Department of Mathematics  

Duke University




    

Contour
    Integral

Complex Analysis
(Math 181)


Fall 2009

Instructor: Paul Aspinwall

Credits: 3.0

Time: TuTh 1:15 - 2:30pm

Location: Physics 227

Homework

Prerequisites

  • (Math 104 and (Math 103 or Math 105)) or consent of instructor.

Exams

Midterm 1Tuesday September 29
Midterm 2Tuesday November 10
FinalSunday, Dec 13 2:00 PM - 5:00 PM

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
  • Conformal Mappings

Textbooks

The course will be based on the text:
  1. J.W. Brown and R.V. Churchill, Complex Variables and Applications, published by McGraw-Hill, eighth edition 2009.

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