Obviously you can keep kits with lots of gear in both your truck and dorm on one side of the tracks, the Q is what to EDC on the other side while you are attending classes. The only thing I'd be concerned with is immediate, how to egress. Things that come to mind are face masks, eye protection (dust), leather gloves, appropriate footwear.

Where do you store your bike while in class? Do you have a bike tool kit?