Why don't you start with, "do you want to go out and get a cup of coffee sometime?"
I think if you can hang out after class or in a non-class environment, she'll understand that you're into her... and if she says no or gives you some lame excuse, then you know that she's just a flirt and you're probably not going to get very far.
Test the waters and see if you have things in common with her before asking her to hang out... for instance, ask her what she does for fun when she's not worrying about schoolwork... if she likes art, then take her to an art museum or a showcase (which every university usually has)... if she's into certain types of music, find out some places you can go for her music... in other words, use your brain... it's not that hard.
Good luck.
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