>>6318085I'm going to agree with a few others that joining a club is a huge step. Taking that a step further, you can start talking to people who're next to you in classes (if you normally sit in the same places). Organize study sessions when exams come around or meet up to do homework together or some shit. I met my current friend group in a series of random, extremely lucky events, but it all started with talking with the girl next to me in class freshmen year.
Another tip, keep your door open when you're in your room. Encourage your anti-social roommate to do things with you (go to lunch, dinner, midnight runs to superstores, etc). That connection is going to be one of the most important, and I'm sure he/she, not matter how anti-social they seem, are likely feeling just as you are.
It'll take some time to get over the homesickness and stuff. Just know it'll get better and don't get discouraged. I'd also set goals for yourself - Do X by December, or be involved with Y by October, stuff like that.