Ask her how she is liking the class so far. Talk to her about the weather. Doesn't matter. Take any time to make a conversation. Become friendly/friends with her. After the 3rd conversation or so, see if she wants to grab some coffee. There will be your chance to flirt with her.
First off I just want to thank everyone that has contributed to this thread. And TrippAdvice, this is our 3rd/4th week of class and I have been joking around with her not always directly, but with people around us too. This week I think I'm going to ask her out for coffee. Your advice was spot on with my plan - I like that haha means i'm heading on the right track. If she says no then I'll do my best to make it less awkward, because maybe I can try again later hehe.