advanced numerical methods and optimization for physics 👉 integration and differentiation: numerical derivatives, error estimates, simpson's rule 👉 ordinary differential equations: eulder and euler-cromer methods, verlet method 👉 linear Aagebra and FFTs: time series for the damped driven pendulum, matrix inverse, conditional number 👉 advection and Hhperbolic partial differential equations: implicit advection, lax wendroff, non-linear hyperbolic equations 👉 elliptic partial differential equations 👉 computational fluid dynamics: rayleigh-taylor instabilities