Can you sit next to her one class and speak to her before/after the lecture? Stand near to her while you are waiting outside for class to start?
Then you can say something to her about anything, really - "hey, how's it going?' mention the weather, the lecturer, something of interest in the lecture, ask a question about something covered in the lecture, just get the ball rolling. If she is responsive, it should develop into a conversation and you can introduce yourself at some point - 'oh, I'm John, by the way'. Even if she's not terribly responsive, at least you've broken the ice and you can just say 'Hey, how's it going?' again next time you see her.
If you focus on starting a conversation, rather than introducing yourself and getting her name instantly (that can happen once you've established the conversation) then it should be easier. Just see how it goes. If she is friendly, great, you've got the lines open. If she's not friendly, well, chalk it up to experience and move on.
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