subjects like Solid state chemistry, QFT, QCD, general relativity, particle physics, etc look interesting to me and i really would like to master them at some point. so far i have taken basic physics, calculus i-iii, introductory courses to ODE and PDE, pchem, and 2 introductory modern physics courses. the first modern physics course, which i signed up for on a whim, was really what introduced these subjects to me. i am nearing the completion of a BS in chemistry (just a couple of labs and inorganic 2 to go, im a transfer student so my schedule isnt like everyone elses) and need to take a 4000 level math course if i want a minor in math. what courses do i need to take to prepare for graduate level courses in these subjects? would i be able to study these as a graduate student if i pursued a PhD in physical chemistry? also, what is a 4000 level math course that i could learn with the very limited preparation ive had? i never took linear algebra but have been able to get by without it where it was listed as a prerequisite Here is a listing of 4000 level math courses offered by my school: some courses will list as a prerequisite for example MATH 3334: Advanced Multivariable Calculus which in turn has as a prerequisite MATH 3333: Intermediate Analysis, neither of which have i taken. is it foolish to expect to be able to take a 4000 course without more of a foundation in math?