Syllabus
The following is a tentative syllabus for the course. This page will be updated irregularly. On the other hand, the daily schedule on our Canvas website will be updated regularly.
| Lectures | Sections in Text | Brief Description |
|---|---|---|
| Week 1 | 1.1-1.6 | Algebra of Complex numbers |
| Week 2 | 2.1-2.5 | Analytic functions |
| Week 3 | 3.1-3.5 | Elementary functions |
| Week 4 | 4.1-4.3 | Complex integration: Contour integrals |
| Week 5 | 4.4-4.5 | Complex integration: Cauchy's Theorem and Cauchy's Formula |
| To be confirmed | Midterm 1 | |
| Week 6 | 4.6, 5.1-5.2 | Bounds for analytic functions, Taylor series |
| Week 7 | 5.3, 5.5 | Power series, Laurent series |
| Week 8 | 5.6, 6.1-6.2 | Zeros and singularities, Residue Theorem, Trig integrals |
| To be confirmed | Midterm 2 | |
| Week 9 | 6.3-6.4 | Improper integrals |
| Week 10 | 6.7, 8.1-8.2 | Argument Principle, Applications |
| To be confirmed | Final Exam |