In the past, UT Math Club had a videographer with the job of recording and uploading videos of math lectures. The math department camera is unfortunately broken until further notice (if you want new recordings then maybe consider making a donation).
We are currently in the process of transferring videos from the math department’s repository to our YouTube channel. If you want to watch more videos then there is an older YouTube channel with the same name (unfortunately we don’t have the login credentials). If you don’t care about sloppy organization then check out https://media.ma.utexas.edu/media/Math_Club/.