TexasCHLforum.com

Whether or not they can be armed depends on the state. Texas allows any college, even private ones, or any school district to have their own police departments. They would be police officers with full police powers. Some states do not allow their schools to have their own cops, or allow them to be certified cops but unarmed.

And while I really do not understand how you can employ someone as a cop and not arm them, we do that to at least one group (officer commissioned by the Pharmacy Board, Occupations Code chapter 554.010) in Texas.