Approximate syllabus 
642:528–Spring 2013

This syllabus is tentative; elements such as scheduling of exams and coverage on each exam may change.
All changes will be posted on the class web site.

In the text entries below:


Dates Text Topics
1/22–2/05
Greenberg
Chapter 21
Complex numbers and the complex plane;
 analytic functions and the Cauchy-Riemann equations
2/07–2/21
Greenberg
Chapter 22
Class notes
Conformal mapping and applications to PDEs
  Class notes provided on Schwarz-Christoffel transformations
2/26–3/12
Greenberg
Chapter 23
Complex integration, Cauchy's theorem, and the Cauchy integral formula
3/14–4/04
Greenberg
Chapter 24
Taylor and Laurent series, classification of singularities,
  the residue theorem
4/09–5/02
Weinstock
Class notes
Calculus of variations



Exam schedule

Date Exam Topics
2/28
EXAM 1
All covered material from Chapters 21 and 22
4/16
EXAM 2
All covered material from Chapters 23 and 24
TO BE
SCHEDULED
FINAL EXAM All material of the course

Last updated 1/20/2013.