Preface xiii
for calculus students, while mentioning deeper or subtler issues they would study in a
more advanced course. Our organization and distinctions between informal and formal
discussions give the instructor a degree of flexibility in the amount and depth of coverage
of the various topics. For example, although we do not prove the Intermediate Value Theo-
rem or the Extreme Value Theorem for continuous functions on a closed finite interval,
we do state these theorems precisely, illustrate their meanings in numerous examples, and
use them to prove other important results. Furthermore, for those instructors who desire
greater depth of coverage, in Appendix A.7 we discuss the reliance of these theorems on
the completeness of the real numbers.
Writing Exercises Writing exercises placed throughout the text ask students to explore
and explain a variety of calculus concepts and applications. In addition, the end of each
chapter includes a list of questions that invite students to review and summarize what they
have learned. Many of these exercises make good writing assignments.
End-Of-Chapter Reviews In addition to problems appearing after each section, each
chapter culminates with review questions, practice exercises covering the entire chapter,
and a series of Additional and Advanced Exercises with more challenging or synthesizing
problems.
Writing And Applications This text continues to be easy to read, conversational, and
mathematically rich. Each new topic is motivated by clear, easy-to-understand examples
and is then reinforced by its application to real-world problems of immediate interest to
students. A hallmark of this text is the application of calculus to science and engineering.
These applied problems have been updated, improved, and extended continually over the
last several editions.
Technology In a course using this text, technology can be incorporated according to
the taste of the instructor. Each section contains exercises requiring the use of technology;
these are marked with a
T
if suitable for calculator or computer use, or they are labeled
Computer Explorations if a computer algebra system (CAS, such as Maple or Math-
ematica) is required.
Acknowledgments
We are grateful to Duane Kouba, who created many of the new exercises. We would also
like to express our thanks to the people who made many valuable contributions to this edi-
tion as it developed through its various stages:
Accuracy Checkers
Jennifer Blue
Thomas Wegleitner
Reviewers for the Fourth Edition
Scott Allen, Chattahoochee Technical College
Alessandro Arsie, University of Toledo
Doug Baldwin, SUNY Geneseo
Imad Benjelloun, Delaware Valley University
Robert J. Brown, Jr., East Georgia State University
Jason Froman, Lamesa High School
Morag Fulton, Ivy Tech Community College
Michael S. Eusebio, Ivy Tech Community College
A01_HASS5540_15_SE_FM.indd 13 03/11/2018 05:24
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