The table below provides information on the course's lecture (L), recitation (R) and exam (E) sessions.

SES # | TOPICS | KEY DATES |
---|---|---|

I. Thermodynamics | ||

L1 | Fundamental Definitions, The Zeroth Law, The First Law | |

L2 | The Second Law, Carnot Engines and Thermodynamic Temperature, Entropy | |

L3 | Approach to Equilibrium and Thermodynamic Potentials, Useful Mathematical Results | |

L4 | Stability Conditions, The Third Law | |

II. Probability | ||

L5 | General Definitions, One Random Variable, Some Important Probability Distributions | |

R1 | Recitation | |

L6 | Many Random Variables, Sums of Random Variables and the Central Limit Theorem, Rules for Large Numbers, Information, Entropy, and Estimation | Problem set 1 due |

III. Kinetic Theory of Gases | ||

L7 | General Definitions, Liouville's Theorem | |

L8 | The Bogoliubov-Born-Green-Kirkwood-Yvon Hierarchy, The Boltzmann Equation | |

L9 | The H-Theorem and Irreversibility, Equilibrium Properties | |

R2 | Recitation | |

E1 | In-class Exam 1 | |

R3 | Recitation | |

L10 | Conservation Laws | Problem set 2 due |

L11 | Zeroth Order Hydrodynamics, First Order Hydrodynamics | |

IV. Classical Statistical Mechanics | ||

L12 | General Definitions, The Microcanonical Ensemble, Two-Level Systems | |

R4 | Recitation | |

L13 | The Ideal Gas, Mixing Entropy and Gibbs' Paradox, The Canonical Ensemble | Problem set 3 due |

L14 | Examples, The Gibbs Canonical Ensemble, The Grand Canonical Ensemble | |

V. Interacting Particles | ||

L15 | The Cumulant Expansion | |

R5 | Recitation | |

E2 | In-class Exam 2 | |

L16 | The Cluster Expansion | |

L17 | The Second Virial Coefficient and Van der Waals Equation, Breakdown of the Van der Waals Equation, Mean Field Theory of Condensation | |

L18 | Variational Methods, Corresponding States, Critical Point Behavior | |

VI. Quantum Statistical Mechanics | ||

L19 | Mean field theory of condensation, Corresponding states, Critical point behavior (from L17 & L18) | |

R6 | Recitation | |

L20 | Dilute Polyatomic Gases, Vibrations of a Solid, Black-body Radiation | Problem set 4 due |

L21 | Quantum Microstates, Quantum Macrostates | |

VII. Ideal Quantum Gases | ||

L22 | Hilbert Space of Identical Particles | |

R7 | Recitation | |

R8 | Recitation | Problem set 5 due |

E3 | In-class Exam 3 | |

L23 | Canonical Formulation, Grand Canonical Formulation | |

L24 | The Degenerate Fermi Gas | |

R9 | Recitation | |

L25 | The Degenerate Bose Gas | Problem set 6 due |

L26 | Superfluid He^{4} | |

E4 | Final Exam |