| Date | Reading | Topics |
| Tu, Sep 7, 2021 | Refer to Advanced Calculus and Methods of Mathematical Physics from the first year | Review of calculus on normed vector spaces: norm, point-set topology (open, closed, compact sets), continuity and differentiability, Riemann integration of vector-valued functions |
| We, Sep 8, 2021 | Stein, Ch 1, Sec 2.2 | Holomorphic functions: Definition, Cauchy-Riemann equations, examples |
| We, Sep 15, 2021 | Stein, Ch 1, Sec 2.3 | Power series, curves (elementary definitions) |
| Th, Sep 16, 2021 | Stein, Ch 1, Sec 3; Ch 2, Sec 1+2 | Integration along curves, Goursat’s theorem, local existence of primitives |
| We, Sep 22, 2021 | Stein, Apx B (parts); Ch 2, Sec 3 | General Cauchy theorem, applications |