Calculus, Seventh Edition
Changes in the Seventh Edition
Table of Contents: Although the organization of the table of contents is much the same as in
the Sixth Edition, some notable changes are as follows. In an effort to cut back on the length
of the text, Section 3.10 Business and Economic Applications (Appendix G in the Seventh
Edition), Chapter 15 Differential Equations, Appendix A Precalculus Review (Appendix D in
the Seventh Edition), Appendix E Rotation and the General Second-Degree Equation, and
Appendix F Complex Numbers have been moved to the text specific website at
college.hmco.com. Appendix C Basic Differentiation Rules for Elementary Functions has
been removed from the text, however, that material has been kept on the inside front cover of
the text. Although Chapter 15 has been moved from the text, some of the differential
equations topics have been retained and other topics have been expanded in a new Appendix
A (Additional Topics in Differential Equations). Coverage includes slope fields, Euler’s
Method, and first-order linear differential equations.
The chapter openers have been redesigned as two-page spreads in the Seventh Edition.
Included in the chapter openers is a featured real world application designed to motivate the
calculus topics of the chapter. (The applications are from Motivating the Chapter in the Sixth
Edition.) Photos and interesting facts related to the featured application are also included in
the chapter opener.
Each section in the Seventh Edition now begins with a set of objectives for the section. These
objectives are in lieu of the section topics.
All real data in examples has been updated or replaced with new data.
More step-by-step comments have been added to examples where appropriate.
Pairing and grading of exercises has been improved.
Correlation of exercises to section examples has been improved.
A new two-page collection of applied and theoretical exercises called P.S. Problem Solving
has been added to the end of each chapter. Chosen because they have some unusual
characteristic that sets them apart from “typical” calculus problems, these applied and
theoretical exercises offer an additional set of rigorous problems that extend section concepts.
A new feature, Getting at the Concept, has been added to each section exercise set. This
feature is generally located midway through the exercise set and contains problems that check
a students’ understanding of the basic concepts presented in the section.
The chapter review exercises have been reorganized by text section in the Seventh Edition.
The purpose of this reorganization is to provide a more effective study tool for students and a
convenient way for instructors to identify exercises related to content/sections covered within
the chapter when assigning problems for review.
Printable enlargements of graphs contained in exercise sets in which students are asked to
draw on the graph can be accessed and printed from the website www.mathgraphs.com.
The journal articles referenced in the For Further Information feature have been compiled
and made available on the website www.matharticles.com.
When planning homework assignments, you should note that there have been changes made
to the exercise sets in addition to those noted above. These changes include new skill,
concept, applied, and theoretical problems (approximately twenty percent of the exercises are
new), updated applications, and deleted exercises. In some instances, minor changes have
been made in the directions and in the exercises that have been retained from the Sixth
Edition. Note that organizational changes have also occurred within exercise sets.
A new icon has been included to indicate text examples that are related to extended
explorations found in the interactive and the internet versions of the text.
The labs referenced in the text have been made available in PDF format on the text specific