[Book Cover]

Applied Mathematics for Business, Economics, Life Sciences and Social Sciences, 7/e

Raymond A. Barnett, (Emeritus) Merritt College
Michael R. Zieger
Karl E. Byleen, both of Marquette University

Published August, 1999 by Prentice Hall Engineering/Science/Mathematics

Copyright 2000, 1203 pp.
Cloth
ISBN 0-13-083120-4


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Summary

For two-term, or condensed one-term, freshman/sophomore-level courses in finite math and calculus. Written in a student-friendly format, this text prepares students to understand finite mathematics and calculus used in a wide range of disciplines. Covering relevant topics from finance, linear algebra, programming, and probability, the Seventh Edition places emphasis on computational skills, ideas, and problem solving. Other highlights include a rich variety of applications and integration of graphing calculators.

Features


NEW—Group activities—Concludes each chapter with two group activities, with one actively involving technology.

  • Brings material to life for students, making the subject matter more interactive
NEW—Optional coverage of regression analysis—Contains optional examples and exercises illustrating the use of regression techniques to analyze real data. Both graphing calculator and spreadsheet output are included.
  • Relates the topics in the text to the real world for students and illustrates one of the basic tools of mathematical modeling.
NEW—More optional technology examples and exercises using actual data.
  • Helps students understand the use of technology within the mathematical arena.
NEW—Appendices with coverage of special topics.
  • Provides a more user-friendly guide to the material explored.
Use of graphing calculators—In optional examples, exercises in technology, illustrations of applications of spreadsheets and sample computer output— A Graphing Calculator Manual is available for those who want extensive coverage of these devices.
  • Demonstrates for students real-world applications of technology in math.
Unparalleled topic selection, coverage, and organization.
  • Provides instructors with maximum flexibility. Gives students the essential mathematic tools needed to effectively pursue courses of study in business, economics, life sciences, and social sciences.
An abundance and variety of exercises—With over 5,500 carefully selected and graded problems.
  • Develops students' mechanical skills and increases depth of understanding.
Over 420 numbered worked examples—Illustrates each concept with one or more examples; and following each example is a Parallel or Matched problem with an answer near the end of the section enabling students to immediately check their understanding of concepts.
  • Actively involves students in the learning process and increases understanding of concepts and mechanics. Ex. ___
An exceptional variety and quantity of applications—Offers exercise sets containing simplified application problems from real-world models carefully selected to reflect the important features of the application, without being overly difficult or obscuring the nature of the application.
  • Increases interest level in mathematics for students. Ex. ___
An emphasis on construction of mathematical model—Especially in linear systems and linear programming. Linear programming is treated thoroughly, including simplex, dual, big M, and two phase methods utilizing slack, surplus, and artificial variables. The Supplemental Applications and Topics manual contains additional coverage in this area.
  • Introduces students to applications where the solution of the mathematical model must be carefully interpreted to find the solution of the real-world problem, preparing them to deal with this topic in higher level courses.
Exploration and Discussion boxes in every section—Encourages students to think about a relationship or process before a result is stated or to investigate additional consequences of a development in the text.
  • Increases student involvement in the learning process and stimulates discussion, both in and out of class.
Exercises that encourage exploration and verbalization of mathematical concepts, results, and processes—These are distributed among the exercise sets and are easily identified with exercise numbers in color.
  • Gives students a richer mathematical experience and increases communication skills.
A Library of Elementary Functions—In Part I. Presents students with a library of elementary functions and encourages interpretation of mathematical ideas and processes graphically, numerically, and algebraically.
  • Provides instructor with flexibility by offering Part I as an option; it can be covered in its entirety or referred to as needed.
Introduction of limit concepts as needed.
  • Makes this topic more relevant to students and easier to understand.
Introduction of the definite integral as a limit of a Riemann sums—Follows a more traditional development of integration and emphasizes understanding of basic concepts.
  • Gives students a sound understanding of basic concepts necessary for applications.
An abundance of pedagogical features—Includes annotated examples, dotted “think” boxes, matched problems, graded exercise sets, chapter reviews, chapter review exercises and answers, boldface type identifying key terms, boxed material, and screened material.
  • Brings material to life for students and makes subject matter more tangible and easier to retain.


Table of Contents
I. A LIBRARY OF ELEMENTARY FUNCTIONS.
    1. A Beginning Library of Elementary Functions.
    2. Additional Elementary Functions.

II. FINITE MATHEMATICS.
    3. Mathematics of Finance.
    4. Systems of Linear Equations; Matrices.
    5. Linear Inequalities and Linear Programming
    6. Probability.
    7. Markov Chains.
III. CALCULUS.
    8. The Derivative.
    9. Graphing and Optimization.
    10. Additional Derivative Topics.
    11. Integration.
    12. Additional Integration Topics.
    13. Multivariable Calculus.
    14. Differential Equations.
    15. Probability and Calculus.
    Appendices.
    Answers.
    Index.
    Library of Elementary Functions.


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