The Psychology of Letting Go - S2-E3
Continuity mistake: When Professor Duncan comes into the classroom, he circles and underlines "anthropology." When Chang walks in, the circle and underline change drastically. It goes back to the original way in various shots.
The Psychology of Letting Go - S2-E3
Continuity mistake: The amount of the black oil stuff that covers Annie when it spills on her increases in the next shot of her, before she and Britta start fighting.
Answer: The implication is that Jeff will still be teaching at Greendale after Annie and Abed leave. As for who became vice dean? It's never shown, since it's not really important to the series.
TedStixon