Since you don't know her, I would suggest starting off with small talk like this. It doesn't usually take too much confidence to give someone a compliment. And since she doesn't know you, if you come across too strong she may get the impression that you're just a player or aren't being very serious.
After that, when you see her in the halls and stuff, smile and say hi, and strike up conversations with her by asking how her classes are going, how her weekend was, what her plans are for the weekend and stuff like that. If any of your friends are having any parties or get-togethers ask if she'd like to go; or arrange your own. See if you can get some of your friends to go to a movie or something and see if she'd like to come. Things will probably be easier and more comfortable in a group/friend setting at first, and then take it from there.
I wish you the best of luck.
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Erin Donovan's contributions were written in the year before she began college, at which time she was WholeFamily's Senior Teen Advisor.