Continuity mistake: At Jenny's birthday she receives two dictionaries, and one is unopened (the one from the boy). After David arrives with the presents, Jenny says that there's no space on the table, and then we can see both dictionaries are without the wrapping paper.
Continuity mistake: When Jenny, David, Danny and Helen are driving up to the house that's for sale that David and Danny want to look at, Carey Mulligan & Dominic Cooper are in different seats in different shots. In the first shot, the camera is in the backseat, and shows Peter Sarsgard driving, and Dominic Cooper in the front passenger seat. When the car pulls up and parks, Carey Mulligan is in the front passenger seat, and Dominic Cooper is behind her in the back seat. (00:44:10)
Continuity mistake: In the very early scene in which Peter Saarsgaard gives the girl a lift because it is raining, he puts her cello into the rear seat (via the offside door) neck first. A few minutes later, when she retrieves the cello from the back near-side door, it comes out base first.