Lecture 1: Topological Thinking
Lecture 2: Topological/Differentiable/Smooth Manifolds
Lecture 3: The Tangent Space
Lecture 4: Tensors and Differential Forms
Lecture 5: Exterior Derivative, Integration, and Hodge Star
Lecture 6: Lie Groups (by Masih Ansari)
Lecture 7: Lie Algebras (by Mahdiyar Niaei)
Lecture 8: Representations of Lie Groups and Lie Algebras
Lectures 9 and 10: Lorentz and Poincare Groups: an Introduction to Special Relativity
Lecture 11: Representations of the Lorentz and Poincare Groups: Fields and Particles
Lecture 12: Introduction to Vector and Fiber Bundles (by Bamdad Torabi)
Lecture 13: Principal and Associated Bundles
Lecture 14: TBA