This page contains links to the following documents that may be of interest to people studying these topics:
A bibliography on the WZ method. (Note: the book "A=B" by Marko Petkovsek, Herbert S. Wilf, and Doron Zeilberger is now available, and should be added to this list.)
Problem set 1, problem set 2, problem set 3, and problem set 4 (solutions included).