I'm so sorry. Your Dad sounds wonderful, try to treasure every moment you have left with him. Can you take a year off from your studies? I would suggest you go see your doctor for sleep aid, you'll be able to cope better if you get enough rest. Also have a look and see if there is a support group for carers of terminally ill in your area. Sharing with others can help.

I used to work with terminally ill patients and I know that with the right medications for your Dad, he can be virtually pain free. Knowing that your Dad is comfortable and not in pain will help the situation further.