Prerequisites: Elementary real analysis at the level of Math 115 is strongly recommended, and multivariable calculus at the level of 52 is desired.
Textbook: "Complex Analysis" by E. Stein and R. Shamkarchi.
Please see this syllabus (last updated 11/15) for additional course informations. Click Exam for practice problems for the exams, etc.| Date | Title | link |
| 9/27 | Trailer | 0927.pdf |
| 9/29 | Sequences and series of functions | 0929.pdf |
| 10/2 | Supplement for chain rules | 1002.pdf |
| 10/6 | A definite integral | 1006.pdf |
| 10/11 | Residue formula | 1011.pdf |
| 10/13 & 10/16 | Jordan curve theorem | 1013.pdf |
| 10/18 & 10/20 | Holomorphic simply connectedness | 1018.pdf |
| 10/27 | Zeroes, analytic continuations, and L'Hopital rule | 1027.pdf |
| 11/3 | The Riemann sphere | 1103.pdf |
| 11/10 | Laurent series | 1110.pdf |
| 11/27 | Doubly periodic functions | 1127.pdf |
| 11/29 | Weierstrass P-function and the cubic equation | 1129.pdf |
| 12/01 | Eisenstein series and elliptic curves | 1201.pdf |
| 12/04 | Elliptic curves and the group law | 1204.pdf |
| 12/06 | Proof of the group law | 1206.pdf |