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.

Enjoy!

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That’s nifty. I’ll have to look through these. I watched part of the first one and it seems like they’ll be accessible. Thanks for doing all that work! 😀

Comment by Zach — January 8, 2011 @ 11:07 am |

My pleasure, Zach. Good luck in your combinatorics course. I’m keen to see how your self-assessment mechanism works out for you. I’ve been doing that informally with my students (after every quiz, each student predicts their score on each standard), but something more formal might be better.

Comment by Adam Glesser — January 8, 2011 @ 11:43 am |