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.
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Applied Calculus with Graphing Calculators-Mathematics
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
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,
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
Develops the definite integral numerically and geometrically
in terms of both area and rates of change before considering methods
Uses slope fields to explore the geometric, numerical, and
algebraic features of solutions of differential equations before considering
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.
I. A LIBRARY OF ELEMENTARY FUNCTIONS.
1. A Beginning Library of Elementary Functions.
2. Additional Elementary Functions.
3. The Derivative.
4. Graphing and Optimization.
5. Additional Derivative Topics.
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.