Math 213a / MWF 12-10 / Science Center 216
Harvard University - Fall 2006
Curtis T McMullen
McGraw-Hill, 3rd Edition.
Classical Topics in Complex Function Theory.
Intended for graduate students.
Prerequesites include differential forms,
topology of covering spaces and a first course in complex analysis.
Undergraduates require Math 113 and 131, or permission of the instructor.
Visual Complex Analysis.
Oxford University Press, 1997.
A Course in Arithmetic.
Theory of Functions.
A second course on complex analysis on the plane, sphere and complex tori.
Possible topics include:
Reading and Lectures.
Students are responsible for all topics covered in
the readings and lectures. Lectures may go beyond the
reading, and not every topic in the reading will be
covered in class.
Basic complex analysis
Holomorphic functions and forms
Distributions, the d-bar equation
Schwarz lemma and hyperbolic geometry
Entire and meromorphic functions
Riemann mapping theorem
The area theorem; compactness
Local connectivity and boundary values
Universal cover of plane regions
Geometric function theory
Graduate students who have passed their
quals are excused from a grade for this course.
Grades for other students will be based on homework.
Homework will be assigned every week.
Late homework will not be accepted.
Collaboration between students is encouraged, but you
must write your own solutions, understand them and
give credit to your collaborators.
| 18 Sept (M) || First class
| 9 Oct (M) || Columbus day -- no class
| 10 Nov (F) || Veteran's day -- no class
| 24 Nov (F) || Thanksgiving -- no class
| 18 Dec (M) || Last class
| 2 Jan (Tu) || Reading period begins
| 12 Jan (F) || Exams begin
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