Doctors are required to have extensive knowledge of chemistry, physics, and biology before even beginning medical school. Those are all highly scientific fields with centuries of practice behind them, not to mention medicine itself which is nearly as old as people are.
Yes, but computer scientists are required to take engineering physics also, as well as creative writing sometime. We are talking about the practice of medicine, and if you know any doctors, they aren't exactly very interested in math (they have a lot of other stuff to do!).