Math Methods II

Course introduction

Lecture 1: Symmetry and Groups. 

Lecture 2: Symmetry and Groups 2.

Lecture 3: Finite groups.

Lecture 4: Finite groups 2.

Lecture 5: Representations 1

Lecture 5 (supplementary) 

Lecture 6: Representations 2

Lecture 7: Representations 3

Lecture 8: Reps final. 

Lecture 9: First look at SU(2)

Lecture 10: Lie groups and algebras: Generalities 1

Lecture 11: Lie groups and algebras: Generalities 2

Lecture 12: SU(2) reps

Lecture 13: SU(2), SO(2).

Lecture 14: Clarifications

Lecture 15: SO(3)

Lecture 16: SU(2) applications - I

Lecture 17: SU(2) applications - II

Lecture 18: Roots and weights - I

Lecture 19: Roots and weights - II;  SU(3).

Lecture 20: Guest lecture on Young Tableaux

Lecture 21: STR and Lorentz group. 

Lecture 22: Lorentz group II

Supplementary lecture: Quotient group.

Lecture 23: First look at PDEs

Lecture 24: Classification of PDEs; boundary conditions. 

Lecture 25: General methods in 2d. 

Lecture 26: PDEs in 2d - Characteristic curves

Lecture 27: 2d Wave Eq

Lecture 28: PDEs & BCs

Lecture 29 Part 1: Sturm-Liouville theory

Lecture 29 Part 2: Sturm-Liouville theory

Lecture 30: Green's function for ODEs -1

Lecture 31: Green's function for ODEs - 2

Lecture 32: Riemann's method

Lecture 33: Green's function for PDEs -1 

Lecture 34: Green's function for PDEs -2 

Lecture 35: Green's function for PDEs -3

Lecture 36: Green's function for PDEs -4