NORMAN, Okla. (AP) -- Josh Heupel and the Oklahoma offense saw to it that Baylor didn't have to worry about another last-second loss.

Heupel set school single-game records for completions, attempts, passing yards and total offense Saturday as the Sooners beat Baylor 41-10 in the Big 12 opener for both teams.

Baylor (0-3) was the victim of bad luck in its opener and bad judgment last week, but this game was never in doubt. The Sooners (2-0) scored on their first drive, led 21-0 early in the second quarter and were not threatened.

Oklahoma limited the Bears to 208 total yards, 93 of that coming on Baylor's only touchdown drive in the fourth quarter.

"It's a good situation when you can go into your locker room after winning 41-10 and in the Big 12 Conference and none of the players are overly excited, the coaches are mad. We realize we can play so much better," coach Bob Stoops said.

"I felt we would play well, but I'm actually angry because we can play a lot better and we need to."

Heupel was 37-of-54 for 420 yards and three touchdowns. He had set school marks for completions (31) and touchdowns (5) and had tied the record for yards (341) in last week's 49-0 victory over Division I-AA Indiana State.

His 397 yards of total offense broke the Oklahoma record of 351 set by Cale Gundy against Iowa State in 1992. Baylor was able to apply pressure to Heupel at times, sacking him twice and knocking him to the turf on several other occasions. But his quick-hitting passes -- spread among a dozen receivers -- got the best of the Bears.

"What Baylor's been through, I think it was important for us to jump out quickly not only for our confidence but to put pressure on them," Heupel said.

Baylor had lost its opener to Boston College on a missed extra point in overtime, and last week saw UNLV return a fumble 99 yards for a touchdown on the game's final play, when all the Bears had to do was take a knee to preserve a victory.

Oklahoma's first play was a shovel pass to Michael Thornton that went for 28 yards and helped set up Seth Littrell's 6-yard touchdown run. Two drives later, Oklahoma went 80 yards in seven plays -- all of them passes -- with Heupel finding Josh Norman for a 7-yard touchdown.

Heupel added a 22-yard TD pass to Matt Anderson on the second play of the second quarter to make the score 21-0.

"That was a pretty rough one to swallow," coach Kevin Steele said. "We were whipped in every phase of the game. They executed their new offense very well."

Heupel, who also threw a 7-yard touchdown pass to Chris Hammons in the fourth quarter, was intercepted twice. But each time, Oklahoma intercepted Baylor on the very next play. And after a muffed punt gave Baylor first down at the Oklahoma 31 in the third quarter, the Bears netted minus-4 yards and had to punt.

In all, Baylor managed just 51 yards on the ground, its lowest total since getting 70 against Oklahoma State on Nov. 21 of last year.

Oklahoma, penalized just once in the opener, was called for 11 penalties Saturday. Two negated touchdown passes in one third-quarter drive -- an offensive pass interference flag wiped out an 18-yard pass from Heupel to Curtis Fagan, and a delay of game penalty killed a TD pass from Patrick Fletcher to Chris Hammons on a fake field goal.