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Cover image for Mathematics with applications in the management, natural, and social sciences
Title:
Mathematics with applications in the management, natural, and social sciences
Personal Author:
Edition:
8th ed.
Publication Information:
Boston, Mass. : Addison Wesley, 2003
ISBN:
9780201755299
Subject Term:
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30000010019256 QA37.2 L53 2003 Open Access Book Book
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Summary

Summary

Best known for realistic and varied applications, an abundance of helpful pedagogy, and solid algebra review, the new edition of this text offers updated and new applications, and increased optional graphing calculator technology. - NEW New full color design is used pedagogically for clearer understanding of figures and concepts. - NEW MyMathLab is now available for this text for the first time. All of the texts many electronic resources can be found on MyMathLab. - NEW MathXL is now available for the text, allowing students to take tests and quizzes online. - NEW A Finite Version of the text is now available, which includes Chapters 1-10. - Applications. A wide variety of realistic and timely applications are featured, both in text examples and problem sets. Many are based on real data cited from journals and periodicals. Application problems are labeled by subject: management, social science, natural science, or physical science. An Index of Applications groups applications by these categories. - Case Studies. Chapter-ending case studies based on real data give students the opportunity to further apply all theyve learned in the chapter. - Technology Tips. For those who choose


Author Notes

Marge Lial was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, is now affiliated with American River College.

Marge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.

Thomas W. Hungerford received his bachelor s degree from Holy Cross and his Ph.D. from the University of Chicago. He taught for seventeen years at the University of Washington (Seattle) before coming to Cleveland State University, where is he is professor of mathematics. He has written a number of research articles in algebra and several in mathematics education. Dr. Hungerford is the author or co-author of more than a dozen mathematics textbooks, ranging from high school to graduate level, several of which are published by Addison-Wesley. He is active in promoting the use of technology in mathematics instruction and was one of the founders of the Cleveland Collaborative for Mathematics Education (C2ME), an ongoing project involving local universities, businesses, and mathematics teachers. Dr. Hungerford is also a referee and reviewer for various mathematical journals and has frequently served on National Science Foundation panels for selecting grant recipients.


Table of Contents

1 Algebra and Equations
The Real Numbers
Polynomials
Factoring
Rational Expressions
Exponents and Radicals
First-degree Equations
Quadratic Equations
2 Graphs, Lines, and Inequalities
Graphs
Equations of Lines
Linear Models (new section)
Linear Inequalities
Polynomial and Rational Inequalities
3 Functions and Graphs
Functions
Graphs of Functions
Applications of Linear Functions
Quadratic Functions
Applications of Quadratic Functions
Polynomial Functions (including polynomial regression models)
Rational Functions
4 Exponential and Logarithmic Functions
Exponential Functions
Applications of Exponential Functions (including exponential regression models)
Logarithmic Functions
Logarithmic and Exponential Functions
5 Mathematics of Finance
Simple Interest and Discount
Compound Interest
Future Value of an Annuity and Sinking Funds
Present Value of an Annuity and Amortization
6 Systems of Linear Equations and Matrices
Systems of Linear Equations
The Gauss-Jordan Method
Basic Matrix Operations
Matrix Products and Inverses
Applications of Matrices
7 Linear Programming
Graphing Linear Inequalities in Two Variables
Linear Programming: The Graphical Method
Applications of Linear Programming
The Simplex Method: Maximization
Maximization Applications
The Simplex Method: Duality and Minimization
The Simplex Method: Nonstandard Problems
8 Sets and Probability
Sets
Applications of Venn Diagrams
Introduction to Probability
Basic Concepts of Probability
Conditional Probability and Independent Events
Bayes' Formula
9 Counting, Probability, Distributions, and Further Topics in Probability
Permutations and Combinations
Applications of Counting
Binomial Probability
Probability Distributions and Expected Value
Markov Chains
Decision Making
10 Introduction to Statistics
Frequency Distributions and Measures of Central Tendency
Measures of Variation
Normal Distributions
Normal Approximation to the Binomial Distribution
11 Differential Calculus
Limits
Rates of Change
Tangent Lines and Derivative
Techniques for Finding Derivatives
Derivatives of Products and Quotients
The Chain Rule
Derivatives of Exponential and Logarithmic Functions
Continuity and Differentiability
12 Applications of the Derivative
Derivatives and Graphs
The Second Derivative
Optimization Applications
Curve Sketching
13 Integral Calculus
Antideriviatives
Integration by Substitution
Area and the Definite Integral
The Fundamental Theorem of Calculus
Applications of Integrals
Tables of Integrals (Optional)
Differential Equations
14 Multivariate Calculus
Functions of Several Variables
Partial Derivatives
Extrema of Functions of Several Variables
Appendix A Graphing Calculators
Appendix B Tables
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