STOP DAT FACE stuff!!1
On Topic:
You should do your work! You can sleep any time, but your education is more important.
However, if you feel like you're dizzy, or you're going to go blind, maybe you should sleep.
Sounds like your graphic card's dieing or you've got some bad drivers.
Try rebooting.
But the thing is, he can't shut down or reboot until he finishes this. I do agree that it's probably his graphics card though.