For what it's worth, my father used to teach math. He didn't like to have too many engineers in his classes because he said all they wanted to know was what numbers to put into a formula and what do with what came out. They really had no interest in understanding WHY the formula worked. In essence, they were cookbook types. Now, I'm sure that this is a generalization with some exceptions but that was his observation over a number of years. This makes me think it would be more academically rigorous if we had football players majoring in mathematics rather than engineering.

Or, how about pre-med or biology?