| LEC # | TOPICS | KEY DATES |
|---|---|---|
| 1 | Introduction Probability density, Cumulative probability | P: One Random Variable (1st half) |
| 2 | Probability examples, Averages, Poisson distribution | P: One Random Variable (2nd half) |
| 3 | Two random variables, Conditional probability | P: Two Random Variables (1st half) |
| 4 | Poisson distribution derived, jointly Gaussian random variables | P: Two Random Variables (2nd half) |
| 5 | Functions of a Random Variable | P: Functions of a Random Variable (1st half) |
| 6 | Functions of a Random Variable (more than one) | P: Functions of a Random Variable (2nd half) |
| 7 | Summation and convolution | P: Sums of Random Variables |
| 8 | Central Limit Theorem | P: Central Limit Theorem |
| 9 | Introduction to Thermodynamics, Zeroth Law, Empirical temperature | A: Ch. 1, 2 TS: pg. 1-3 |
| 10 | Temperature scale, Work | A: Ch. 1, 2 |
| 11 | Exact differentials, First Law of Thermodynamics | A: Ch. 3.1-3.6 |
| 12 | Ideal gas, Adiabatic path | B: Ch. 1 |
| 13 | Phase space, Equal a priori probabilities | |
| 14 | Microcanonical Ensemble, Entropy | B: Ch. 2, 4.3 ME: Sections 1-3 |
| 15 | Second Law of Thermodynamics, Examples using entropy | B: Ch 2. 4.3 ME: Sections 4-6 |
| 16 | Two level system | ME: Section 7 |
| 17 | Entropy as a state function | |
| 18 | Maxwell relations, Thermodynamic potentials | A: Ch. 7 MR: pg. 1-5 |
| 19 | Equivalent statements of the Second Law, Carnot Engine | B: Ch. 3 |
| 20 | Refrigerator, Heat pump, Other examples | A: Ch. 4 CE: pg. 1-4 |
| 21 | Canonical Ensemble, Boltzmann probability, Partition function | B: Ch. 5.1-5.2 |
| 22 | Monoatomic ideal gas calculation | B: Ch. 5.4-5.8 |
| 23 | Two level system | B: Ch. 5.2 |
| 24 | Equipartition, Polyatomic gas, Vibration & quantum harmonic oscillator | B: Ch. 13 |
| 25 | Finish harmonic oscillator, Molecular rotations | B: Ch. 13 |
| 26 | Finish rotations, Maxwell distribution | B: Ch. 13 |
| 27 | Paramagnetism | B: Ch. 5.2, 14.1-14.3 |
| 28 | Adiabatic demagnetism, 3rd Law of Thermodynamics, Thermal radiation | B: Ch. 14.4, 6 |
| 29 | Blackbody thermodynamics, Stephan-Boltzmann Law, Counting Modes | B: Ch. 6 |
| 30 | Classical and quantum blackbody u (ω,T) | B: Ch. 6 |
| 31 | Chemical potential | B: Ch. 7 |
| 32 | Indistinguishable particles, Symmetric vs. antisymmetric | B: Ch. 8 |
| 33 | Occupation number, Fermi gas | B: Ch. 8 |
| 34 | Fermi gas II | B: Ch. 9 |
| 35 | Neutron star | B: Ch. 9 |
| 36 | Bose-Einstein Condensation | B: Ch. 9 |
| 37 | Finish Bose-Einstein Condensation, Summary | B: Ch. 9 |
| Final Exam | ||





