

If your instructor has chosen to package Enhanced WebAssign with your text, this manual will help you get up and running quickly with the Enhanced WebAssign system so you can study smarter and improve your performance in class.

List Price = $49.95  | CengageBrain Price = $49.95  | College Bookstore Wholesale Price = $37.50

Quizzing with Flash Cards, 1 term (6 months) Instant Access  (ISBN-10: 1285789652 | ISBN-13: 9781285789651)

Interactive practice quizzes and flashcards designed to work with your text can help you to review and learn essential terms and key concepts. Flashcards contain terms and definitions for each chapter. Practice quizzes consist of true/false and multiple choice questions for each chapter. Check your score and take quizzes again if needed. A reference for where to find more material in the text is included with each answer. This is instant access product; at the completion of your purchase, simply go to "My Home" and gain immediate access to your product. Note: If you have purchased CourseMate for your title, practice quizzes and flashcards are already included.

List Price = $6.25  | College Bookstore Wholesale Price = $6.25

Meet the Author

Author Bio

Ronald J. Harshbarger

A professor at the University of South Carolina, Ron Harshbarger has worked with Jim Reynolds on MATHEMATICAL APPLICATIONS since the book's inception. Like his co-author, he has taught for over 20 years, at all levels of undergraduate mathematics.

James J. Reynolds

A professor at Clarion University in Pennsylvania, Jim Reynolds has worked with Ron Harshbarger on MATHEMATICAL APPLICATIONS since the book's inception. Like his co-author, he has taught for over 20 years, at all levels of undergraduate mathematics.