Advanced Introduction to Finality - S4-E13
Continuity mistake: In episode 11 of Season 4, it was stated that Leonard got an A in 1968, then opted for pass/fail to have the highest GPA in the college. In the final scene of this episode, however, it shows Greendale college as being established in 1974.
Continuity mistake: You can see the play director telling a pianist with grey hair to "play something modern." About twenty seconds later when Britta throws her tea hat off towards the pianist, however, it's an entirely different piano player now, that has brown/black hair. (00:17:10)
Continuity mistake: During the scenes in the pool area and the locker room, posters can be seen in the background with the Greendale Human Being on them. However, the Human Being mascot isn't invented until the next episode.
Contemporary American Poultry - S1-E21
Continuity mistake: An adhesive sign reading "Respect the Noble Animal" and a "Danger" sign behind Jeff disappear after the next reverse-shot. (00:11:54)
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.
Mixology Certification - S2-E10
Continuity mistake: Near the end, when Jeff says to Troy "you're a man now" the camera goes onto Troy and we can see Abed asleep on Britta's shoulder (Britta is also asleep), even though in the shot before that, they were both awake. Then after the shot of Troy we see Britta and Abed awake again.
Advanced Documentary Filmmaking - S4-E6
Continuity mistake: Abed is making a documentary, and we see the fact that there are two cameras throughout the episode, so they are definitely acknowledged. However, in the scene at the trout fisherman's house, there is someone filming behind Annie and Troy and towards Annie and Troy. The problem being that whenever it shows Annie and Troy in front, there is no cameraman behind them, but when it cuts to behind them again there is somebody there filming.
Grifting 101 - S6-E9
Continuity mistake: The stacks of money the dean takes out, before getting up, changes in the next shot. One stack is completely on the black edge, then is only partly against it and closer to the other stacks. And the stack on the other end is bigger.
Advanced Safety Features - S6-E7
Continuity mistake: When Rick and Britta are talking to Todd, they're holding hands. In one shot, Rick has his hands clasped together and in the next shot, back to holding Britta's hands.
Course Listing Unavailable - S3-E18
Continuity mistake: The stars Britta puts on change during various shots. She wouldn't have had time to readjust them when off camera either, and at the end when she tried to remove them, they're stuck on pretty good.
Origins of Vampire Mythology - S3-E15
Continuity mistake: The way Britta holds the banana from the DVD cabinet changes between shots.
Geography of Global Conflict - S3-E2
Continuity mistake: When Annie starts to throw her tantrum, she knocks stuff off the table, including the microphone and small mic stand. When she's lying on the table, the mic stand is back on the table. It back on the floor when she and Jeff leave, although the Uruguay sign is now back on the table.
Geography of Global Conflict - S3-E2
Continuity mistake: When Britta is in a cage, before Chang walks in, a couple pass her and are walking out the double doors, where both doors are open. After Chang steps up to the cage and the camera shot changes, the couple is further away from the doors and walking out again, only this time one of the doors is closed.
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.
Continuity mistake: When the 7 go outside, Troy is talking to Shirley, he takes his toothpick out to say he's not an ambassador, but in the next shot the toothpick is back in his mouth.
Contemporary American Poultry - S1-E21
Continuity mistake: When Jeff and Abed are talking in his room, the amount of the root beer float in Abed's glass changes. Especially noticeable is when Jeff leaves, the float goes from near the top and above his fingers to a couple fingers below.
The Science of Illusion - S1-E20
Continuity mistake: When Shirley and Annie chase Jeff, they're wearing their seat belts. In one shot you see Annie doesn't have her seat belt on, but in the next shot it's back on.
Continuity mistake: After the pottery class scene, in the Spanish classroom, when Britta and Jeff are talking, his right arm is across the desk. When Jeff replies "so did someone's psych teacher" and camera cuts, his arm is suddenly folded up by his chest. In the next shot, his left hand is suddenly over his right hand.
Continuity mistake: The "windmill" Pierce draws changes in between shots when the Changs arrive.
Continuity mistake: When Jeff goes into Ian's office and sits down, he puts his book down so the spine is facing the viewer's right and puts his drink on top of it. Later, without touching the book, it is rotated 90°.
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