
Applied Calculus for Business, Economics, Life Sciences and Social Sciences, 7/e
Raymond A. Barnett, (Emeritus) Merritt College
Michael R. Ziegler, Marquette University
Karl E. Byleen, Marquette University
Published August, 1999 by Prentice Hall Engineering/Science/Mathematics
Copyright 2000, 941 pp.
Cloth
ISBN 0130831298

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Applied CalculusMathematics

For onequarter or one/twosemester, freshman/sophomorelevel
courses in Elements of Calculus, Elementary Calculus, Calculus for
Business, and Calculus for Biology.
Designed for students majoring in business, economics, social
sciences, or life sciences, this mathematically correct, accessible,
and studentfriendly introduction to applied calculus prepares students
to deal with calculus topics when they are encountered in other
areas. The emphasis throughout is on computational skills, ideas,
and problem solving—rather than on mathematical theory. Most derivations
and proofs are omitted except where their inclusion adds significant
insight into a particular concept, and general concepts and results
are usually presented only after particular cases have been
discussed.
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 regression analysis—Contains
optional examples and exercises illustrating the use of regression
techniques to analyze real data. Includes both graphing calculator
and spreadsheet output.
 Relates the topics in the text to the real world 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 userfriendly guide to the material explored.
NEW—A basic algebra review—Appendix
A concentrates on the essential skills necessary for success.
 Depending on the background of the class, this material
can be used as convenient reference or portions can be covered as
part of the course.
NEW—Additional/revised exercises emphasizing
exploration and discussion—Provides drill problems and applications
to encourage exploration and verbalization of mathematical concepts,
results, and processes, similar to the ExploreDiscuss boxes.
These are distributed among the exercise sets and are easily identified
with exercise numbers in color.
 Gives student a richer mathematical experience and increases
communication skills.
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 realworld 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.
Numerous examples—Contains over 370 numbered worked
examples, many with lettered parts, which significantly increases
the total number of worked examples. Each concept is illustrated with
one or more examples, followed by a “Parallel” or “Matched”
problem of the same type, with an answer near the end of the section
so that students can immediately check their understanding of a concept.
The steps used to solve each example are clearly delineated and done
in enough detail so that students can follow the examples on their
own.
 Increases students' understanding of concepts and mechanics.
Matched Problems actively involve students in the learning
process.
An exceptional variety and quantity of applications—Offers
exercise sets containing simplified application problems from realworld
models carefully selected to reflect the important features of the
application, without being overly difficult or obscuring the nature
of the application.
 Helps students develop mechanical skills and increases
their depth of understanding.
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.
Limits—Rather than spend a great deal of time
at the beginning of the course on this difficult topic, limit concepts
are introduced as needed—e.g., Section 32 develops the limit
properties necessary to find derivatives by the definition, Section
41 discuss continuity and graphs, and Section 44 discusses limits
at infinity and infinite limits.
 Introducing limits concepts as they occur naturally in
the study of calculus makes them more relevant to students and also
easier to understand.
Definite integrals—Introduced as a limit of a
Riemann sums, following the more traditional development of integration
and emphasizing understanding of basic concepts. Discusses approximations
with various types of Riemann sums and some simple error estimation.
 This approach gives students a sound understanding of
basic concepts necessary for applications.
 Increases interest level in mathematics for students.
Ex. ___
Variety and quantity of exercises—Features over
4,800 carefully selected and graded problems divided into A, B, and
C levels of difficulty in each exercise set. Many of these exercises
have lettered parts which significantly increases the total number
of exercises.
Chapter Review exercises and answers—The problems
covered in each chapter are reviewed at the end of the chapter. Answers
to most review problems are in the back of the book, keyed to appropriate
sections. Answers to most other oddnumbered problems are also in
the back of the book. Answers to application problems in linear systems
and linear programming include both the mathematical model and
the numeric answers.
I. LIBRARY OF 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.
8. Multivariable Calculus.
9. Differential Equations.
10. Taylor Polynomials and Infinite Series.
11. Probability and Calculus.
12. Trigonometric Functions.
Appendix A. Basic Algebra Review.
Appendix B. Special Topics.
Appendix C. Tables.
Answers.
Index.
Library of Elementary Functions.
Applications Index.
