k what i would do is try to find situations where you and her will be doing something at the same time. if you cant think of one find one. if she's looking for a book in the library you go look for one too, something like this. but there is a very fine line you NEED to interact with her when you are in there, ask her things, talk to her about things. constantly ask her about her, girls love attention. talk about school, talk about events that are funny. find things she is interested in, (learn about them in your own time) then talk to her aobut them. maybe she is a closet SW fan.( again this doesnt mean ask her directly, you need to probe around the topic). I know this is going to come off as really complicated but ill tell you this much i used to be in the same boat as you. there was a girl in my senoir year that i liked so for like 2 months i talked to her and i sent her flower on valintines day and so on. anyway i could have asked her to grad in like march of that year instead i waited till may and by that time she was going with someone else. this happened cus i didnt jump on the oppertunity, i'll never in my life make that mistake again.
act yourself.( that doesnt mean talk about Scifi things all the time) if you act like something your not, then you are going to come off as being very odd. try to relax when you are with her. And if she doesnt like who you are then she is not worth the effort its that simple.
oh and here is a trick that i often use now, find something that you have done that is really really cool. e.g. ill talk about how i have gone ice climbing, or that i am scuba diver or another good one is how i have worked with ESL students for 8 years and went to japan on exchange. this will only work if you have the right experences though.
your first goal is to get her email address so you can talk to her on MSN and stuff. i swear MSN is gold if you can get a very good indication of whats going on.
thats all i can offer for now cus i dont know that much about the situation.
oh and i almost forgot always displace confidence (even if you dont feel confident, bit your lip and be it), and be free spirited.