The Berry--Esseen Theorem -- that is, the useful version of the Central Limit Theorem with explicit error bounds. Lecture 4c of "CS Theory Toolkit": a semester-long graduate course on math and CS fundamentals for research in theoretical computer science, taught at Carnegie Mellon University.
Resources for this lecture:
Feller's book, "Introduction to probability theory and its applications"
https://terrytao.wordpress.com/2010/01/05/254a-notes-2-the-central-limit-theorem/
Taught by Ryan O'Donnell (https://www.cs.cmu.edu/~odonnell)
Course homepage on CMU's Diderot system: https://www.diderot.one/course/28/
Filmed by Cole H. for Panopto (http://www.panopto.com/)
Thumbnail photo by Rebecca Kiger (https://www.rebeccakphoto.com/)