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.
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For one-quarter or one/two-semester, freshman/sophomore-level
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 student-friendly 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 solvingrather 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
NEWGroup activitiesConcludes each
chapter with two group activities, with one actively involving technology.
NEWOptional regression analysisContains
optional examples and exercises illustrating the use of regression
techniques to analyze real data. Includes both graphing calculator
and spreadsheet output.
- Brings material to life for students, making the subject
matter more interactive
NEWMore optional technology examples and
exercises using actual data.
- Relates the topics in the text to the real world and
illustrates one of the basic tools of mathematical modeling.
NEWAppendices with coverage of special
- Helps students understand the use of technology within
the mathematical arena.
NEWA basic algebra reviewAppendix
A concentrates on the essential skills necessary for success.
- Provides a more user-friendly guide to the material explored.
NEWAdditional/revised exercises emphasizing
exploration and discussionProvides drill problems and applications
to encourage exploration and verbalization of mathematical concepts,
results, and processes, similar to the Explore-Discuss boxes.
These are distributed among the exercise sets and are easily identified
with exercise numbers in color.
- 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.
Use of graphing calculatorsIn 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.
- Gives student a richer mathematical experience and increases
Unparalleled topic selection, coverage, and organization.
- Demonstrates for students real-world applications of
technology in math.
An abundance and variety of exercisesWith over
5,500 carefully selected and graded problems.
- Provides instructors with maximum flexibility.
Gives students the essential mathematic tools needed to effectively
pursue courses of study in business, economics, life sciences, and
Numerous examplesContains 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
- Develops students' mechanical skills and increases depth
An exceptional variety and quantity of applicationsOffers
exercise sets containing simplified application problems from real-world
models carefully selected to reflect the important features of the
application, without being overly difficult or obscuring the nature
of the application.
- Increases students' understanding of concepts and mechanics.
Matched Problems actively involve students in the learning
Exploration and Discussion boxes in every sectionEncourages
students to think about a relationship or process before a result
is stated or to investigate additional consequences of a development
in the text.
- Helps students develop mechanical skills and increases
their depth of understanding.
Exercises that encourage exploration and verbalization
of mathematical concepts, results, and processesThese are
distributed among the exercise sets and are easily identified with
exercise numbers in color.
- Increases student involvement in the learning process
and stimulates discussion, both in and out of class.
A Library of Elementary FunctionsIn Part
I. Presents students with a library of elementary functions and
encourages interpretation of mathematical ideas and processes graphically,
numerically, and algebraically.
- Gives students a richer mathematical experience and increases
LimitsRather than spend a great deal of time
at the beginning of the course on this difficult topic, limit concepts
are introduced as needede.g., Section 3-2 develops the limit
properties necessary to find derivatives by the definition, Section
4-1 discuss continuity and graphs, and Section 4-4 discusses limits
at infinity and infinite limits.
- Provides instructor with flexibility by offering Part
I as an option; it can be covered in its entirety or referred to
Definite integralsIntroduced 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.
- Introducing limits concepts as they occur naturally in
the study of calculus makes them more relevant to students and also
easier to understand.
Variety and quantity of exercisesFeatures 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
- This approach gives students a sound understanding of
basic concepts necessary for applications.
- Increases interest level in mathematics for students.
Chapter Review exercises and answersThe 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 odd-numbered 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.
3. The Derivative.
4. Graphing and Optimization.
5. Additional Derivative Topics.
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.
Library of Elementary Functions.