Special relativity, Lagrangian mechanics, electrodynamics, quantum mechanics
Upon successful completion of this course students should be able to:
Demonstrate good proficiency in the mathematics of curved manifolds, the physics in curved space-time (how "space tells matter how to move") and the physics of curved space time (how "matter tells space how to curve".
Landau and Lifshitz, The Classical Theory of Fields
Misner, Thorne, and Wheeler, Gravitation