Course

Freely falling frame, Geodesic equation, Curved metric, Rindler space, Newtonian limit

Nambu-Goto and Polyakov actions, Einstein's path to GR, Einstein's elevator, Gravitational redshift

Introduction (with the participation of Rob Spekkens!) and mathematical prerequisites.

Special Relativity: Spacetime and causal structure, Lorentz transformations, Relativistic particle

Useful functions to use with for loops, more about NumPy, plotting using Matplotlib, curve fitting using SciPy, list of other useful libraries and tools

Basics of Jupyter notebooks, basics of Python, control structures, basics of NumPy 

• Set and SetDelayed
• Test and condition
• Replacement
• List manipulation
• Loops

Divergent series

Relativistic particle, Relativistic field theories, Canonical energy momentum, Action for Maxwell

Saddle-point approximation, Stokes' phenonmenon

Retarded Green's function, From Maxwell to special relativity