
MATH
440/508:
Complex
Analysis


This course offers a first year
graduate complex analysis. In the first part of the course we will
start with a review of the Residue Calculus and then cover subjects
such as Winding numbers, the Argument principle, Harmonic functions and
Poisson Formula, and Conformal mappings. In the second part of the
course we will continue with some geometric function theory and
cover
Representation of functions by integrals, Series and products, and
Analytic continuation along the curves. In the final part of the
course, time permitting, we will also cover a subset of the following
topics:
Compact families of meromorphic functions, Approximation theorems,
Special functions and Prime number theorem.
Announcements:

08/30/2012  Website
Created.

Instructor:

Prof. Mahta Khosravi

Office Hours

Mondays and Wednesdays 2:30pm 
3:30pm
(MATH
219)
(or by appointment).

Time and Location:

MWF 11:00am  12:00pm (Math 105)

Prereqs:

MATH 300 and a score of
68% or higher in MATH 320.

Text:

“Complex
Analysis” by S. Lange. Chapters VIXIV

Homework and Exams:

Homework
problems will be posted regularly on the course website.
In addition, there will be a takehome midterm and a takehome ﬁnal. You
total score will be a weighted average of your homework, midterm and
ﬁnal scores, with the breakdown as follows:
50% on the Homework
20% on Projects
30% on the Final Exam

