<human>: Trying to keep this as short as possible.

This semester I've been taking a class at university that meets 4 days a week (Thursday is the day off). There is an attractive girl who sits across from me in the class (it's set up so that all the seats are in a "U" shape and there are 3 rows at different elevations, so there is a decent amount of people in the class). I noticed early on that I would glance at her fairly frequently in class, and I even caught myself staring at her a few times. Now, I'm not obsessed with her or anything, but I think she's pretty cute. My problem is that I don't know how I can approach her to talk.

After each day of this particular class, I have another class immediately after it, so there's no time to chat when class lets out. Now, I have seen her in the cafeteria on Thursdays, the only day we get the chance to eat lunch during the usual class time. The first time she was alone and I was dumb and I didn't make a move. The second time I saw her, she was with a friend, so I couldn't really do anything that time. My question is, in the off chance that I see her this Thursday in the cafeteria and she's by herself, how do I just go up and make conversation with her? We've been in the same class for about 3 months but never spoken. Do I introduce myself and then just jump in and say "I think you're pretty attractive. Want to grab coffee some time soon?" Any advice helps.

Give me the gist of the text in a nutshell
<bot>: Want to talk to girl in class but the only opportunity I have is when I sometimes see her at lunch on 1 day in the week. How can I speak to her without sounding like a total creep?