be careful about some 'nonmajor' courses. At our school, the non-major math and physics classes are actually more difficult than the basic physics 101 class that can be used by starting majors.
Definately find out about the professor, but keep in mind that what you like in a professor may vary from someone else. Ask questions like "is the professor fair" do they give coherent lectures, etc. Try to find a student of your academic calibur and ask them.