There are many great ideas already, to which I would add:
Take an Interpersonal Communications class:
– There will be women in it, and
– you will be forced to, and learn to, talk to them (and everyone else…)
Dancing class perhaps. But some nerdy girls are more social and not shy as CC project it to be.
Okay honestly yeah like the other people said put yourself out there and get involved in other smaller groups within your college. They will be more intimate setting and give you an opportunity to get to know some girls in a comfortable way that will evolve into something romantic with time. Or you could always just mention to girls in other majors that you are in engineering and they will probs be all over that.
…what??
Simply being a guy in engineering is neither special (you’re the majority) nor impressive (a good percentage of you will fail out or switch majors anyway). Don’t act like God’s Gift to Engineering and you’ll be okay. 
If you are even mildly religious, attend services at a church near campus and join the activities for college students.
Take a ball-room dancing class at the university. My college roommate met several interesting men at her one-credit ball room dance class. I still remember the dancing geologist as they went out a few times.
Mmmm, I don’t know. Engineering has a lot pull amongst the college ladies. I mean, I’m in engineering and I can hardly learn about channel flows when surrounded by young men who can optimize an engine fuel system. What’s a girl to do?
This sounds sort of sexist. There will be girls in your engineering classes. It’s not a secret society. Plus there are gen eds, clubs and the dorms. You will meet girls and you don’t have to illegally drink to do it.
Whoever said that girls will be all over you, get a grip. My husband and I are both engineers, so one my kid thought engineers make good dating partner. She said lately she was turned off by the engineers attitude, she won’t even considered them anymore. This is my film major kid. So don’t assume they will be all over you.
^^ I guess the women around me didn’t get that memo when I was in engineering school.
@NoVADad99 On behalf of those women, I say sorry.
@SarcasticAnswers I hope you are, as your username implies, being sarcastic. If anyone needs to check their privilege, it’s you. Meeting females is a natural urge for some and is NOT sexist.
Also, not everyone is gay/bi. Stop trying to force your own thoughts onto others
Of course they’re being sarcastic. My lord. I feel like I’m just going to have to follow SarcasticAnswers around and comment “This is a joke” after each of their comments.