Well, mine was easier than usual. I was assigned her in a group project, where the third person dropped out. I needed her phone number anyway, so I asked for it, telling her maybe we should hang out sometime to "collaborate" because I thought she was "interesting." Notice how a few carefully selected words makes an impression.
Get her phone number. Have a conversation with her, and keep it going until she has to get going and offer your number to continue the dialog sometime.
I wouldn't give her flowers without first getting to know her through the internet or phone for a while, but it's your call. Good luck! :)