Its really as simple as saying hi, the problem is most guys don't know what to do right after the initial 'hi'.
You do have a class together right? She knows of you?
I can go into different ways to introduce yourself but since time is of the essense I would highly recommend to just go up and say
"Hi my name is so and so and I wanted to know if you want to grab a cup of coffee."
Just be direct and sincere and don't supplicate.
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