[Book Cover]

Calculus with Technology for Business, Economics, Life and Social Sciences, 1/e

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

Published December, 1996 by Prentice Hall Engineering/Science/Mathematics

Copyright 1997, 764 pp.
Cloth
ISBN 0-13-568205-3


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    Applied Calculus with Graphing Calculators-Mathematics


Summary

Preparing students to deal with a variety of calculus topics, this carefully thought out, well-organized book provides the essential mathematical tools needed to effectively pursue courses of study in business and economics, life science, or social sciences. Focusing on computational skills, ideas, and problem solving, it deals with the mathematics required to use such modern technology as graphic calculators and computers, and considers the interplay between geometric, algebraic, and numerical ideas - encouraging students to verbalize these concepts.

Features


Text is written with the understanding that students have access to a graphing utility, although the text does not require one particular device. Rather, emphasis is placed upon helping the student identify when to use a graphing utility to solve a problem by presenting problem-solving techniques that will take advantage of this technology.
Emphasizes concepts and verbalization while presenting technology as an important tool for graphical analysis. Presents graphing concepts in two levels: 1) sketching and verbally describing graphs based on information about the function, and 2) using technology to analyze graphs based on an equation.
Intersperses Explore-Discuss boxes in every section, prompting students to think about a relationship or process before a result is stated.
Presents a library of elementary functions that helps students view mathematical ideas and processes graphically, numerically, and algebraically.
Presents over 3,400 carefully selected and graded problems divided into three levels of difficulty to increase depth of understanding.
Introduces the derivative as a rate of change, leading to a natural development of limits, utilizing graphs, tables, and algebra simplification.
Develops the definite integral numerically and geometrically in terms of both area and rates of change before considering methods of evaluation.
Uses slope fields to explore the geometric, numerical, and algebraic features of solutions of differential equations before considering solution techniques.
Bolsters understanding with a wealth of varied exercises, with most sections containing simplified real-world models and applied exercises from business and economics, life sciences, and social sciences.
Contains over 240 numbered and worked examples throughout.

  • Illustrates each concept with one or more examples, and follows each example with a parallel or 'matched' problem with an answer provided near the end of the section for easy reference.


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. Differential Equations.
    10. Trigonometric Functions.
    Appendix A. Tables: I. Basic Geometric Formulas. II. Integration Formulas. III. Area Under the Standard Normal Curve.


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