How to take it further

So i met this chick at the computer lab and see her around campus sometime rarely, like 3 times a month maybe. All i did was smile and gave her a slow glance. She smiles back almost everytime and gave slow glance too but I cant just assume she is flirting with me as well. Im single and never dated before so just asking for further advice as to how to take it to the next level, if u've been there please help. Like how should I approach her? whether I would see her again maybe while walking to the next class, in the hallway or in a computer lab. It would be weird to come up and ask for her name or whatsoever since its a sign of desperation because we are complete strangers and never engaged in a conversation.

I always look for an opening. Like... say she's in the computer lab skimming through music websites or something like that. Sit down next to her and say something about it. Then you just kind of talk a little about music, then partway through the conversation tell her your name. You can try for a number if things are going well. Maybe joke a little, do some blatant flirting. Whatever works for you. Just try to be relaxed and cool about it.

You could always start with, "Hi." If she's glancing at you and returning your smiles, there's a chance she's just waiting for you to give her a reason to speak with you. Stare and smile too much without speaking and you might give off creepy vibes.

Make up an excuse to ask her something, or get her to help you with a computer problem...be creative to start a conversation. After you start talking, if you like her, smile and tell her "I am thirsty, you want to get a soda or a coffee? The worst that can happen is she'll say no, and you did nothing wrong. You were just being friendly. That's where it all starts. :)

Ask her if she's seen your pocket protector anywhere and then strike up conversation. Make her laugh. If you can make a girl laugh - you can make her do anything...so says Marilyn Monroe. I don't know if she'd be the first person I'd ask for advice, but hey...the quote makes sense to me...

^No, that's totally true. I always say if you make me laugh enough in a certain period of time, you're pretty much in.

I always use humor...it doesn't always work cause girls have different senses of humor. I was killed before, I said so many funny things a cockadoodoledoo would explode but nooooooooo she would not laugh at any of them...stupid as bitch. Anyways, what hell is a pocket protector?

Why would it be a sign of desperation if you approached a complete stranger and asked for their name? If anything it is a sign of confidence as only an alpha male would behave in that manner. Take hold of the circumstances and if she comes within grasp then seize that opportunity to ask about her. If you are going to sit there and wait for the perfect opportunity or idealized one currently in your mind then you do not deserve to ever to get to know her.

Goodluck,
Borealis