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Complex calculus

- The Cauchy Riemann Equations: what do they really mean?
- Integrating complex functions: FTC, Cauchy Int Thm
- Cauchy integral formula, holomorphic implies analytic
- Power series and disks of convergence
- Singularities, poles, residue theorem, Laurent series https://math.stackexchange.com/questions/60330/intuition-about-the-values-of-cauchy-integrals-on-the-unit-circle
- Analytic continuation, monodromy theorem
- Random properties of holomorphic functions, Maximum modulus principle, FTA, etc.
- Conformal maps, preserving angles, etc.

**Resources**
- Visual Complex Analysis (Needham)

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