Course Description:
This course, the third in the Calculus sequence, is intended to provide
students majoring
in the physical sciences with the mathematical tools and concepts needed to
complete their
course work in other topics. The main emphasis of Calculus III lies in shifting
from the study
of analytic geometry in the plane (two-dimensional) to that of higher
dimensions, involving
vector-valued and multivariate functions.
The first part of this course is almost purely geometric, involving hardly any
differential or
integral calculus, covering vectors, lines and planes in three dimensions, and
graphing techniques
for three-dimensional coordinate systems. The next part of the course covers
vector-valued and
multivariate differential calculus, and the last part of the course covers
multiple integration and
vector-valued integral identities. An argument could be made that the whole
point of studying
calculus (at least, for the engineering or applied physics major) is to get to
the topics we will
cover at the end of this course.
Course Prerequisites:
MATH 1910 (Differential Calculus) and MATH 1920 (Integral Calculus).
Text:
Calculus: Early Transcendentals (sixth edition),
James Stewart (McMaster University),
published by Thomson Brooks/Cole (2008 Belmont PA), ISBN 978-0-495-01172-9
Note: make sure you get the complete text – the bookstore also carries a
textbook
which contains only the material needed for Calc I and Calc II.
Course Content:
Chapters 12 through 16 from the text.
Web Resources:
Professor Stewart's Web Site
Dr. Dwiggins's
Home Page
Class Meetings:
10:20 – 11:15 MWF, 9:45 – 10:40 Thursdays, Dunn Hall, Room 249
Instructor:
D. P. Dwiggins, PhD (send e-mail: ddwiggns@memphis.edu)
Office:
Room 368, Dunn Hall (third floor)
Hours:
9:15-10:15 a.m. Monday through Friday
Monday and Wednesday afternoon hours available upon request.
Telephone:
678-4174
Course Evaluation:
There will be five 50-point tests and eight 15-point homework assignments.
The five tests give a total of 250 points, which you will increase to 300 by
either
(a) counting the highest test twice (for those of you choosing not to turn in
homework)
or (b) dropping the lowest test score and then adding in your homework average.
Grade Calculation:
The final exam is also worth 100 points which, along with the tests and/or
homework,
gives a total of 400 points. Divide the resulting total by 4 to obtain the
semester average,
with grades assigned according to the Grade Scale
.
Make-Up Policy:
Three-day make-up (with excuse) for missed test or exam.
Attendance Policy:
As needed for purposes of reporting to the University.