Hi JermAngela,
up near your class you might try Irazu, a Costa Rican restaurant. They have a veggie section of their menu (you can look at it on chicago.menupages.com). Their oatmeal shake has gotten lots of praise here on LTH.
Heading back toward your neighborhood (by the way, I think your location should say something like "Near South" rather than "South Chicago" which is the name of a suburb), there are a couple of serviceable possibilities on Taylor Street near UIC. Couscous has standard Middle Eastern dishes plus a few Maghrebin specialties. Che Cafe is a coffeehouse with sandwiches, a few Mexican dishes, and a couple of Guatemalan entrees. (The owner is from Guatemala.) I can't find my menu from Che Cafe, their web site seems to have disappeared, and they aren't on menupages, grrr... But I remember the owner saying his black beans are vegetarian (hence kind of bland for my taste, unfortunately).
Of course, you guys could go to the Patio on Taylor Street -- you can have an Italian beef and your veggie friends can have a french fry sandwich! (just kidding...)
Would Chinatown be too far to go? Lots of vegetarian possibilities there.
good luck and let us know where you end up,
Amata