Rates of change
Week 1:

• Intro to statistical mechanics
• Laws of thermodynamics
• Coarse-graining
  Week 2:
• Ideal Gas Law
• Ideal gas law derivation
• Statistical fluctuations
  Week 3:
• Microstates and Macrostates
• Phase space
  Week 4:
• Lagrangian mechanics
• Hamiltonian mechanics
• Liouville theorem
• Principle of Least Action
  Week 5:
• Information and entropy
  Week 6:
• Entropy, energy, and temperature
  Week 7:
• Ergodicity
• Temperature and the Canonical Ensemble
  Week 8:
• Entropy and Pressure
• Gibbs Paradox
• Partition Function and Ideal Gas
• Ideal Gas Partition Function
• Maxwell-Boltzmann Distribution
• Equipartition and Diatomic Gases
  Week 9:
• Work and heat
• Heat and entropy
• Carnot engine
• Euler equation and Gibbs-Duhem
• Free energy
• Enthalpy
• Euler equation derivation
• Helmholtz work inequality derivation
• Spring-gas equilibrium derivation
  Week 10:
• 1D Ising Model
• Phase Transitions
• Phase Transitions derivations