|
Date |
|
Day |
Sec |
Topic |
|
Aug |
18 |
R |
I.1-2 |
Introduction/Complex
numbers; |
|
|
23 |
T |
I.3 |
Sets and functions. |
|
|
25 |
R |
I.3 |
Limits and continuity; |
|
|
30 |
T |
I.4 |
Connectedness. Curves and
domains; |
|
Sep |
1 |
R |
I.5 |
Infinity and stereographic
projection; |
| |
5 |
M |
|
Labor Day |
|
|
6 |
T |
I.5-6 |
Infinity and stereographic
projection/Homeomorphisms; |
|
|
8 |
R |
I.7 |
Differentiation and the
Cauchy-Riemann equations; |
|
|
13 |
T |
I.8 |
Geometric interpretation
of the derivative. Conformal mapping; |
|
|
15 |
R |
I.9 |
Elementary entire
functions; |
|
|
20 |
T |
I.10 |
Elementary meromorphic
functions; |
|
|
22 |
R |
I.10 |
Elementary meromorphic
functions; |
|
|
27 |
T |
I.11 |
Elementary multiple-valued
functions; |
|
|
29 |
R |
I.12-13 |
Rectifiable curves.
Complex integrals/Cauchy's integral theorem; |
|
Oct |
4 |
T |
I.13-14 |
Cauchy's integral
theorem/Cauchy's integral and related topics; |
| |
6 |
R |
|
Fall Break |
| |
7 |
F |
|
Fall Break |
| |
11 |
T |
|
Midterm |
|
|
13 |
R |
I.15 |
Uniform convergence.
Infinite products; |
|
|
18 |
T |
I.16 |
Power series: rudiments; |
|
|
20 |
R |
I.17 |
Power series:
ramifications; |
|
|
25 |
T |
I.17 |
Power series:
ramifications; |
|
|
27 |
R |
I.18 |
Methods for expanding
functions in Taylor series; |
|
Nov |
1 |
T |
II.1 |
Laurent's series. Isolated
singular points; |
|
|
3 |
R |
II.2 |
The calculus of residues
and its applications; |
|
|
8 |
T |
II.2 |
The calculus of residues
and its applications; |
|
|
10 |
R |
II.3 |
Inverse and implicit
functions; |
|
|
15 |
T |
II.4 |
Univalent functions; |
|
|
17 |
R |
III.1 |
Conformal mapping:
rudiments; |
|
|
22 |
T |
III.2 |
Conformal mapping:
ramifications; |
| |
23 |
W |
|
Thanksgiving |
| |
24 |
R |
|
Thanksgiving |
| |
25 |
F |
|
Thanksgiving |
|
|
29 |
T |
III.2 |
Conformal mapping:
ramifications; |
|
Dec |
6 |
T |
|
Final -
3:00-6:00 PM |