Syllabus
MATH8811-01, Spring 2024
Complex Analysis
MWF 10-10.50 am Maloney 560
Instructor: Martin Bridgeman Office: Maloney 547 Tel: 552-3770 Email: bridgem@bc.edu
Office Hours: TBA, or by appointment.
Prerequisites: MT8808 Geometry/Topology I, MATH 8810 Real Analysis.
Textbook: None, Lecture notes will be distributed to the class. A standard reference is Lars V. Ahlfors, Complex Analysis, 3rd Ed.
Class website:
A website has been set up for the class here. This will be updated with homework assignments and other class information.
Academic Integrity:
Students are to abide by the University Policy on Academic Integrity. Students are responsible for familiarizing themselves and understanding the policy. The policy is described in detail on-line at here.
Homework:
Assignments will be given regularly and posted on the class website. All assignments are to be submitted in LaTeX.
Exams:
There will be a midterm and final. The midterm will be Monday March 18 . The final exam will Monday May 13.
Grade System:
30% Midterm
30% Assignments
40% Final
Course Description:
The course will cover the following topics;
The course will cover material roughly equivalent to chapters 2, 4, 5, 6 of Ahlfors as well as some other topics. This will include complex differentiation, Mobius transformations, Cauchy integral theorem, maximum modulus theorem, Schwarz-Pick theorem, calculus of residues, normal families, Picard theorem, univalent maps, the Schwarzian derivative, analytic continuation, the Riemann mapping theorem, Riemann surfaces and hyperbolic geometry.