Are there courses that both nursing and premed students have to take?
Chemistry, Biology, Anatomy/Physiology would be comon along with a Statistics course.
Not really.
The bio, Chem, etc classes that Nursing students take are usually the easier versions - sometimes listed as bio for non majors, or Chem for non-majors.
the premed students are supposed to take the Bio, Chem, Ochem versions for majors.
Nursing students usually have to take A&P. Premed students usually do not.
However, if a nursing student wants to keep options open, then take the science versions for majors. Usually the nursing program accepts those.