Calculus III
Fall 1997
Other resources
Change in location!!! Starting immediately, this
class will meet in CRBL 402/404
Syllabus
Please feel free to come by any time during scheduled
office hours.
You are welcome to
come at other times, but in that case you might want to make
an appointment, just to make sure that I will be there then. You can
make an appointment simply by talking to me before or after class, by
calling me at
my office
or at home, or sending
email.
Textbook:
Multivariable Calculus, McCallum, HughesHallet, Gleason, et. al.,
Chs. 1118.
We will skip a few sections, as announced in class.
The textbook is required at all class meetings.
A Student Solution Manual, consisting of solutions to
approximately every other odd problem, is also available at the bookstore.
Technology:
We will occasionally meet in a computer lab
for you to work on inclass projects using computer graphics. The
emphasis will be on using the computers as tools, not learning any
sort of programming.
The computer lab has extensive open hours, so you may practice and
explore outside of class. I will announce the open hours when I know
them.
You may also have a graphing calculator, such as the TI85 or HP48 in
class at any time, including during tests. A graphing calculator will
only occasionally be useful, though, and you can probably get by
without it. You will however, need at least a scientific calculator
at all class meetings and during tests.
Grades:
 Homework(15%):

Homework will be assigned most class days and will
generally be due at the beginning of
the next class meeting (with exceptions as announced in class).
Late homeworks will
NOT be accepted, but the three lowest individual scores will be dropped.
Some homework may take the form of written group projects; in this case,
every group member will receive the same score. Each of these will
count as two homework assignments.
There will also be inclass group assignments, due at the end of
class. These will each count as half a homework assignment, and
cannot be made up if you are absent.
 Tests (15% each):

There will be three inclass tests on the following days:
 Chs. 11, 12: Fri. 26 Sep.
 Chs. 13, 14: Wed. 22 Oct.
 Chs. 15, 16: Fri. 21 Nov.
NO MAKEUP TESTS (except in EXTRAORDINARY circumstances and with
advance notice), but see ``Exception'' below.
 Final (40%)
 comprehensive (including Chs. 17, 18)
Fri. 12 Dec., 1:003:45 p.m.
 Exception
 Your final exam score will be used in place of your lowest
inclass test score, if this increases your overall class average.
Attendance Policy:
Ontime attendance at all classes is required. If you have more than
three unexcused absences, your overall course grade will be reduced by
seven points; more than six, and you will
be dropped with an F. Unexcused late arrivals or
early departures will count as half an unexcused absence.
I will usually excuse an absence if you tell me about it in advance,
or, in cases of emergencies, as soon as possible afterwards.
Drop date:
The deadline for student initiated drops with an
automatic W is Fri. Oct. 17. There is no longer a separate "faculty
drop date"!
Goal of the course:
The goal of the calculus sequence is to obtain a solid understanding
of the concepts of function, derivative, and integral equally well
from numerical, graphical, and symbolic points of view, and to be able
to express your understanding in written or spoken form, using correct
language and grammar. In dealing with a problem to which calculus is
applicable, you should be able to use whichever point of view is most
effective.
You will also understand when it is appropriate to use technology,
when a purely symbolic approach is more effective, and how to mix the
two.
In this course, we will study differentiation and integration of
functions of several variables, optimization, vectors and vector
fields, and parametric curves.
In all chapters, you will experience openended problems, problems
which require written commentary rather than a string of symbols or
numbers, and problems for which different answers may be equally
correct.
Required Reading: Preface: pages v, vi, xi.
Pay particular
attention to the third bullet on page xi.
More Reading:
Read each section that we cover in class, both before and after class.
The textbook is written in a way designed to make it easier for you to
read and understand than "traditional" textbooks. This doesn't mean
that you can read the text as quickly as, say, a history text; you
still need to work and do examples on your own. We will be spending
some time in class learning how to effectively read a math textbook.
Warning:
Sometimes, I will not "cover" all the material from a section, but
instead focus on a particular aspect of the section. In such cases, I
will point out in class (and at this
website) which other
parts of the section I expect you to read on your own.