Uploaded March 2021 | Updated September 2026, 2 weeks ago

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This lecture is part of an online undergraduate course on complex analysis.

We define holomorphic (complex differentiable) functions, and discuss their basic properties, in particular the Cauchy-Riemann equations.

For the other lectures in the course see youtube.com/playlist?list=PL8yHsr3EFj537_iYA5QrvwhvMlpkJ1yGN