We discussed wave functions, probability, fermions/bosons, did calculations for particle in a box, the Schrödinger model, and went just up to deriving the hydrogen atom. Nothing super fancy, but it was one heck of an experience!
It's really interesting, in the UK I don't think we did (but I later studied Physics at university) - but we did have Further Maths which covered more advanced mathematics.
Also your project is incredible btw, maybe look into robotics too.
