Calculus III
Spring 1996
Other resources
 New!
The graphing software packages mpp and mpp3d
have been installed in the Bell Hall Technology Center (located in the
annex to Bell Hall). This will be particularly useful for the vector
fields we will be looking at for the rest of the semester.
 Homework assignments
 Tests (none yet)
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, and we may start Ch.
19. The textbook is required at all class meetings.
A Student Solution Manual, consisting of solutions to
approximately every other odd problem, is for sale at the bookstore.
Calculators:
Each student must have a graphing
calculator with capabilities equivalent to the TI85 .
The calculator is required at all class meetings and exams.
Some programs for the TI85 will made available in class. You may
have any programs you wish in your calculators during exams
and you may bring your calculator manual to exams. Failure
to have certain programs in your calculator may put you at a distinct
disadvantage on an exam. If using the TI85, you should be familiar
with the GRAPH, CALC, LIST,
PRGM, and SOLVER keys.
You will also use computers on campus or at home to graph surfaces.
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).
About half of the problems from each homework set will be selected for
grading and the score on the selected problem(s) will determine the
grade for that homework set.
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 (depending on
which section you are in):
 Chs. 11, 12: Wed./Thu. 14/15 Feb.
 Chs. 13, 14: Wed./Thu. 13/14 Mar.
 Chs. 15, 16: Wed./Thu. 17/18 Apr.
NO MAKEUP TESTS (except in EXTRAORDINARY circumstances and with
advance notice), but see ``Exception'' below.
 Final (40%)
 comprehensive (including Chs. 17, 18)
Fri 10 May, 4:006:45 p.m. (Mon/Wed section)
Tue 14 May, 10:0012:45 p.m. (Tue/Thu section)
 Exception
 The final exam score will be used in place of the lowest
inclass test score, if this increases the overall class average.
Attendance Policy:
Ontime attendance at all classes is required. I will not be
checking attendance, but there will be inclass assignments (see
"Homework" above) that you cannot make up if you miss class.
Drop policy:
The deadline for student initiated drops with an
automatic W is Fri. Feb. 23. From then until Fri. Apr. 19,
you can drop the course by consulting me.
To drop with a W requires a
D average on the tests taken to that point, but
I will also drop you with a W, even if your average is below a
D, if
you discuss your situation with me immediately after the test that
brings your average below a D.
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 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.
The textbook is intended to be read. In full. Pay particular
attention to the third bullet on page xi. Read each
section that we cover in class, both before and after class.
Fair Warning:
The approach of this course to
calculus is intended to be different. If you have had a calculus
course already, you will probably find much that is unfamiliar and a very
different emphasis on things you may think you know already. Be alert
to this and remember that previous experience is unlikely to be
enough to coast on. Treat each topic as if you were meeting it for
the first time, and be alert to make sure you understand each day's
material before the next class meeting.
HELP:
Since this is only the second semester that Calculus III has
been taught this way (including the use of a graphing calculator), it
is likely to be more difficult than usual to obtain help with the
course material from sources outside the department of mathematical
sciences. There is help available to you provided you are
willing to take advantage of it.
my office:
I will be glad to meet with you, in addition to office hours, at any
time that I do not have to be somewhere else. You may wish to make an
appointment to be sure that I will be in my office when you are
coming, but you do not need to. My entire schedule is on my office door.
Ms. Leticia Monsivais (Bell 216)
is the teaching assistant for (the Mon/Wed section of) the course. She will
attend some class meetings, and grade the homework. She will also
hold office hours: Tue, Thu 11:0011:50.
Mr. Alan Mabry (Bell 141, 7475884)
is the teaching assistant for (the Tue/Thu section of) the course. He
will grade the homework and hold office hours: Fri 11:3012:30.
Dr. Guthrie (Bell 124)
is teaching a similar section of
Calculus III (same text, use of calculators, etc.), and will be available
to help during his office hours, which are MWF 10:3011:00.
each other!:
It is the intent of the
course to require some group activities, which will enable you to get
to know each other and form study groups on your own.
(See also the list of office hours
for the people mentioned above.)
Calculator:
Some training on the TI85 will be given in class, and some help with
the TI82 or HP48G may be available, but we will spend as little
time as possible in class on formal calculator training. I will be
glad to help you with the calculator outside of class.
I am not an expert on the calculator (or the graphing software for the
computer), and I hope and expect that soon many of you will know more
about it than I do. Please let me know if you figure out anything
interesting!