**
Description: **
This is the third quarter of a series
on calculus
and analytic geometry. The first two quarters,
Math 20A and 20B, focussed largely on real valued functions
of one variable. In contrast, this course includes the study of
vector valued
functions and functions of more than one variable (namely, two and
three variables).
The geometric aspects of the course will include
the study of curves and surfaces in two and three dimensions.
We shall develop tools for describing and analyzing these geometric objects,
including vectors and calculus for functions of several variables.
We shall cover most of chapters 9, 11, 12, 13, and Appendix H
of the required textbook: Calculus, Early Transcendentals, 3rd Edition, by
James Stewart, Brooks/Cole Publishing Company.

** Homework: **
Homework will be assigned in class and
will be collected weekly at the beginning of each recitation
section by your TA. (Recitation sections are on Tuesdays.)
Homework will count for 10% of your grade.
No late homework will be accepted.
Click here to see homework assignments.

** Computer modules: **
The computer packages Matlab and Mathematica are available to assist
students with
visualizing surfaces and curves in two and three dimensions.

* Mathematica:* A Mathematica notebook containing
some examples can be downloaded by clicking here.
A second notebook, which includes the first notebook and which
also graphs
implicitly defined
functions and graphs in cylindrical and spherical coordinates, can be obtained
by clicking here.
A third notebook which illustrates
symbolic partial differentiation
and solutions of equations involving partial derivatives
may be obtained by clicking here.
* Matlab: * A primer
on Matlab is available by clicking here.

A guide to printing in the
Mac lab is available by clicking here.

A demonstration of Matlab and Mathematica will be given
in the computer labs in the basement of AP&M on Wednesday,
April 28.
Mathematica demo (in INTEL lab): 5-6 p.m., Matlab demo
(in Mac lab): 6-7 p.m.

** Exams: **
There will be two midterms in class, the first on Wednesday, April 21 and
the second on Wednesday, May 19. Each midterm will count for
20% of the course grade.
The final exam for all sections will be held Wednesday, June 9, 1999,
11.30--2.30 p.m. in Peterson Hall 110
and will
count for 50% of the course grade. Also, to pass the course,
one must pass the final exam.
Click here to obtain more details about the midterms
and final as they are announced.

** Final course grade: ** The final grade will be computed as follows:
homework (10%), 2 midterm exams (20% each), final exam (50%). Also,
to pass the course, a pass must be obtained on the final exam.