Video with recap of two-state models, Einstein crystals and coupled Einstein crystals.
Video and handwritten notes on the binomial coefficient
1 Simplify exp[N ln(a) – ln(b)]
A) Cannot be simplified. B) aN/b C) aN b D) N+a+b E) aN – b
Video and handwritten notes on finding an approximation to the binomial distribution for large systems.
2 Consider (q+N)!/q! for the case q>>N. If you wrote out all the factors, and cancelled as much as you could, how many factors would be left?
A) q factors B) N factors C) (q+N) factors D) None of these.
Video on large N paramagnet.
Video on the low temperature limit of Einstein crystals
Video on two large, coupled Einstein crystals in the high temperature limit.