tiz: Norwich is a university with a Corps of Cadets (military school students) and a separate group of regular college students (civilians) who attend Norwich as if it's a civilian college. The OP is a member of the latter group and at Norwich, ROTC is only open to the Corps of Cadets. This may be what's confusing you.
As further clarification, Norwich is one of the six Senior Military Colleges, the others being Virginia Tech, Texas A&M, The Citadel, VMI and North Georgia College & State University. These schools all have a full-time corps of cadets which is technically separate from their ROTC programs - some of them do not require their cadets to be in ROTC programs. It's all on wikipedia.