Below is an approximate schedule of topics to be covered in the course. It accurately reflects content we have covered up to February 4th, and gives a projection of what we will cover in the coming weeks. It will be updated and extended as the semester progresses.
Week of | Topics |
---|---|
Jan 20 | Preliminaries from 104; geometry of $\C$; holomorphic functions; the Cauchy-Riemann equations |
Jan 27 | Holomorphic functions; power series |
Feb 3 | $xp$, $\cos$, and $\sin$; curves; integration, primitives |
Feb 10 | The Cauchy-Goursat Theorem, primitives of holomorphic functions; Cauchy's integral formula |
Feb 17 | Liouville's Theorem, the Fundamental Theorem of Algebra, Morera's Theorem, zeros of holomorphic functions |
Feb 24 | ... |
Last updated: September 13, 2021.