| WEEK | BRIEF DESCRIPTION | notes/homeworks/solutions |
| 01/09 - 01/13 | complex number, matrix representation, Riemann sphere | |
| 01/16 - 01/20 | Cauchy-Riemann equation | HW1 solution1 |
| 01/23 - 01/24 | Partial fraction representation | |
| 01/30 - 02/3 | Mobius, Linear transformation, reflection | HW2 solution2 |
| 02/06 - 02/12 | Line integras, Cauchy-Goursat theorem, Cauchy Integral Formula | |
| 02/13 - 02/19 | Cauchy Integral Formula, open mapping theorem | HW3 solution3 |
| 02/20- 02/26 | Maximal principle, general Cauchy theorem | |
| 02/27- 03/02 | General Cauchy theorem, residues | HW4 |