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Hmm, on the one hand yes, strike while the iron is hot, go for it, and off campus opens up more possibilities than on campus. But then again, might there not be more resistance during a semester where I take her class than at the end of said semester? Considering that I'm not struggling in this particular class, wouldn't the tutoring angle be not much more subtle than just bopping up and seeing if she wanted to hit the town? Also, would Gambler's multi-level-communication apply, with verbal at 0% sexual but eye contact and tone of voice starting at say 10 and working up, so anything that comes later is anticipated and not completely out of the blue?
Personally I feel you're over thinking this, this is the time you want her so go for it. Also I believe if you approach her with the correct frame she will agree to tutor you're. Try building small bits of rapport after an before class with quick 2 min conversations. Google jokes about the subject..walk up to her after class an say, hey professor___ check this out? Also print out contraversal articles about the subject she teaches. She'll be dying to discuss this with you at a later time. A few weeks of this an she'll have to agree to the tutoring. If she she gives some excuse to why she can't tutor then completely ignore her for a week, no eye contact during class. She'll approach you