[Book Cover]

Calculus for Business, Economics, Life Sciences and Social Sciences, 8/e

Raymond A. Barnett, Emeritus, Merritt College
MIchael Ziegler, Marquette University
Karl Byleen, Marquette University

Published September, 1998 by Prentice Hall Engineering/Science/Mathematics

Copyright 1999, 768 pp.
Cloth
ISBN 0-13-079765-0


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Summary

Appropriate for 1 or 2 term courses in Calculus for students majoring in Business, Economics, Social Sciences or Life Sciences, this text covers calculus with an emphasis on cross-discipline principles and practices. Designed to be both student-friendly and accessible, it develops a thorough, functional understanding of mathematical concepts in preparation for their application in other areas. Coverage concentrates on concepts and ideas, followed immediately by the development of computational skills ideas and problem-solving.

Features


NEW—Contains over 250 numbered worked examples, many with lettered parts, significantly increasing the total number of worked examples.

  • Illustrates each concept with one or more examples and follows each example with a parallel or "matched" problem and answer, allowing immediate self-assessment and reinforcement.
NEW—Strengthens emphasis on exploration and discussion in all drill problems and application exercises.
NEW—Features optional examples and exercises illustrating the use of regression techniques to analyze real data, including both graphing calculator and spreadsheet output.
NEW—Contains more optional technology examples and exercises, especially those using real data.
NEW—Closes chapters with two group activities, one of the two involving technology.
NEW—Reorganizes appendices and adds explore-discuss elements to allow more formal coverage. FEATURES
Prepares students to deal with the topics under discussion when they are encountered in other areas, such as subsequent Economics courses.
Provides the essential mathematical tools needed to effectively pursue courses of study in Business and Economics, Life Sciences, or Social Sciences.
Takes great care in ensuring that content is mathematically correct and accessible to students.
Emphasizes the development of computational skills, ideas, and problem solving over the abstract details of mathematical theory.
  • Omits most derivations and proofs, except where their inclusion adds significant insight into a particular concept.
  • Presents general concepts and results only after particular cases have been discussed.
Includes—as an optional feature—coverage of the mathematics required to use modern technology effectively.
  • Integrates clearly identified examples and exercises related to graphic calculators and computers, illustrations of applications of spreadsheets, and sample computer output—all can be omitted without loss of continuity.
  • Provides optional graphing utility activities at appropriate points in the book, including brief discussions in the text, examples or portions of examples solved on a graphing utility, as well as problems for students to solve.
Offers a vast variety and quantity of relevant, real-world applications, including applied exercises from business and economics, life sciences and social sciences in most sections.
  • Integrates applications into worked examples, exercise sets, discussions, and more.
  • Divides application problems into business and economics, life science, and social science groupings.
Provides a valuable algebra review to reinforce the essential skills necessary for future success.
Contains Explore-Discuss boxes interspersed at appropriate places to encourage students to think about a relationship or process before a result is stated or to investigate additional consequences of a development in the text.
Provides a library of elementary functions in Part I of the text and outlines basic algebraic operations in an appendix.
Introduces limit concepts on an as-needed basis.
Introduces the definite integral as a limit of a Riemann sums, following the more traditional development of integration and emphasizing the understanding of basic concepts.


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

II. CALCULUS.
    3. The Derivative.
    4. Graphing and Optimization.
    5. Additional Derivative Topics.
    6. Integration.
    7. Additional Integration Topics.
    8. Multivariable Calculus.
    9. Trigonometric Functions.
    Appendix A: A Basic Algebra Review Self-Test on Basic Algebra.
    Appendix A-1: Sets.
    Appendix A-2: Algebra and Real Numbers.
    Appendix A-3: Operations on Polynomials.
    Appendix A-4: Factoring Polynomials.
    Appendix A-5: Operations on Rational Expressions.
    Appendix A-6: Integer Exponents and Scientific Notation.
    Appendix A-7: Rational Exponents and Radicals.
    Appendix A-8: Linear Equations and Inequalities in One Variable.
    Appendix A-9: Quadratic Equations.
    Appendix A-10: Sequences, Series, and Summation Notation.
    Appendix A-11: Arithmetic and Geometric Progressions.
    Appendix A-12: The Binomial Theorem.
    Appendix B: Tables.
    Table I: Basic Geometric Formulas.
    Table II: Integration Formulas Answers.
    Index.
    Application Index.
    Library of Elementary Functions.


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