The University of Massachusetts Boston

Department of Mathematics

MA358 Complex Analysis, Spring 2009

Instructor: Prof. Alfred Noël

Office : 3-175 Science Building

Phone : (617)-287-6458

Email : anoel@math.umb.edu

Url : http://www.math.umb.edu/~anoel

Class hours : Tuesday, Thursday 4:00 PM - 5:15 PM,

Office hours: Tuesday, Thursday 2:00 PM – 3:30 PM

Text : Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics, 3rd Edition, by Saff and Snider, published by Prentice Hall, 2003. ISBN: 0139078746.

THIS WILL BE A VERY CHALLENGING COURSE. YOU WILL HAVE TO SPEND AT LEAST 12 HOURS A WEEK WORKING ON HOMEWORK ASSIGNMENTS IN ORDER TO BE READY FOR THE EXAMS. ATTENDANCE IS STRONGLY ENCOURAGED BECAUSE THE PACE WILL BE FAST.

We will cover the first seven chapters consisting of the following topics:

Complex numbers; complex functions; power series; differentiation and integration of analytic functions; Cauchy's theorem; Residue theory; Conformal transformations. (We might have to omit a few sections on applications due to time constraint)

If you have already taken Calculus I, II, III then you are eligible to take this course. I will sign your registration form if there is a need to do so. The course deals with the material that you learned in Calculus I and II but does it with COMPLEX NUMBERS. Complex analysis, like calculus is very important not only for mathematicians but also for scientists, physicists and engineers who want to study complex systems rigorously. It plays a fundamental role in the study of ordinary and partial differential equations. 

Exams: There will be 3 one-hour exams and a cumulative final exam:

Exam I : Thursday, February 19

Exam II : Thursday, March 26

Exam III: Thursday, April 30

Grading Procedures: Each exam is worth 20% of your final grade. High Attendance & Class Participation 10%. The Final exam will count for 30%.

THERE WILL BE NO MAKEUP EXAMS.

STUDENTS ARE RESPONSIBLE FOR MATERIAL COVERED IN CLASS.