Lecture 1:  Review of probability theory, and then presents the concepts of entropy and conservation of information.

Lecture 2:  Temperature, Boltzmann Entropy

Lecture 3: Entropy of a probability distribution, States of the system

Lecture 4:  Derivation of the Boltzman distribution of states of a system, Ideal gas

Lecture 5:  Mathematical definition of pressure using the Helmholtz free energy, and then derives the famous equation of state for an ideal gas: pV = NkT. 

Lecture 6: Deriving the equations for the energy and pressure of a gas of weakly interacting particles, and develops the concepts of heat and work which lead to the first law of thermodynamics.

Lecture 7:  Apparent contradiction between the reversibility of classical mechanics and the second law of thermodynamics, which states that entropy generally increases.  This topic leads to a discussion of the foundation of chaos theory. 

Lecture 8: Continuation on the discussion of reversibility by calculating the small but finite probability that all molecules of a gas collect in one half of a room.  He then introduces the statistical mechanics of magnetism.

Lecture 9:  Developing the Ising model of ferromagnetism to explain the mathematics of phase transitions.  The one-dimensional Ising model does not exhibit phase transitions, but higher dimension models do.

Lecture 10: Continuation on the discussion of phase transitions beginning with a review of the Ising model and then introduces the physics of the liquid-gas phase transition.