- The Cauchy Riemann Equations: what do they really mean?
- Contour Integration I: Cauchy and Morera's integral theorems
- Contour Integration II: Everything about singularities and the origin of Pi + Picard's theorem
- Conformal maps, preserving angles, etc.
- Power series and disks of convergence
- Analytic continuation, monodromy theorem
- Random properties of holomorphic functions, Maximum modulus principle, FTA, etc.

**Resources**

- Visual Complex Analysis (Needham)

Why "disk" of convergence? Why singularity at $i$ affects 1? Why do quaternion singularities not matter?

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