Entropy, Temperature and Heat
– Qualitative definition of temperature in terms of equilibrium, and formal definition

1/T = (∂S/∂U)_{V, N} .

– Calculating T as a function of U for simple systems.
– Calculating the heat capacity C_V as a function of T for a microscopic model.
– Situations in which T < 0, how to tell from S(U) and physical meaning.
– Situations in which C_V < 0, how to tell from S(U) and physical meaning.

Thermodynamical Entropy and the Third Law
– Finding entropy changes from dS = dU/T for processes with vanishing work, and

ΔS = ∫ C_V dT/T.

– The third law of thermodynamics; Vanishing of C_V at T = 0 and integration of S.
– Limits to the validity of the third law, and origin of residual entropy at T = 0.

Paramagnetism
– Basic definitions, expressions of U and M interms of numbers of "up" spins.
– Multiplicity of microstates Ω(n).
– Be able to calculate and plot the entropy as a function of U from Ω(n).
– Be able to calculate and plot T as a function of U.
– Be able to calculate and plot C_V as a function of T.

Mechanical Equilibrium and Pressure
– Not covered yet.

Diffusive Equilibrium and Chemical Potential
– Not covered yet.