This video covers the method of complex integration and proves Cauchy's Theorem when the complex function has a continuous derivative.
Some background knowledge of line integrals in vector calculus is useful to understand connections, but not necessary.
Any questions? Let me know in the comments!
Lecture Notes: https://drive.google.com/file/d/0B_ur...
Patreon Link: https://www.patreon.com/user?u=4354534