Tim Howard: 5
The American had very little to do throughout the match, but when called upon managed to save well. He also can't be blamed for the lack of penetration up front.
Seamus Coleman: 7
Coleman looked good going forward, and was on hand to help stop Swansea's counterattacks. Everton are a far better side with the right-back in the team, with it meaning that the team is much more balanced. Most of Saturday's attacks originated from the Irishman's wing and his build up play with Aiden McGeady was especially promising.
Leighton Baines: 5
The England international's set pieces were off, with a couple of free kicks and many corners going wasted. Had he been in better form then the scoreline would have been much more flattering to the Blues. However, he otherwise played well going forward, and had no lapses defensively.
Antolin Alcaraz: 5
Was only on for half an hour before his injury, but looked comfortable during his time on the pitch except for the controversial non-penalty. Yet another injury for the Paraguayan is terrible news though, and now leaves Roberto Martinez with only Phil Jagielka and Sylvain Distin as experienced options at the back. However, it does mean that we might get to see more of Tyias Browning, which can only be a good thing.
Phil Jagielka: 6
Was solid throughout, and his early season problems seem to be behind him now. Also managed to guide Gareth Barry through the game at centre-back, but had very little to do once the opposition went down to ten men. Had a couple of headers that may have gone in on a different day at the other end as well.
Gareth Barry: 6
Performed admirably as a makeshift centre-back after Alcaraz's injury. On a yellow for most of the game, he was still able to deal with Wilfried Bony and Bafatembi Gomis fairly comfortably despite being out of position.
James McCarthy: 5
With Barry moved to centre-back more emphasis was placed on the Irishman's creative abilities. He was in the mix of most moves forward and looked tidy on the ball, but with no goal created there have to be some questions about whether he could have done more. Defended well enough when Swansea made forays forward.
Ross Barkley: 6
Made some promising attacks, but always seems to get crowded out when he gets anywhere near the box. Again, there being no goals reflects badly on him though. Still looks like the player who's going to do something with the ball every time he gets it, but he needs more time to get back in to form following his injury.
Aiden McGeady: 7
One of the talented Irishman's better days since his move to the Toffees. Several of his crosses will have been met by heads on a different day. His link up play with Seamus Coleman was very promising, and most of Everton's attacks were from their right wing. In time they could rival the ageing Steven Pienaar and Leighton Baines combination on the other side of the pitch.
Steven Naismith: 4
A rare off day for the fan favourite. Lots of running and effort, but little on the side of results. Was off balance when one of the best chances of the game came to him from one of the many corners. Overall he wasn't his usual self and Everton will need him to get back in to form soon if they want to pick up their form again.
Samuel Eto'o: 6
Didn't look as dangerous as he did against Burnley without Romelu Lukaku by his side. The Cameroonian wasn't helped by the poor service to him. A hoofed ball from the back is never going to work as well for him as it does for the far bigger Lukaku. Did create some good chances though, and if Lukaku's leg had been a couple of inches longer could have assisted the winner in the last minute.
Muhamed Besic (Antolin Alcaraz 32'): 8
The Bosnian was in good form when he came on, bringing a combative air to the midfield. His yellow was harsh, with it not being entirely obvious that the tackle was a foul at all. Could have offered more going forward once Swansea had gone down to ten men, but that was true of everyone.
Steven Pienaar (Steven Naismith 68'): 5
Didn't add too much when he came on for the out of sorts Naismith. Had a good moment with Leighton Baines which nearly led to a goal, but except from that he didn't bring the penetration that he will have been sent on to create.
Romelu Lukaku (Aiden McGeady 68'): 6
The big man made things happen when he came on, although that could also have been a result of Swansea tiring after playing with ten men for a while. Eto'o looks far better when the Belgian keeps him company up front, with Lukaku drawing defenders who would otherwise have been crowding the veteran out. Could have grabbed the winner if only his feet were a couple of sizes bigger!
Everton Man of the Match: Muhamed Besic
Looked very comfortable when he came on for the injured Alcaraz. This could be the game where the Bosnian really showed how good a player he is, at only 22 he is only going to get better as well. His tenacity in the tackle and laser-like precision in passing bring both toughness and class to the Everton midfield. Hopefully he'll get a start in the next couple of matches to show us what he can do with a run of games under his belt. Could possibly be the best signing of the summer long term, he looks easily able to cover for the ageing Gareth Barry when he needs to rest. He may even be good enough play either alongside him or ahead of him in the near future.