Full-time: Chelsea 1-1 Southampton
Full-time: Manchester United 3-0 Tottenham
Full-time: Everton 3-0 Newcastle
Everton's emphatic win opens up a six-point gap between them and the relegation zone with nine games remaining.
Newcastle, who have now suffered three defeats in their last four league games, remain drifting in mid-table as their season predictably fades into the usual mediocrity.
That's it from us, good night.
Manchester United eased off somewhat after the break, but that was still as impressive as anything we have seen from them over the past two seasons and certainly the best first-half of Van Gaal's reign.
The victory keeps the Red Devils in fourth, but they are now just one point behind Arsenal and just two adrift of second-place Manchester City. If they can keep up that kind of form, a runners-up spot behind Chelsea is a very realistic target indeed.
Tottenham, meanwhile, remain in seventh after being overtaken by Southampton earlier today and are now six points behind United in their quest for Champions League qualification.
So, two extremely one-sides victories to round off the weekend as Everton punish 10-man Newcastle and Manchester United brush aside Tottenham with consummate ease.
Manchester United 3-0 Tottenham
Everton 3-0 Newcastle
Everton round off a thoroughly pleasing afternoon's work with a third goal in injury time. Barkley neatly finishes off a break led by Chelsea loanee Christian Atsu.
Goal: Everton 3-0 Newcastle (Ross Barkley)
That 89th-minute effort from Kane was Tottenham's first shot on target. I think that particular stat just about sums up how wretched this afternoon has been for Pochettino's side.
A late chance for Kane but the prospective England forward is denied by the legs of De Gea.
Another Manchester United goalscorer makes way as Carrick is replaced by Rafael. This will be the fiery right-back's first top-flight appearance of 2015.
There have been one or two rumours regarding Pereira's future that have circulated in recent months, so Manchester United fans will be presumably hoping that an increased exposure to first-team football may help convince him to stay put.
Mata, meanwhile, showed Van Gaal exactly what he has been persistently overlooking of late with a brilliant display.
Falcao now joins the party in place of Fellaini.
It's just not happening for Tottenham and even one goal looks beyond them as we head into the final 15 minutes. Emmanuel Adebayor replaces Chadli.
Manchester United hand a Premier League debut to Belgian-born Brazilian midfielder Andreas Pereira, who replaces the excellent Juan Mata.
Newcastle's hopes of mounting a comeback are dealt a potentially fatal blow as captain Coloccini is shown a straight red card for a bad challenge on Lennon.
Tottenham are labouring in search of a consolation goal without much success. Erik Lamela is on for Ryan Mason.
Red card: Fabricio Coloccini (Newcastle)
Everton double their advantage from the penalty spot through Lukaku after Lennon is fouled by Gouffran. The Belgian keeps up his impressive scoring record against Newcastle.
Goal: Everton 2-0 Newcastle (Romelu Lukaku)
Both games are back underway.
Total domination at Old Trafford where Manchester United lead Tottenham courtesy of goals from Fellaini, Carrick and Rooney. The visitors have been awful but Van Gaal will be delighted with his team's new-found ruthlessness.
Everton have McCarthy to thank for their half-time lead. If they can hold on, the Toffees will move six points clear of the bottom three.
Manchester United 3-0 Tottenham
Everton 1-0 Newcastle
Pochettino does not project the image of a particularly angry man, but he will surely not resist the temptation to lay into his team after this abject first-half showing.
Manchester United are totally dominating proceedings, with Walker in particular struggling with the pace and trickery of Young.
Worth noting Rooney's celebration there too, simulating a boxing knockout after a video emerged today that appeared to show the striker being sent spiralling to the floor in a friendly bout with Stoke defender Phil Bardsley.
Things go from bad to worse for Tottenham as Manchester United extend their lead through captain Rooney after he picks up possession in a central area and easily drives past Nabil Bentaleb and Eric Dier to finish in confident fashion.
This is arguably the best the hosts have played since Van Gaal took over last summer.
Goal: Manchester United 3-0 Tottenham (Wayne Rooney)
Pochettino has seen enough and replaces Andros Townsend with Mousa Dembele.
A special moment for McCarthy, who nets his first home goal for Everton since joining from Wigan in September 2013.
At Old Trafford, Ashley Young is wreaking havoc down Manchester United's left-hand side.
Not a sniff for Harry Kane so far.