Introduction - 0:00

Problem 1 - 3:50

Problem 2 - 29:10

Edit: at 5:52, I said "so this is how I specify a state of my system of fermions". By "this" I meant the occupation numbers N0,N1,N2, etc. So I really should have said "so the occupation numbers are how I specify a state of my system of fermions".

Edit: at 38:20, I said I was "justified in making this approximation" when referring to changing from an integral over the positive real line to one over the entire real line (divided by 2) because the dispersion was isotropic. That step wasn't an approximation, it was exact! I just flubbed my words.