Probability and necessary mathematics: Probability, distributions, counting, partial derivatives
Basics of classical thermodynamics: States, macroscopic vs. microscopic, "heat" and "work", energy, entropy, equilibrium, laws of thermodynamics
More classical thermodynamics: Equations of state, thermodynamic potentials, temperature, pressure,chemical potential, thermodynamic processes (engines, refrigerators),Maxwell relations, phase equilibria.
Statistical mechanics - the formalism: Counting states, ensembles (microcanonical, canonical, grandcanonical), the partition function and its applications, fluctuationsfrom equilibrium, equipartition.
Magnetic systems: Paramagnetism, ferromagnetism, adiabatic cooling, susceptibility and correlations, mean field theory, Ising model.
Gases: Classical ideal gas(Maxwell distribution), Bose gas (mode-counting, photons, phonons,BEC), Fermi gas (degeneracy pressure, heat capacity), van der Waals and"real" gases.
Phase transitions: Landau theory, scaling, renormalization, solution to 1D Ising
Transport: Diffusion, Brownian motion, Boltzmann equation.
Special topics: Arrow of time, fluctuation-dissipation theorem, nonequilibrium systems, granular media, the density matrix
Posted solutions for problems
All information is representative only, and is likely to change from year to year.