It only took a little over a year, but I finally got my collection of complex analysis lectures online. Sadly, two of the lectures mysteriously disappeared. In any case, as far as I know, this is the only (near) complete collection of videos on introductory complex analysis available online. Thanks to all the students who wrote me over the past year requesting I put these up. I wouldn’t have done it without your prompting.
For those who don’t know what complex analysis is, let me quickly summarize the idea as doing calculus but with functions of a complex variable. Cool things happen in this world that don’t normally happen. For instance, differentiable functions are automatically infinitely differentiable. Also, there is a certain theory called residue theory which enables one to use complex integration to solve real integration problems.