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The math in the derivations is from calculus, which I had 4 years ago and didn't really put all that much effort into.

Consequently, I need a solid review of some basic mathematics (and by basic I mean calculus )

For instance, I have no clue how to take the derivative of a sum, containing terms such as (ln(1-e^-Bx))

F = Kb T sum(ln(1-e^-Bhw))

where B is the boltzman factor, h is h bar and w is omega (the frequency).

then I have no clue how to go from there to Cv = dU/dT

U = d/dB(BF)

a grim situation indeed