Lecture 1 - Introduction
Lecture 2 - Review of Prerequisites
Lecture 3 - Models, Symmetries, and Scales - 1
Lecture 4 - Models, Symmetries, and Scales - 2
Lecture 5 - Characterization of Phases
Lecture 6 - Fields and Grounds States
Lecture 7 - Interacting Particles Model
Lecture 8 - Liquid-Gas Phase Diagram
Lecture 9 - Monte Carlo Method
Lecture 10 - Ising Model Monte Carlo
Lecture 11 - Analytical Solution to Ising Model
Lecture 12 - Transfer Matrix Approach
Lecture 13 - Domain Wall Excitations in 2D
Lecture 14 - 2D Ising Dual
Lecture 15 - Series Expansion - I
Lecture 16 - Series Expansion - II
Lecture 17 - Quantum Models
Lecture 18 - Transverse Field Ising Model
Lecture 19 - TFIM Ground State
Lecture 20 - Perturbation Theory of TFIM
Lecture 21 - TFIM Dual
Lecture 22 - TFIM as Fermion Model
Lecture 23 - Solution of 2D Ising Model
Lecture 24 - Approximate Methods
Lecture 25 - Variational Principle in Action
Lecture 26 - Mean Field Theory
Lecture 27 - Mean Field Theory in Action
Lecture 28 - Bose Condensation
Lecture 29 - ⁴He and ³He Mixture - Blume-Emery-Griffiths Model
Lecture 30 - Landau's Phenomenological Approach to Ising Model
Lecture 31 - Landau's Phenomenological Approach for Ising Tricriticality
Lecture 32 - Landau Theory for Continuous Symmetry
Lecture 33 - Landau-Ginzburg (LG) Theory
Lecture 34 - Functional Integral and Free Energy
Lecture 35 - Saddle Point Gaussian Approximation (SPGA)
Lecture 36 - LG-SPGA and Excitations
Lecture 37 - LG-SPGA and Correlations
Lecture 38 - Scaling Hypothesis
Lecture 39 - Renormalization Group (RG)
Lecture 40 - Real Space RG - 1D Ising Model
Lecture 41 - Real Space RG - 2D Ising Model
Lecture 42 - Wilsonian RG - Gaussian Theory
Lecture 43 - Wilsonian RG - O(n) LG Theory
Lecture 44 - Beyond Gaussian - O(n) LG Theory
Lecture 45 - Wilsonian RG - O(n) Non-Linear Sigma Model
Lecture 46 - 2D XY Model - Kosterlitz-Thouless Transition
Lecture 47 - Special Topics - 1: Quantum Memories
Lecture 48 - Special Topics - 2: Associative Memories - Hopfield Model
