That definitely rings true to me and does indeed sound exactly like social anxiety. I've had social anxiety for a long time; it's very debilitating. I've had the college thing, too. I recently got back into college (enrolling soon >.<) to redo one of my GCSEs, and so I am expecting a similar experience all over again, ... at least this time I know I can be quite a nice chappy to hang out with, or, so people tell me. xD It's only part-time. I remember when I was in a full-time course, back before I knew what was really going on with me; it was a NIGHTMARE. I was so anxious it was insane; I bailed out of college twice because I couldn't handle it. I would be sweating, shaking, pacing, having heart-palpitations, unable to concentration, etc; scary experience. I believe there were times when I felt overwhelmed and my eyes may have "leaked" a bit, ... I know this happened other times, but I believe it was like that at college, as well. So I believe I can relate.

Go to a doctor. Get some professional help, ASAP. Medication can help... I find the beta-blocker Propranolol very helpful (certainly not a cure, though) and CBT for my OCD helped a bit; I imagine treatment more focused on the anxiety would help me more. Please get help! You're not alone. I've been there, and I am there, every day of my life, as has been the case for the past 13 years, if not more.