Here are the 4 clips shown in the first Math 1a lecture of January 31, 2011:

Archimedes


Source NOVA: Infinite Secrets, The Genius of Archimedes.

A clip from the ATHENA movie: The Story of Math. Shown in the first lecture.

Galileo

A clip from the NOVA movie: Galileo's battle for the heavens. Shown in the first lecture. A clip from the NOVA movie: Galileo's battle for the heavens. Shown in the first lecture.