Teaching

Math 440/540: Elements of complex analysis

 

Official business:

Notes:

  1. Complex numbers
  2. Complex functions
  3. Complex integration
  4. Taylor series and Laurent series

Homeworks:

  1. Complex numbers
  2. Topology in the plane
  3. Functions and limits
  4. Cauchy-Riemann equations
  5. The exponential function and friends
  6. Complex integration
  7. Cauchy theory
  8. Taylor series
  9. Laurent series
  10. Poles and residues

Tests (with solutions):

  1. Quiz 1
  2. Quiz 2
  3. Midterm Practice Questions (no solutions)
  4. Quiz 3
  5. Midterm
  6. Quiz 4

Extra Credit projects:

  1. The sine function
  2. FTA

 

Math 730: Complex Dynamics

Official business:

Notes:

  • These will be updated periodically. Latest update: April 15, 2015

Homeworks:

  1. All about M(r,f)
  2. Normal families
  3. Fatou and Julia sets
  4. Examples of families of analytic functions
  5. Unicritical Blaschke products (optional)