Should a good mathematician know a basic level of university physics?
I am currently in my first year of a Mathematics degree (I am not from the USA), and in both semesters I have only failed the course of Physics II (I passed Physics I).
I admit that it frustrates me to have to retake an exam for a course that I do not fully understand. It is not useful for any other course in the degree, it does not help develop the mathematical rigor that is expected from first-year students, and I simply do not consider it necessary for a mathematics student.
We have all studied subjects that we do not like, are not good at, or consider useless for the rest of the degree. But Physics II (for me) satisfies all three conditions.
So, is it really necessary for a mathematician to know some university-level physics in the same way that a basic level of programming is considered useful (which I do consider useful)?
Or is it actually not necessary, and a mathematician should only study physics if they are interested in it?