Complex Analysis (Math 333)
Fall 2021
Instructor:
Paul Aspinwall
Credits: 3.0
Time: TuTh 1:45 - 3:00pm
Location: Physics 227
Homework
Prerequisites
- (Math 221 or Math 218) and (Math 212 or Math 222)) or consent of instructor.
Evaluations
- Homework. There will be some longer homework assigmments occasionally which will give credit towards the final grade
- Quizzes: There will be some short quizes.
- Midterm: October 7 in class
- Final: December 10, 9:00am.
Office Hours
- Mondays 10:00-11:00 (in Physics 244)
- Wednesday 2:00-3:00 (on zoom)
Synopsis
- Basic algebra of complex numbers
- Exponential form
- Analytic Functions
- Cauchy-Riemann equations
- Branches and derivatives of logarithms
- Integrals
- Contours
- Branch Cuts
- Cauchy's Theorem
- Fundamental Theorem of Algebra
- Series
- Residues and Poles
- The Gamma Function and the Zeta Function
- Conformal Mappings
Textbooks
The course will be based on the text:
- J.W. Brown and R.V. Churchill, Complex Variables and Applications,
published by McGraw-Hill, eighth or ninth edition.
See also
- L. Ahlfors, Complex Analysis, McGraw Hill.
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