\( \newcommand{\cross}{\times} \newcommand{\isom}{\cong} \newcommand{\RP}{\mathbb{RP}} \newcommand{\hatC}{\hat{\CC}} \newcommand{\CC}{\mathbb{C}} \newcommand{\DD}{\mathbb{D}} \newcommand{\EE}{\mathbb{E}} \newcommand{\HH}{\mathbb{H}} \newcommand{\RR}{\mathbb{R}} \newcommand{\ZZ}{\mathbb{Z}} \newcommand{\orb}{\mbox{orb}} \newcommand{\Isom}{\operatorname{Isom}} \newcommand{\GL}{\operatorname{GL}} \newcommand{\Sim}{\operatorname{Sim}} \newcommand{\Aut}{\operatorname{Aut}} \)

MA38B Complex analysis
Term I 2026-2027

Schedule

Week Date of Monday Topics Lecture notes Example sheet Comments
1 Oct. 5 Admin. Some highlights of the module. Standard notations. Arguments, multi-valued functions. Domains. Branches. The complex square root is a multi-valued function. Riemann surfaces (only mentioned in passing and not examinable). Tuesday One Tuesday: I defined a multi-valued function as having domain "some set" and co-domain "some powerset". However, I should also have mentioned that the image of a point can never be the empty set. I'll clarify this on Wednesday.
2 Oct. 12
3 Oct. 19
4 Oct. 26
5 Nov. 2
6 Nov. 9
7 Nov. 16
8 Nov. 23
9 Nov. 30
10 Dec. 7