Hey, i'm also applying to the Architecture school this year.
I've been in a couple of the outreach programs at cooper and from what i've gathered and learned, the architecture school tends to be more traditional based. I've looked at their curriculum and though they do offer CAD classes, most of the work there done is by hand without much use of the computer.
Cooper Union does not require you to send in a portfolio unless you are a transfer applicant. I've talked to admission reps and have been told that the hometest (coopers do at home test to gauge creativity and potential ) is the most important part of the application. You can't prepare for the test, but they recommend taking some art classes and sketching for at least 20 minutes a day.
Well, if you have any more questions feel free to ask