Attendance is mandatory on seminar days.
This schedule is subject to change.
| Date | Topic |
| Wed 1/19 |
Introduction |
| Fri 1/21 | 1.1 The complex plane |
| Mon 1/24 | 1.2 Geometry, 1.3 Topology |
| Wed 1/26 | 1.4 Functions and limits |
| Fri 1/28 | 1.5 Exponential, log, trig functions |
| Mon 1/31 | 2.1 Analytic functions |
| Wed 2/2 | Seminar day |
| Fri 2/4 | 2.1.1 Functions and vector fields |
| Mon 2/7 | 2.2 Power series |
| Wed 2/9 | Seminar day |
| Fri 2/11 | 1.6 Line integrals |
| Mon 2/14 | More 1.6 Line integrals |
| Wed 2/16 | 2.3 Cauchy's theorem |
| Fri 2/18 | More 2.3 Cauchy's theorem |
| Mon 2/21 | Catch up, review |
| Wed 2/23 | First exam (take-home) - no class meeting |
| Fri 2/25 | 2.4 Cauchy's formula |
| Mon 2/28 | More 2.4 Cauchy's formula |
| Wed 3/2 | More 2.4 Cauchy's formula |
| Fri 3/4 | 2.5 Singularities |
| Mon 3/7 | More 2.5 Singularities |
| Wed 3/9 | Seminar day |
| Fri 3/11 | 2.6 Residue theorem |
| Mon 3/14 | Spring Break |
| Wed 3/16 | |
| Fri 3/18 | |
| Mon 3/21 | More 2.6 Residue theorem |
| Wed 3/23 | More 2.6 Residue theorem |
| Fri 3/25 | 3.1 Argument principle, Rouche's theorem |
| Mon 3/28 | More 3.1 Argument principle, Rouche's theorem |
| Wed 3/30 | Seminar day |
| Fri 4/1 | 3.2 Maximum modulus, mean value |
| Mon 4/4 | Catch up, review |
| Wed 4/6 | Second midterm (take-home) - no class meeting |
| Fri 4/8 | 3.3 Mobius transformations |
| Mon 4/11 | 3.4 Conformal mapping |
| Wed 4/13 | Seminar day |
| Fri 4/15 | 3.4.1 Physical applications of conformal mapping |
| Mon 4/18 | 3.5 Riemann mapping theorem |
| Wed 4/20 | 4.1 Harmonic functions |
| Fri 4/22 | Easter Break |
| Mon 4/25 | 4.2 Physical applications of harmonic functions |
| Wed 4/27 | Seminar day |
| Fri 4/29 | Complex dynamics |
| Mon 5/2 | Summary, review |