The 'definitive' "How Many Games & Which Game Will We Win The League At?" - UPDATED
Yes, I'm sticking my neck on the line here, but here goes.
First, this is based on no games being re-arranged (Arse v City could be if we draw against Wigan).
Second, this is based on United being our closest rivals.
Third, this is based on us winning the derby (This bit is important).
Looking at United's fixtures between now and the derby, giving them the benefit of the doubt; Newcastle(W), Palace(W), West Ham(W), Swansea(W) and then give them 4 points from their home games with Liverpool & Chelsea, This is 72 points by the time they play us (A game which I'm assuming they lose and we win). After the derby there will be 5 games left, 15 points available, giving a possible (but highly unlikely) 87 points for United.
So, City need 88 points by end of play at the derby (IMHO), as the PL will not officially acknowledge us as winners on goal difference, as they will claim United could win all remaining games, we could lose them all and the goal difference could be removed ;)
Looking at our fixtures and possible results (pessimistically), we have Leicester(H) 3, Arse(A) 1, Chelsea(H) 3, Stoke(A) 3, Brighton(H) 3, Everton(A) 1, giving us 83 points, plus 3 from the derby = 86 points. This seems a balanced forecast for the next 7 PL games (Inc. the derby).
So, before the end of the derby we need a 2 point swing based on the above forecasts; Either United drop 2, we get 2 more, or United drop 1 and we get 1 more than the above forecasts.
Winning the title mathematically before the derby is possible, but we'd need a 5 point swing based on the above forecasts.
Winning the derby as a result of beating United (as this is their loss and our win) is DEFINITELY POSSIBLE :D
Disclaimer : I think I have my math correct ;)