Engineers do a lot of math and I don't think there is that much difference between the two. Especially EE, all the circuit theory they do is very heavy on math. I think it's safe to say something like math ability and the ability to program co-relate well. People with good math ability do not always choose it as a career. C.A.R. Hoare, the inventor of the QuickSort was a Humanities student before he saw the light and turned to statistics and CS. AS to a course of study, I think it's the man, not the training.