| Class | Date | Topic | Section(s) |
| 1 | W 8/28 | Introduction. | |
| M 9/2 | Labor Day | ||
| 2 | W 9/4 | The algebra of complex numbers. | 1.1-1.3 |
| 3 | M 9/9 | Roots of unity. The complex exponential. | 1.4, 1.5 |
| 4 | W 9/11 | The complex log function. Basic notions of plane topology. | 1.6, 2.1 |
| 5 | M 9/16 | Complex functions. Limits of complex functions. | 2.1 2.2 |
| 6 | W 9/18 | Analyticity. The Cauchy-Riemann equations. | 2.3, 2.4 |
| 7 | M 9/23 | Calculus with Wirtinger derivatives. Differentiability of elementary functions. | 2.4 |
| 8 | W 9/25 | Harmonic functions. | 2.5 |
| 9 | M 9/30 | Contour integrals. | 4.1, 4.2 |
| 10 | W 10/2 | Independence of path. | 4.3 |
| 11 | M 10/7 | Cauchy's integral theorem. | 4.4 |
| 12 | W 10/9 | Cauchy's integral theorem (part 2). | 4.4 |
| 13 | M 10/14 | Cauchy's integral formula and its consequences. | 4.5 |
| 14 | W 10/16 | Bounds for analytic functions. Liouville's theorem. | 4.6 |
| 15 | M 10/21 | Review. | |
| 16 | W 10/23 | Midterm exam | |
| 17 | M 10/28 | ||
| 18 | W 10/30 | ||
| 19 | M 11/4 | ||
| 20 | W 11/6 | ||
| 21 | M 11/11 | ||
| 22 | W 11/13 | ||
| 23 | M 11/18 | ||
| 24 | W 11/20 | ||
| 25 | M 11/25 | ||
| 26 | W 11/27 | ||
| 27 | M 12/2 | ||
| 28 | W 12/4 | ||
| 29 | M 12/9 | ||
| 30 | W 12/11 | ||
| W 12/13 | Final Exam | ||