I'm not going to ask what mathematics are relevant to physics, I know the answer is all mathematics. I was hoping you guys could help me figure out which specific mathematics topics would be best to take concurrently or prior to certain physics topics, so that the order of my classes is most beneficial to my understanding (I'm a physics major, and I'm going to go a bit beyond a minor in math). I am going to be taking some 300-level differential equations and partial differential equations as well as vector analysis. I could go deeper into these topics or to more statistical/analysis topics, or more pure mathematics, or really anything you could think of including graduate level. I'm looking for the greatest connection to my upcoming physics classes however, which are (in approx. order): -Computational Physics -Intro to Condensed Matter Physics -Thermodynamics -Optics -Mechanics -Electricity and Magnetism 1&2 -Intro to Quantum Mechanics 1&2 -Elementary Particles Any suggestions? Also, take into consideration that I'm considering a more theoretical field likely involving heavy QM and perhaps particle/high-energy physics. I've already gotten the suggestion that a more advanced linear algebra that describes it more fundamentally would greatly benefit QM, and advanced algebra would benefit QFT specifically. This is such a complicated question though that I want to get as much input as possible.