I firmly believe that many of my students have blossomed as writers because of computers, not despite them. You can still manage splendidly in college without a computer, but the experience, in particular the writing requirements, will be much more pleasant if you have one, or at least access to one. If you are interested, talk to your tutor. Many of my students borrow computer time from relatives or friends. Many have even managed to convince the members of their households that pooling resources and buying a computer together is a sound idea.
Many computer stores sell used machines.
The classified advertisements for used computers run several columns long in the daily paper, and you can often find good deals posted by students and staff on bulletin boards around campus. Inform yourself before you go computer hunting. Any of the computer science instructors would be willing to counsel you and answer questions, or ask your tutor. But a student can still thrive in a writing class with a notebook, a pencil and a typewriter. And even if you intend to do your writing on a word processing system, it's still a good idea to have a typewriter around for when the printer jams or the hard drive crashes.