Here is a general list of supplies as suggested by Max Brooks in his survival guide. Always remember to have enough supplies per person in your party.
A First Aid Kit. Photo courtesy of WikiHow.
Depending on where you are located and the safety of the vicinity, you can send out party members in groups to raid places like the dining halls or snack machines for needed food supplies.
Be sure to obtain as much purified water as possible, for access to clean, running water may not last long in the increasing chaos. Stick to non-perishable foods and be sure to have a manual can opener, lighter and small pot to heat up foods.
It's always a good idea to have a small or medium sized medical first aid kit around your dorm if possible, but if you don't have one or can't get to it, definitely try to obtain one as soon as possible.
Don't assume that the only injury you can get is from a zombie - other accidents can happen at any time. A medical kit is essential in any survival situation, so stock up on an aid kit and supplies beforehand or search for some in your college's student health care center if your left without one during an outbreak.