MATH 452

Introduction to Complex Variables II

(Updated )

News

This course is over.

General Information

Resources

For the Mobius transformations part of the course, we are using:

The Non-Euclid applet.
Applets demonstrating inversion in a circle: Circle Inversion, Inverting an F, The Peaucellier Linkage.

An article about the history of the problem of changing circular motion into straight-line motion by Daina Taimina.

Mobius Transformations Revealed (YouTube video).

For the infinite product/Gamma/Zeta function part of the course, we are using pages 164-194 of Conway, Functions of One Complex Variable (2ed).

Pictures of the Riemann Zeta function ζ(z):

Pictures of the Gamma function: |Γ(z)|, Γ(x).

XKCD on the Riemann Zeta funtion.

Homework Assignments

  1. Due Wednesday, 1/20:
    Week 1 problems #1-4.
  2. Due Wednesday, 1/27:
    Ch 5.3 # 2, 3*, 4, 5, 6, 7, 11, 16
    Ch 5.4 # 3, 14
  3. Due Wednesday, 2/3:
    Ch 5.5 # 1*, 2, 3*, 4*, 5*, 6*, 7*, 9, 10
    Ch 5.6 # 1*, 2, 3*
  4. Due Wednesday, 2/10:
    Ch 5.6 # 5, 6, 7, 9, 12, 15, 19
    Ch 5.7 # 1*, 2, 3*, 5
  5. Due Wednesday, 2/17:
    Ch 6.1 # 1*, 3*, 4, 5, 7
  6. Due Friday, 2/26:
    Ch 6.3 # 1, 3, 4, 5, 11
    Ch 6.5 # 12
  7. Due Wednesday, 3/24:
    Conway Pg. 173 # 1, 4, 5, 6, 7, 8
    Plus problems on a handout.
  8. Due Wednesday, 4/7:
    Problems on a handout.
  9. Due Monday, 4/19:
    Conway Pg. 185 # 2
    Conway Pg. 194 # 2, 3, 4
    Plus one problem on a handout.
  10. Due Friday, 4/30:
    Check (3) on page 124 of Needham
    S-S: 7.3 # 3, 5, 7, 9, 11
    S-S: 7.4 # 14, 19, 22bc
    Needham: Ch 3 # 2, 10, 11, 12
* Routine problem - do as many as you need to.