The basic object of study is a class of functions defined on a region in the plane, taking values in the plane. Consequently the major prerequisite for the course is multi-variable calculus. However, unlike that subject which in its generality has little coherence, complex analysis limits its view to the class of holomorphic or analytic functions. Each of these functions individually has important and properties that give it substance, and the class of all such functions has attributes that provide a certain rigidity that is very useful.
All in all, complex analysis is one of the most beautiful parts of mathematics. It is filled with surprises in itself, and its applications to other parts of mathematics and to other areas of science and engineering are many and exciting.
In order to use holo on an owlnet workstation, you will have register your computer in Math 211. To do this enter register math427 at the UNIX prompt. You will then have to log out of owlnet and log back in before the needed change to your computer environment will take place.
If you want to use holo on your home computer you will need to download the filec holo.m.
If you want other computer and owlnet information look here.
Homework 70% Final exam 30%The final exam will be a takehome exam, due the last day of exams.
All homework is due in class on the date announced. This will typically be about two weeks after the assignment is posted. Each student will be allowed to have at most one late homework assignment during the semester. The one late homework will be accepted up to seven days after the due date, with or without excuse, and without penalty. No other late homeworks will be accepted even with an excuse. There will be absolutely no exceptions to these rules.
The homework is not pledged. You are encouraged to discuss the homework, and to work together on the problems. However each student is responsible for the final preparation of his or her own homework papers.