Approaching a girl.....

I have almost the same problem ... She might actually be interested. If you're having good conversations in class then there is a really good chance that she would be into hanging out outside of class. Try just asking her casually to go to get coffee or something. Don't make it sound like a date, just make it sound like you want to hang out. She will most likely agree to go with you. See how that goes, and if you have a good time there, take it from there! I know in my case, I'm really shy unless the guy approaches me, even after we have had a good conversation in class, even flirted some. The class is three times a week but I may only go once or twice, and even then I can have a great week, and then it'll be a while before things go that well again. Definitely ask her to hang out and see how you like her. You aren't going to get to know her as well as you would like to if you only talk in class. If you see her a lot in-person would be the best way to ask her, but if not do it on the phone. I really hope it works out for you!

Maybe ask her if she wants to discuss an assignment or something from class, over coffee.
I Love hanging out with peopel from uni, we have events at uni and you meet new people.

The age difference doesn't both most people, but I know I have a friend who is younger than me and he isn't very mature, but he's good to muck around with.

You could also ask if she wants to go for a drink one night, go somewhere relax and get to know each other away from school.

Hope this helps, Good Luck

i think keep your on class conversations going on for a bit mabey have 2 more off the same then ask her casually to her face

you have a better chance than asking a girl in the bar, just like the anonymous answered its way easy to talk to a girl or even asking her out to discuss things from the class you'r taken with her. one year is not a big deal after all. don't do Facebook or txt.. talk to her in person that will show her you'r confident and most girls like that in any guy.

I agree with what Mrs. Anonymous User said ;)
Invite her to have coffee and talk over stuff from your classes. Since you're in the same classes you even have a good topic as a lifesaver and you can ask her anything you'd like to on this meeting.

If it goes well, you should say so like "Thanks for this, it was fun, if you're up for it we could do it again!?" If she smiles and agrees, just don't wait for another chance to talk about class stuff again. I'd let her leave first and next time I were to see her on university / school I would go with something like "Hey, you know, actually I don't want to wait for some topics of class we could talk about, would you maybe like to got to a movie with me"
(Of course you could exchange movie with any place you'd like to go. This can be the Mall, a Restaurant, even another Coffee just with different topics this time ;))