Before I start studying chemistry, I want to gain some knowledge about the fundamentals of mathematics and physics that are important to better understand the principles of physical chemistry, especially since I haven't taken any maths or physics courses yet. Which fields of maths and physics should I take a look at? Suggestions for literature are welcome.
There are three levels of scholarship. An analogy is that someone has looked at the ocean from far away and he feels that he has seen it all (standard undergrad mindset). Next stage, is when you walk on the beach and your feet become wet and dirty with sand. You have a feeling how ocean water and the beach feels like (fresh MS/PhD). The higher level of scholarship is when you are deep diving into the ocean and realize there is too much to learn and the knowledge you have is quite limited (a mature scientist who has spent his life in research).
Since you are saying that you have not taken mathematics and physics courses, it may not be the right time to begin a proper physical chemistry course.
Couple of nice books:
Mathematics in Chemistry An Introduction to Modern Methods by Hecht
Mathematics for Physical Chemistry by Robert G. Mortimer
Get hold of them from a library and get a feel for it (the first level of scholarship). You don't need to master all to open an undergraduate physical chemistry book. You rather learn it along the way. See if you like the subject in general.