[WizenedEE]

My suggestion is to never do homework when you're extremely tired. In my experience, you don't actually get it done and you're still losing on sleep. Just set your alarm early and drift off -- you'll end up getting more sleep total, since you'll have the slight panic factor of "oh I have to get this done by 7:30", you'll be more awake to do it, and (bonus) you'll be more awake for classes.