| Lecture | Date | Section | Notes | Homework |
|---|---|---|---|---|
| 1 | 1/14 | 1.1 | The complex plane | |
| 2 | 1/16 | 1.1 | Formal view of complex numbers | |
| 3 | 1/19 | 1.2 | Some geometry | |
| 4 | 1/21 | 1.3 | Subsets of the plane | Homework #1 |
| 5 | 1/23 | 1.3 | Subsets of the plane - con'd | |
| 6 | 1/26 | 1.4 | Functions and limits | |
| 7 | 1/28 | 1.4 | Infinite series | Homework #2 |
| 8 | 1/30 | 1.5 | Exponential & logarithmic functions | |
| 9 | 2/2 | 1.5 | Trigonometric functions | |
| 10 | 2/4 | 1.6 | Curves | Homework #3 |
| 11 | 2/6 | 1.6 | Line integrals | |
| 12 | 2/9 | 1.6 | Green's theorem | |
| 13 | 2/11 | Review | ||
| 14 | 2/13 | Midterm 1 | ||
| 15 | 2/16 | 2.1 | Analytic functions: the Cauchy-Riemann equations | |
| 16 | 2/18 | 2.1 | Cauchy-Riemann equations - con'd | Homework #4 |
| 17 | 2/20 | 2.1 | Flows & Fields (time permitting) | |
| 18 | 2/23 | 2.2 | Power series | |
| 19 | 2/25 | 2.2 | Power series - con'd | Homework #5 |
| 20 | 2/27 | 2.3 | Cauchy's theorem and Cauchy's formula | |
| 21 | 3/2 | 2.3 | Cauchy's theorem and Cauchy's formula - con'd | |
| 22 | 3/4 | 2.4 | Consequences of Cauchy's formula | |
| 23 | 3/6 | 2.4 | Consequences of Cauchy's formula - con'd | |
| 24 | 3/16 | 2.5 | Isolated singularities | |
| 25 | 3/18 | 2.5 | Residues | Homework #6 |
| 26 | 3/20 | 2.5 | Laurent series | |
| 27 | 3/23 | Review | ||
| 28 | 3/25 | Midterm 2 | ||
| 29 | 3/27 | 2.6 | The Residue theorem | |
| 30 | 3/30 | 2.6 | Introduction to contour integrals | |
| 31 | 4/1 | 3.1 | Zeroes of an analytic function | Homework #7 |
| 32 | 4/3 | 3.1 | Zeroes of an analytic function | |
| 33 | 4/6 | 3.2 | Maximum modulus principle | |
| 34 | 4/8 | 3.2 | Mean value | |
| 35 | 4/10 | 3.3 | Fractional linear transformations - I | |
| 36 | 4/13 | 3.3 | Fractional linear transformations - II | |
| 37 | 4/15 | 3.3 | Fractional linear transformations - III | Homework #8 |
| 38 | 4/17 | Review | ||
| 39 | 4/20 | Midterm 3 | ||
| 40 | 4/22 | 3.4 | Conformal mapping | |
| 41 | 4/24 | 3.4 | Conformal mapping - con'd | |
| 42 | 4/27 | Review |