Math 245: Introduction to Complex Analysis
Instructor:
Robert Bryant
Course Goals:
The course is intended to introduce first year graduate students to
complex analysis.
The topics to be covered will match very closely
the topics on the syllabus for the qualifying exam in complex analysis.
These topics are posted at
http://www.math.duke.edu/graduate/qual/qualcompanal.html.
Strong undergraduates may find this course a suitable introduction
to the subject. In comparison with the undergraduate complex analysis
course, Math 181, this course will be faster paced, cover
more material, and pay more attention to rigorous argument.
Intended audience:
This is an important basic course for first-year graduate students
irrespective of whether they intend to specialize in pure or applied
mathematics. It is a prerequisite for a variety of second-year
graduate courses.
Prerequisites:
Math 204 or equivalent.
Text:
"Complex Analysis", by Lars Ahlfors
Grading:
There will be weekly homework assignments.
There will also be a take-home final examination.
Last modified October 24, 2005