Note: this schedule is only approximate and will be updated irregularly.
| Date | Topic | Textbook Sections |
|---|
| 8/27 | Arithmetic of Complex Numbers | 1.1, 1.2 |
| 8/29 | Arithmetic of Complex Numbers (cont.) | 1.1, 1.2 |
| 9/5 | Functions of a Complex Variable | 1.3 |
| 9/10 | Functions of a Complex Variable (cont.) | 1.3 |
| 9/12 | Topology of the Complex Plane | 1.4 |
| 9/17 | Limits and Continuity | 1.4 |
| 9/19 | Analytic Functions | 1.5, 1.6 |
| 9/24 | Analytic Functions (cont.) | 1.5, 1.6 |
| 9/26 | Contour Integration | 2.1 |
| 10/1 | Contour Integration (cont.) | 2.1 |
| 10/3 | First Midterm Exam | |
| 10/8 | Cauchy's Theorem | 2.2, 2.3 |
| 10/10 | Cauchy's Theorem (cont.) | 2.2, 2.3 |
| 10/15 | Cauchy's Integral Formula | 2.4 |
| 10/17 | Maximum Modulus Principle | 2.5 |
| 10/22 | Sequences and Series of Analytic Functions | 3.1 |
| 10/24 | Sequences and Series (Cont.), Power Series | 3.1, 3.2 |
| 10/29 | Taylor's Theorem, Laurent Series | 3.2, 3.3 |
| 10/31 | Classification of Singularities | 3.3 |
| 11/5 | Residues | 4.1 |
| 11/7 | Second Midterm Exam | |
| 11/12 | Residues (cont.), Residue Theorem | 4.1, 4.2 |
| 11/14 | Residue Theorem (cont.) | 4.2 |
| 11/19 | Evaluation of Definite Integrals | 4.3 |
| 11/21 | No class - Happy Thanksgiving! | |
| 11/26 | Evaluation of Definite Integrals, Summing Infinite Series | 4.3, 4.4 |
| 11/28 | Summing Infinite Series | 4.4 |
| 12/3 | Fractional Linear Transformations | 5.1, 5.2 |
Questions and comments concerning this page are to be
addressed to rdaileda at trinity dot edu.
