Let me lay it out for you. Lex and Terry (syndicated radio show for those that don't know them) often suggest playing the "He who cares the least" game. Just act like you don't really care if she likes you or not. No need to be rude or overly aloof, just strike up a conversation and leave with her guessing about you. After a couple of days, speak to her again...same drill. Next time, suggest, (don't ask ), that the two of you go do something--not a nighttime date though--coffee, lunch, study at the library, etc. Keep up this until you feel the time is right and believe me, if it's meant to be, you'll be getting more signs from her than you'll know what to do with.
Repeat after me: "I don't care if she wants to go out with me or not."
Greg