1. 6.867 Machine Learning (Fall 2019, MIT)
   • Lecture Scribes
   • Recitation Notes
   • Personal Notes
2. 8.08 Statistical Physics II (Spring 2019, MIT)
   • Recitation Notes
3. 8.231 Physics of Solids I (Fall 2017, MIT)
   • Lecture Notes/Slides
   • Recitation Notes
   • Problem Sets

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6.867 Machine Learning (Fall 2019, MIT)

Lecture Scribes

• Sep 5: Lecture 1: Introduction [PDF]

Recitation Notes

• Nov 8: Variational Learning [PDF]

• Nov 15: Sampling Methods [PDF]

Personal Notes

• Optimality of Bayes Classifier with a Reject Option [PDF]

• Jaccard Index is a Kernel [PDF]

• Exponential Kernel is a Kernel [PDF]

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8.08 Statistical Physics II (Spring 2019, MIT)

Recitation Notes

1. Feb 11: Canonical Ensemble, Thermodynamic Quantities, Energy Cost of Information [PDF]

2. Feb 19: Classical Ideal Gas, Carnot Cycle [PDF]

3. Feb 25: Equivalence of Ensembles, Adiabatic Demagnetization, Diatomic Ideal Gas [PDF]

4. Mar 4: Ginzburg-Landau Theory [PDF]

5. Mar 11: Ising model in 1D: Exact Solution and 4D: Mean-field Theory [PDF]

6. Mar 18: Common Problems in Quiz 1 and Psets, Grand Canonical Ensemble, Absorption of Classical Ideal Gas [PDF]

7. Mar 25: Common Problems in Psets, Equivalence of Ensembles, Bose-Einstein Distribution, Temperature and Chemical Potential as Lagrange Multipliers [PDF]

8. Apr 8: Non-interacting Bose Gas [PDF]

9. Apr 23: Second Quantization of Bosons, Bogoliubov Approximation and Gross-Pitaevskii Equation [PDF]

10. Apr 29: Vortices in BEC, Fermi-Dirac Distribution [PDF]

11. May 6: Non-interacting Fermi Gas, Relativistic Fermi Gas, Absorption of Fermi Gas [PDF]

12. May 13: Lattice Random Walk, Continuous Random Walk and Diffusion [PDF]

13. May 21: Final Review [PDF]

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8.231 Physics of Solids I (Fall 2017, MIT)

Lecture Notes/Slides

• Sep 21: Tight-binding Chain Revisited, Diatomic Tight-binding Chain [PDF]

• Nov 9: Impurity Levels in Semiconductors, Interface Effect [PDF]

• Dec 12: Course Summary [PDF]

Recitation Notes

1. Sep 8: More on Drude Theory, Review of Quantum Statistical Mechanics [PDF]

2. Sep 22: Phonon Bands: Lattice Vibration [PDF]

3. Oct 6: Reciprocal Lattice, X-ray Diffraction [PDF]

4. Oct 20: Electrons in Magnetic Field, Integer Quantum Hall Effect [PDF]

5. Oct 27: Topological Insulator: Dirac Fermion as k·p Theory, Edge State from Domain Wall Problem [PDF]

6. Nov 7: Ginzburg-Landau Theory of Superconductivity [PDF]

7. Dec 1: Time Reversal Symmetry, Local Stability of Dirac Fermions in Graphene [PDF]

Problem Sets

1. AC Conductivity in Drude Theory, Electromagnetic Waves in Metals [PDF]

2. Electronic Density of States, A Phenomenology Model for Optical Property of Solids [PDF]

3. Pauli Paramagnetism, Friedel Oscillations [PDF]

4. Tight-binding Chain Done Right, Tight-binding Model for Polyacetylene, Phonons in the Diatomic Chain [PDF]

5. Some 3D Crystal Structures, Reciprocal Lattice, Emergent Dirac Fermion in Graphene [PDF]

6. Nearly Free Electron Approximation in Two Dimensions, Twisted Boundary Conditions [PDF]

7. de Haas-van Alphen Effect [PDF]

8. Bose-Einstein Condensation, Pairing Instability of the Fermi Surface [PDF]

9. Berry Phase, Berry Curvature and Chern Number [PDF]

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