Classical Field Theory 1100-4CFT

1 Geometry: manifolds, maps, tensors, groups
2 Action and variational principle
3 Scalar fields: static solutions to e.o.m.
4. Global symmetries and conservation laws
5. Phase transitions and spontaneous symmetry breaking
6. Electrodynamics
7. U(1) coupling to matter - gauge invariance
8. Non-abelian gauge (Yang-Mills) fields
9. Yang-Mills coupled to matter and topological solitons
10 Gravity as gauge theory