Study Plan for Physics Students: What to Study After Calculus III?

[Tosh5457]

Hello, I'm studying Physics at the university, and I realized that the 1st semester of the 2nd year is the last semester that has a mathematics discipline (it's differential and integral calculus III).
I had linear algebra & analytic geometry and differential and integral calculus I on the 1st semester, and now on the 2nd semester I have differential and integral calculus II.

Obviously they don't teach all the necessary maths at the university (and 3rd year physics students complain about it)... So now I'm going to study linear algebra by myself because I didn't study it much last semester.
My question is what should I study next? I'm not rushing it, I know I'll still take a long time to study linear algebra, but I'd just like to know from the start what should be my plan.

Thanks

 

[Klockan3]

You should study differential equations thoroughly, first ODE's and then PDE's. They are extremely important in physics.

 

[Tosh5457]

You should study differential equations thoroughly, first ODE's and then PDE's. They are extremely important in physics.

Ok but we study that at the university, so can you suggest another thing?

 

[micromass]

Functional analysis (for quantum physics) or differential geometry (for relativity) seem like good options...

 

[Klockan3]

Ok but we study that at the university, so can you suggest another thing?

Are you sure that you did it properly? If you did that just in your calculus courses and not in a proper one then it wasn't done properly. Do you know what Fourier transforms are for example?

 

[Tosh5457]

Are you sure that you did it properly? If you did that just in your calculus courses and not in a proper one then it wasn't done properly. Do you know what Fourier transforms are for example?

I haven't learned it yet, I think it's on the 2nd year. I don't know if it's done properly though, I'm going to ask someone on the 2nd year about it.

 

[Klockan3]

I haven't learned it yet, I think it's on the 2nd year. I don't know if it's done properly though, I'm going to ask someone on the 2nd year about it.

If you got a separate course for it then it is probably alright. But it is there most of the linear algebra is useful for example.