Syllabus for
MATH 508/440
The content and timing of this
syllabus is subject to change.
|
Week
|
Dates
|
Reading
and
Class Events
|
Assignments
|
|
1.
|
Sep 8, 10
|
Residue Calculus
|
|
|
2.
|
sep 13, 15, 17
|
Residue
Calculus
|
Assignment
1
|
|
3.
|
Sep 20, 22, 24
|
Winding
Numbers\ Logaithmic Inyegrals
|
|
|
4.
|
Sep 27, 29, Oct 1
|
Conformal
Mappings
|
Assignment
2
|
|
5.
|
Oct
4, 6, 8
|
Conformal
Mappings
|
|
|
6.
|
Oct
11, 13, 15 |
Harmonic Functions
|
|
|
7.
|
Oct
18, 20, 22
|
Schwarz Reflection
|
Assignment
3
|
|
8.
|
Oct
25, 27, 29
|
Schwarz Reflection
|
|
|
9.
|
Nov 1, 3, 5
|
The
Reimann Mapping Theorem
|
|
|
10.
|
Nov 8, 10, 12
|
The
Reimann Mapping Theorem
|
Assignment
4
|
|
11.
|
Nov
15, 17, 19
|
Analytic
Continuation Along Curves/Picard's Theorems
|
|
|
12.
|
Nov 22, 24, 26
|
Analytic
Continuation Along Curves/Picard's Theorems
|
Assignment
5
|
13.
|
Nov 29, Dec 1, 3
|
The Prime Number
Theorem |
Final
Exam |
|
|
