Ha, I'd bet there's a 1 firearm in every 5 vehicle out here.. UT aint Illinois.
BTW.. I'm researching a bit more. I'm quite certain that the school has ZERO ability to tell you that you cannot CC. UT is one of the best states for firearm laws and conceal carry.. I'm 98% sure that whatever school you are attending, they are illegally telling you to leave your firearm in your vehicle.
I'll post up what I find. What school do you go to?