So I've been interning for a small company the last year and a half while I finish up school. The pay is well below par, but it's flexible, easy, and close to school so it works.
I graduate in May of this year, and have accepted a job starting in early July. My supervisor is aware of this, and knows of my schedule (I have a small phase-out period). In any case, I said I would be happy to stay on in full capacity until then, and train my putative replacement. We have several long-term projects I've been trying to wrap up and move the system into a state where it would be easy to take control. My supervisor keeps kicking me new projects, that while I can handle, have no hopes of being complete before I leave.
Personally, I dislike the idea of leaving unfinished crap in someone else's lap on both a moral and professional level. My supervisor is certainly aware these won't be completed (I said as much), yet I keep getting these assignments.
I did say both in person and in my letter of resignation that I would be happy to work on anything he felt important, but I think some of these cross the line from ambitious to foolhardy. What should I do?