Story time : a few days ago I was at a party (I only approach girls at parties , clubs and bars , I have never approached a girl anywhere else) me and this really good looking girl keep making eye contact , so I approach her , only to talk to her and find out we are in the same class at university . After she told me that we are in the same class I got really nervous and said "My friends are looking for me so I have to go" and left (said that in a pretty polite way tho) . Today I saw her in class (she even sat near me) but I acted like I didn't notice cuz I was too nervous . My friends caught her looking at me a few times tho .

So my question is : After all that , how can I approach her and maybe set up a date ? Or do I just let it go and move on to the next girl ?