So what do I do now?

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Hi /adv/, I'm a 19 year old guy working his way through the first half of his Freshman College Year, studying for a degree in Computer Science. All during High School I was a very introverted and socially isolated guy. I didn't have much opportunity to date the girls at my old high school since most of them didn't interest me, and the class size wasn't very big.

I've met a girl that I think is very attractive in my classical history class, one of my favorite courses. It took me several weeks to work up the nerve to talk to her, but I did manage to. However, I have a problem. I only have my Classics class twice a week, during Tuesday and Thursday, and I can only see her then, and only talk to her after class. This can be difficult, though, since she tends to wrap up her things and leave class at a very brisk pace and I have to try to catch up with her. However, if I do manage to catch her after class, our paths pretty much line up and I can talk with her for a while, yet I still only see her twice a week.

It's difficult to talk with her, get close to her due to how little I actually see her after class. Being the idiot that I am, I gave her my number in a note asking her to text me. She has yet to.

She doesn't seem repulsed by me. I'm fairly average looking. If anything, I get the vibe that she's more shy, since she tends to sit by herself at the front of class and doesn't talk to many people in our class. In our first conversations, she had her roommate with her, and her roommate seemed to do most of the talking. As far as I can tell she seems pretty withdrawn.

I've been wracking my brain for a while on what to do, and I'm running out of time, since it's over half way through the semester as I might not see her again.