Complex Analysis (Math 333)
Fall 2020
Instructor:
Paul Aspinwall
Credits: 3.0
Time: TuTh 1:45  3:00pm
Location: Tuesdays Physics 154, Thursdays online.
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
 Takehome Final. Due: Sunday Nov 22, 5:00PM
Office Hours
 Mondays 10:0011:00
 Wednesday 2:003:00
Synopsis
 Basic algebra of complex numbers
 Exponential form
 Analytic Functions
 CauchyRiemann 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 McGrawHill, eighth or ninth edition.
See also
 L. Ahlfors, Complex Analysis, McGraw Hill.
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