Basic Course Materials

Lecture notes
My lecture notes for a graduate class in complex analysis can be found here.
The website associated with the text is here.
Domain coloring
A nice overview is given by Martin Pergler.
I have modified Martin's MATLAB code, and the finished product can be found here. Store both files in the same directory, and run DomainColoringStudent.m.
Hans Lundmark has an extensive overiew.
Larry Crone of American University has several pretty pictures.
Cleve Moller, the founder of MATLAB, has a MATLAB program that can be used to generate plots.
Complex algebra
An applet which demonstrates the algebra of complex numbers can be found here.
Conformal mapping
An interactive conformal mapping applet.
A large selection of internet resources for conformal mapping can be found here.
Sequences and Series
David Little of Penn State has developed a Java applet to compute sequences and series.
David Little of Penn State has developed a Java applet to compute Taylor polynomials.
Hans Lundmark has a demonstration showing the location of the N zeros for the Taylor polynomial of degree N associated with exp(z).
M. Casco Associates have several interesting Java applets. They include:
The Mandelbrot set
The Julia set (generator)
Andreas Klimke has written MATLAB code that can be used to compute Julia sets. The GUI is started from the MATLAB prompt by typing julia_gui.
Argument principle
Terence Tao has developed a demonstration applet.
z-Transform
A MATLAB program which computes the amplitude response, as well as illustrates the argument principle, can be found here.
Computation
A simple online MATLAB tutorial can be found here.
A MATLAB tutorial by Peter Turner of Clarkson University can be found here.
MathWorks has an online tutorial which will help you to get started.
Richard Allen of the University of New Mexico has some online MATLAB help and code. In particular, he has a link to a MATLAB tutorial developed by Monika Nitsche.