Interesting question...
I would think it would just say University of Illinois College of Medicine like it says at current student webpage:
http://www.medicine.uic.edu/information_for_current_students
What I think is interesting is how they come up with class rankings for their students in the end for residency match purposes. How do you compare rank students collectively when they are at different campuses and even different curriculums. I asked the Dean at the Rockford campus this question and he is yet to respond.
Oh.... and I got my packet today! Finally allowed to exhale. Looking forward to meeting those who take the Chicago or Urbana-Rockford track!!