re: #50 Belafon

Very comprehensive list of what students encounter in undergrad and grad courses.

I guess it depends upon your own personal inclinations… but at some point the physics study will need to include more empirical practice.

If you’re inclined to do mathematics then that is useful in a kind of physics study but mathematics can be studied for its own goals.

Physics, like all sciences, can be rewarding just as an empirical exploration without much advanced mathematics.

Indeed, a great deal of physical science is done with little mathematics beyond basic analysis. Though as a student the 4 years spent going through a full course of applied mathematics allows one to get a better grip on theoretical physics.

It’s an ambitious list for self-study. You might look into formal enrollment in some classes here or there… or find study-groups in which you can hang.