"It's good to get back in the win column," Mathews said. "But that third period, obviously the end was a win but letting them come back, there was a lot of things we'd like to clean up and make sure we kept playing like we did in the first two periods."
Morgan Rielly had four assists, and Jack Campbell made 28 saves for the Maple Leafs (18-7-2), who lost the first two of three games in four days.
"We're happy with the result, but the process needs some work, especially late, the entirety of the third with the exception of a couple of minutes," Rielly said. "But to come back after a back-to-back trip and have a home win, that's great, but we need to support our goalie a little bit more at the end."
Oliver Bjorkstrand scored twice for the Blue Jackets (13-11-0), who have lost five of six. Elvis Merzlikins allowed five goals on 30 shots in two periods. Daniil Tarasov made 10 saves in the third period.
"No quit on our part," Columbus coach Brad Larsen said. "We shot ourselves in the foot on four of the five goals really. It's tough when you play a team like that, you know they are dangerous, and when you gift them some it's tough. You get behind 3-0 and then you really have to chase it, but we went right to the final buzzer there, which was good to see."