[Book Cover]

Essentials of College Mathematics for Business, Economics, Life Sciences and Social Sciences, 3/e

Raymond A. Barnett, (Emeritus) Merritt College
Michael R. Ziegler, Marquette University

Published August, 1994 by Prentice Hall Engineering/Science/Mathematics

Copyright 1995, 745 pp.
Cloth
ISBN 0-02-305931-1


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Summary

The latest addition to the Barnett & Ziegler's acclaimed College Mathematics Series For Business, Economics, Life Sciences, and Social Sciences, this text offers an outstanding algebra review, detailed coverage of finite mathematics— and sound treatment of both differential and integral calculus. This edition offers thorough coverage of the graphing calculator and computer through optional exercises and supplements.

Features


the largest, most varied selection of applications available will convince even the most skeptical student that mathematics is useful.
over 300 worked examples are included in the text, presented in Barnett & Ziegler's trademark example-solution-matched problem format to encourage active learning.
includes over 3,800 carefully selected and accurate problems divided into A,B, and C levels of difficulty within each exercise set.
carefully selected and organized topics are structured to provide the instructor with maximum flexibility in selection of course material, with a Chapter Dependency Chart included in the Preface.

  • a thorough introduction to the simplex method for solving linear programming problems emphasizes the relationship between the graphical and algebraic methods.
  • limits are introduced in an intuitive manner with an emphasis on graphical interpretations.
  • defines the definite integral in terms of antiderivatives and area function. Development of properties of the definite integral and their relationship to Riemann sums culminates with the fundamental theorem of calculus, providing a mathematically sound treatment that proceeds to applications of the definite integral as quickly as possible.
  • graphing techniques are thoroughly covered, and students are provided with a strong set of tools to use in graphing functions.
added optional graphics calculator and computer exercises give the student excellent hands-on practice.
revised topical coverage:
  • the review of basic set theory has been moved up to chapter one from the appendix, providing a strong grounding in material that is used throughout the book, extensively in chapters 7 and 8.
  • expanded coverage of counting techniques—now including sets and Venn diagrams—is presented in two sections as opposed to one.
  • rewritten and expanded section on factoring polynomials now includes applications of the quadratic formula to factoring second-degree polynomials.
  • material on inverse matrices and systems of equations is now presented in two sections.


Table of Contents
I. PRELIMINARIES.
    1. Basic Algebraic Operations.
    2. Equations, Graphs, and Functions.
    3. Exponential and Logarithmic Functions.

II. FINITE MATHEMATICS.
    4. Mathematics of Finance.
    5. Systems of Linear Equations; Matrices.
    6. Linear Inequalities and Linear Programming.
    7. Probability.
    8. Additional Topics in Probability.
III. CALCULUS.
    9. The Derivative.
    10. Additional Derivative Topics.
    11. Integration.
    Appendix A: Special Topics.
    Appendix B: Tables.
    Answers.
    Index.
    Applications.


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