If you're nervous, then there should be other people too that are just as or even more nervous. Question is, are you big enough of a person to make the other people less nervous around you.
Here's how I see meeting people... If you don't try to at least meet one person, then you're in the same position that you started in. Nothing changes.
If you try and they're nice enough to go carry on with whatever you're talking about, then you have one person in class that you know.
If they say no, then you're back to where you started. Nothing wrong with rejection, it is part of being human and having volition.
Do find something interesting to talk about, say events happening around campus. Ask if they've heard about the event and what they think. Another one is opinion questions, ask them their opinion on something, whatever it is.
Example (using an event).
You: hey, so there's this underwater basket weaving class in the pool on Thursday. Not sure what it's like. Have you heard of it? Like would they give you air tanks down there?
Them: OMG, yeah! Its the most awesomest thing ever!!! Though they don't give you air tanks. You practice holding your breath for so long. You should go check it out.
You: Why's that?
Them: I know the person leading the class. He's really good at making underwater basket weaving really fun, literally, he makes it quite breath taking! At first I thought it'd be boring, trying to half drown myself while making a wicker basket that's trying to float back up to the surface, but it's really interesting how relaxing and zen-like it is. Luckily, after a few bouts of near asphyxiation, I was hooked.
You: I'm Tony, by the way. And you are?
Them: I'm Maria.
You: Nice to meet you Maria, who enjoys being half dead under water.
You: Sorry, it's just my way of remembering people. Maria - likes being half dead under water...
You: I think I might check it out. Can I have your number, so I don't go on my own? Would be nice to have a familiar face.
Maria: No problem it's 555-555-5555.
You: OMG that's hilarious! Is that really your phone number? I thought you only see that in cartoons.
Maria: hey, don't laugh, I've had that number since grade 6 and people used to tease me for it. I thought it was funny too though, that's why I kept it.
Maria starts laughing again.
You: Why're you laughing?
Maria: Just realized it, you're Tony and I'm Maria. Gawd, West Side Story!
You: Oh (not quite getting the reference)
Convo continues, this time Maria carries it...
Example (using an opinion):
You: Is it just me or this prof has a ridiculously thick Russian accent? It kinda reminds me of those 60s spy movies, the ones where the antagonists are members of the KGB.
Them: Yeah, it's pretty thick. I can't quite get it either.
You: Me too, it makes it so much harder to follow. Thank god he writes out everything he says word for word.
Them: Yeah, every gory detail of Czar history.
You: I'm Steve, by the way.
You: So why are you taking this class? (Notice how I asked for why and not what for... if I said what for then they'd say "oh, it's an elective" and that kills the convo).
Tony: Oh, I'm part of a Ukrainian dance group and I'd like to learn more about my heritage.
You: That's so cool!
So yeah, just go and have fun with it! Ask people their opinion and lots of why questions. Stay away from what, how, where and when questions because they can be easily answered with one word answers and that'll kill your convo faster than anything. This rule does not hold water though on Grindr, dunno why guys can't give an opinion yet are more than willing to give more than one pick of their barn yard animal - be it horses or roosters.