This schedule is tentative and may be changed!
|
Date |
|
Sec |
Topic |
|
Jan |
11 |
1.2 |
Intro/ComplexNumbers |
|
|
16 |
1.3-1.4 |
The Complex Plane |
|
|
18 |
1.5 |
Stereographic Projection |
|
|
23 |
1.6 |
Curves and Regions |
|
|
25 |
2.1 |
Functions and Limits |
|
|
30 |
2.2-2.3 |
Differentiability/Cauchy-Riemann Conditions |
|
Feb |
1 |
2.4 |
Linear Fractional Transformations |
|
|
6 |
2.5 |
Transcendental Functions |
|
|
8 |
3.1 |
Line Integrals |
|
|
13 |
3.2 |
The Definite Integral |
|
|
15 |
3.3 |
Cauchy's Theorem |
|
|
20 |
3.4-3.5 |
Implications |
|
|
22 |
3.6 |
Cauchy Integral Formula |
|
|
27 |
3.7 |
Maximum Modulus Principle |
|
Mar |
1 |
|
Midterm |
|
|
13 |
4.1 |
Sequences of Complex Numbers |
|
|
15 |
4.2 |
Sequences of Complex Functions |
|
|
20 |
4.3 |
Infinite Series |
|
|
22 |
4.4 |
Power Series |
|
|
27 |
4.5 |
Analytic Continuation |
|
|
29 |
4.6 |
Laurent Series |
|
Apr |
3 |
5.1 |
The Residue Theorem |
|
|
5 |
|
Break |
|
|
10 |
5.2 |
Real Integrals |
|
|
12 |
5.2 |
Real Integrals |
|
|
17 |
6.1-6.2 |
Potential Theory |
|
|
19 |
6.4.6.5 |
Conformal Mapping |
|
|
24 |
|
Asymptotic Expansions |
|
|
26 |
|
Stirling's Formula |
Top
|