Beaten by St Johnstone in a shock upset last weekend, and held to a goalless draw by Benfica upon their return to the Champions League in midweek, Celtic moved to within a point of leaders Motherwell thanks to goals from Gary Hooper and Victor Wanyama.
Hooper put Celtic ahead shortly before half-time and four minutes into the second half Wanyama's long range shot doubled Celtic's lead to the delight of the Parkhead faithful.
Only a superb display by Dundee's former Celtic keeper Robert Douglas kept the hosts to two goals.
With Motherwell not playing Aberdeen until Sunday, Hibernian missed the chance to go top after surrendering a two-goal lead in a 2-2 draw with Inverness Caledonian Thistle.
Goals from Eoin Doyle and David Wotherspoon put Hibs on top before Conor Pepper pulled one back for Caley ahead of Richie Foran's late equaliser.
Meanwhile, promoted Ross County's 40-match unbeaten run was brought to an end by St Johnstone, who won 2-1 at Victoria Park despite being reduced to 10 men.
Liam Craig gave Saints the lead before the Perth side saw Rowan Vine sent off for an off the ball incident with Richard Brittain.
County levelled thanks to Sam Morrow's 68th minute goal before, five minutes from time, Frazer Wright headed in St Johnstone's winner following a corner.
Teenager Callum Paterson scored his first senior goals as Hearts beat Dundee United 3-0 at Tannadice for their first win since the opening day of the season.
The 17-year-old, who had been converted into a striker by Hearts manager John McGlynn, gave the Jambos a 28th-minute lead with a 20-yard strike and sealed victory when he he seized on a loose back pass by Sean Dillon.
In between those goals, Arvydas Novikovas made it 2-0 with a swerving shot as Hearts bounced back from successive defeats by Dundee and St Mirren.
Kilmarnock defeated St Mirren 3-1 at Rugby Park.
Cillian Sheridan scored his first goal for Killie to make it 1-0 when he glanced home Danny Racchi's centre and James Fowler doubled the hosts' lead 12 minutes into the second half.
James Dayton's solo effort on the hour made it 3-0 and a deflected consolation goal from Paul McGowan came too late to spark a St Mirren revival.
Source: AFP
Source: AFP