18.04 Complex Variables
with applications

MIT Department of Mathematics
Spring 2007
MW : 3pm-4.30pm in 2-190
Website:
www-math.mit.edu/18.04

Overview: This course gives an introduction to the methods of complex analysis, especially as used in applications arising in the physical sciences and engineering.

Below is some important course information:


 
 
 
 
 
 
 
 
 


Recitation times:

Wed 2pm (in Room 2-131)
Wed 4.30pm (in Room 2-131)
Thurs 3pm (in Room 2-142)


Important dates:

1st Midterm (in class) examination: Monday March 5th
(in the WALKER GYM).


2nd Midterm (in class) examination: Wednesday April 18th
(in the WALKER GYM).


Final examination (2 hours): to take place in Finals Week:
Wednesday May 23rd 1:30pm-3:30pm
Venue: Johnson Ice Rink.

Some of the topics to be covered:

  • complex algebra and complex functions
  • notion of analyticity
  • contour integration
  • Laurent series and residue calculus
  • conformal mapping and potential theory
  • introduction to transform methods


Textbooks:

E. Saff & A. Snider, Fundamentals of complex analysis, 3rd Edition, (2001).

M. Ablowitz & A.S. Fokas, Introduction and applications of complex variables, Cambridge University Press, (2003).