Calculus III
Spring 2004
Other resources
Syllabus
Please feel free to come by my office 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 by sending
email.
You may also ask any questions directly via phone or email. If I'm
not in when you call, please leave a message on the voicemail or
answering machine with your name, number, and a good time for me to
call you back. I will try to respond to your phone or email message
as soon as possible.
Course Objectives:
Upon successful completion of the course, you will be able to
represent functions of two or three variables, and vectorvalued
functions, and their derivatives and integrals numerically,
graphically, and symbolically, and be able to interpret such
representations. You will be able to compute derivatives and
integrals symbolically, and estimate them graphically and numerically.
Note that with functions of more than one variable, there is a greater
variety of "derivatives'' (partial derivative, directional
derivative, gradient vector) than there was with functions of one
variable in Calculus I and II. Similarly, there are new wrinkles in
integration, especially with setting up limits of definite integrals.
Our study of vectorvalued functions will culminate with the
calculation of line integrals.
You will be able to set up and solve problems which require
understanding and use of derivatives and integrals. You will be able
to solve 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.
Textbook:
CALCULUS Single and Multivariable, 3rd ed., McCallum, HughesHallet, Gleason, et. al.,
Chs. 1218,
through section
18.2, and skipping sections 12.6, 14.8, 16.6, 16.7, and 17.5.
The textbook is required at all class meetings.
Required Reading:
Read each section that we cover in class, both before and after class.
Skim the section before class, even if you don't understand it fully,
to have some idea of what we'll be doing in class. Read it more
carefully after class to clarify and fill in details you missed in
class.
This textbook is written in a way designed to make the
mathematical ideas more understandable  if you put in the effort to
read it carefully. This doesn't mean that you can read the text as
quickly as, say, a history text; you still need to work problems 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.
Technology:
You may have a graphing calculator, such as the TI89, 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%):

Individual homework will be assigned most class days and will
generally be due at the next class (with exceptions as announced in class).
You are allowed to work together on homework (in fact, I
encourage you to do so), but the paper you turn in you must write
yourself. Homework is due at the beginning of class (12:30
sharp); if you cannot make it to class, arrange to either deliver the
homework to me early, or have someone else bring it to class for you.
Your three lowest individual homework scores will be dropped.
Some homework may take the form of weeklong group projects and require a
single written report. In this case, every group member will receive the
same score. Each of these will count as two homework assignments.
 Tests (15% each):

There will be three inclass tests on the following days:
 Chs. 12, 13: Fri. 13 Feb.
 Chs. 14, 15: Fri. 12 Mar.
 Ch. 16: Wed. 7 Apr.
Makeup tests can be given only in extraordinary and unavoidable
circumstances, and with advance notice. (See also ``Exception''
below.)
 Final (40%)
 comprehensive (including Chs. 17, 18)
Fri. 7 May, 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. In
particular, if you miss a test, your final exam score will replace it.
Attendance Policy:
I strongly encourage you to attend every class, though there is no
particular grade penalty for absences. My goal is for class meetings and
activities to complement, rather than echo, the textbook, and thus for
every class to be worth attending.
Drop date:
The deadline for studentinitiated drops with a W is Mon., 8 Mar. After
this date, you can only drop with the Dean's approval, which is granted
only under extenuating circumstances.
I hope everyone will complete the course successfully, but if you are
having doubts about your progress, I will be happy to discuss your
standing in the course to help you decide whether or not to drop.
You are only allowed three enrollments in this
course, so please exercise the drop option judiciously.