Department of Mathematics  

Duke University



    

Math Home
_____________
Arts & Sciences
_____________
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 Answers
Midterm 2Tuesday November 10 Answers
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.

Last modified:

C.G.T.P.
Duke University, Box 90318
Durham, NC 27708-0318
Mathematics Home | Arts & Sciences | Duke University