Home page for Section 1 of Math 403 in Spring 1999
A list of the students in the class
An archive of messages I've sent to the class.
Here's a record of a Maple session dealing
with uniform convergence and integration.
Here are review problems (with two typos corrected!), and the first
exam with answers. The grades on the first exam ranged from 25 to 91.
Here also are review problems for the final exam. And now, here is the
final exam, presented in a somewhat compactified format, and also with
several small improvements in wording and a correction in a problem
statement. The grades on the final exam ranged from 96 to 171.
Advice about format Current web standards do not
include widely implemented ways of handling mathematical notation, and
therefore several alternatives are offered.
gif Gifs are generally accepted by browsers. File size
is not large so network transmission isn't usually long, but the
images (especially for tiny
mathematical symbols!) can be unsatisfactory: small and fuzzy.
Postscript The images are better, but files are larger so
transmission times are apt to be perceptibly longer, and sometimes
browsers aren't equipped to handle Postscript. Important A
very nice printed version can be produced from the Postscript
file, so learning how to print such files may be worthwhile. Such
information is site-specific: ask your local computer guru.
Some relevant links
- A website created by Professor Doug Arnold of Penn State with some neat
pictures in either animated GIF
format or as Java applets.
A website created by Professor Terence Tao of UCLA with some very nice Java
The University of British Columbia has created this Java applet to look at certain functions.
Some students may be familiar with MATLAB. Here is a page created by
Professor John Polking of Rice University with an m-file (a MATLAB
program) for sketching complex mappings.
Professor David Joyce of Clark University allows you to create lovely
pictures of Mandelbrot and Julia sets. He also has some other
interesting pages, including pictures of
Newton's method in the complex plane.
Material I wrote for a graduate course which attempts to explain some
complex analysis results using methods not from complex analysis,