As a math student with lots of physics friends. Physics and math are very different. One way to explain this might be that physics isn't about doing math, but

As a math student with lots of physics friends. Physics and math are very different. One way to explain this might be that physics isn't about doing math, but using math to do computations. Meanwhile, math is about abstract ideas and rigorous proofs. Physics doesn't care about wondering if an integral is a well-defined concept, nor does it care about the real numbers being uncountable. Similarly, maths looks at the formulae in physics and thinks those things are way to complicated. Our lin-alg course is joined physics and maths. The older physicists complain about all the proofs needed there. Mathematicians lament the lack of rigor in the same course.