| Mon 1 Feb |
1.1-1.4 |
Complex numbers |
2,4,6,11,15,18,20 |
| Wed 3 Feb |
2.1-2.4 |
Limits in the complex plane |
1,5,12 |
| Mon 8 Feb |
3.1-3.4 |
Complex functions |
4,7,11,12,13,16,17 |
| Wed 10 Feb |
4.1-4.3 |
Differentiation in the Complex Plane |
1,2,3,11,16,17,18,19,22 |
| Mon 15 Feb |
|
No class |
|
| Wed 17 Feb |
5.1-5.3 |
Integration in the Complex Plane |
2,3,4,10 |
| Mon 22 Feb |
5.4-5.6 |
Cauchy’s Integral Theorem and Formula |
12,15,16,18 |
| Wed 24 Feb |
5.7-5.8 |
Analytic and Harmonic Functions |
20,21,26,27 |
| Mon 1 Mar |
6.1-6.2 |
Complex Series |
3,9,10 |
| Wed 3 Mar |
6.3 |
Uniform Convergence of Series |
13,16,17 |
| Mon 8 Mar |
7.1-7.2 |
Power Series |
2,3,4,5,7 |
| Wed 10 Mar |
8.1 |
The Exponential and Related Functions |
1,2,3,9,10 |
| Mon 15 Mar |
8.2 |
Fractional Linear Transformations |
13,15,17,22,26 |
| Wed 17 Mar |
9.1-9.3 |
Multiple-Valued Functions |
3,4,5,6,10,11 |
| Mon 22 Mar |
|
Review |
|
| Wed 24 Mar |
|
Midterm |
|
| Mon 29 Mar |
|
Spring Break |
|
| Wed 31 Mar |
|
Spring Break |
|
| Mon 5 Apr |
10.1-10.2 |
Taylor Series |
1,2,3,4,5,6,8 |
| Wed 7 Apr |
10.3 |
Maximum Modulus Principle |
15,28 |
| Mon 12 Apr |
11.1 |
Laurent Series |
1,2,4,5,10 |
| Tue 14 Apr |
11.2 |
Isolated Singular points |
11,15,16 |
| Wed 19 Apr |
11.3 |
Residues |
23,24,25,26,30,32 |
| Mon 21 Apr |
12.1-12.2 |
Applications of Residues |
3,4,5 |
| Wed 26 Apr |
12.3-12.4 |
Applications of Residues |
14,16,17 |
| Mon 28 Apr |
12.3-12.4 |
Applications of Residues |
20,23 |
| Wed 3 May |
15.1-15.2 |
Fluid Dynamics |
|
| Mon 5 May |
15.3 |
Electrostatics |
|
| Wed 10 Apr |
|
Surfaces |
|
| Mon 12 May |
|
Review |
|
| Wed 17 May |
|
Review |
|
| Wed 24 May |
|
Final |
|