Is analysis necessary to know topology and differential geometry?

[Jorriss]

Group theory: mathematics courses usually focus on finite groups, while physicists usually use infinite matrix groups. For this reason, math courses on group theory do not tend to be very useful.

Finite groups matter too! I think an algebra course on group theory could be fairly useful so long as one doesn't stick around for ring and field theory (as those have not been as useful in my experience).

 

[R136a1]

Finite groups matter too!

I'm sure they do. But once they get into Sylow theorems and simple groups, I think it's a bit less useful.