MATH 427: Complex Analysis, Spring 2010


Description:

The course will give a rigorous treatment of analytic functions of one variable. Topics
include complex differentiation and integration, residues, harmonic functions, the Riemann
Mapping Theorem, analytic continuation. Particular emphasis will be placed
the study of special functions and their asymptotics by the contour integral method.
A detailed exposition of Lobachevsky’s geometry is also planned. If time permits,
we’ll briefly discuss Riemann surfaces in the end of the term.

Instructor:

Alexander I. Bufetov

Office: HB 444
Email: aib1-at-rice-dot-edu
Telephone: ext 3965

Text:

Complex Analysis, L. Ahlfors, 3d ed., McGraw-Hill, and
Special Functions and Their Applications, N.N. Lebedev, Dover Publications.

Syllabus:

Download the pdf file

Midterm:

The First Midterm

Homework:

View homework

Reminder:

Zhi Zhang holds a special problem session THIS WEEK! Friday 12 March 4pm in Room 40, basement of Herman Brown Hall

Lecture Notes:

Jan 12, Tue

Jan 14, Thu

Jan 19, Tue

Jan 21, Thu

Jan 26, Tue

Jan 28, Thu

Feb 02, Tue

Feb 09, Tue

Feb 11, Thu

Feb 16, Tue

Feb 18, Thu

Feb 23, Tue

Feb 25, Thu

Mar 09, Tue

Mar 11, Tue

Mar 16, Tue

Mar 18, Thu

Mar 25, Thu

Mar 30, Thu

Apr 06, Tue

Apr 08, Thu