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_urJu4cgDhMVFd3S1NYQ0o0bEU/view?usp=sharing&resourcekey=0-9MY7BK71ExpW9CdbAEnIqQ Patreon Link: https://www.patreon.com/user?u=4354534