FORT WORTH, Texas -- The Heisman candidacy of quarterback Trevone Boykin surely had to get a boost after Saturday night's performance against TCU's neighboring rival.

Boykin was responsible for six touchdowns and more than 500 yards as the No. 3 Horned Frogs finished strong for a 56-37 win over SMU at Amon G. Carter Stadium.

Boykin completed 21 of 30 passes for 454 yards and five scores and added another touchdown and 50 yards on the ground as TCU (3-0) completed its nonconference schedule unscathed.

"We are really just doing what we do," Boykin said. "We try to score a lot of points. It's all good with me at the end of the day as long as we win."

TCU is 3-0 for the seventh time in the last 10 seasons. The Big 12 favorites open conference play next week at Texas Tech.

"That's what the goal is," TCU coach Gary Patterson said of winning a championship. "Right now, we are 3-0, and now we get to play our first Big 12 game against Texas Tech."

Boykin completed throws to nine teammates, including five passes to receiver Josh Doctson for 171 yards and two touchdowns. Running back Aaron Green rushed for a season-high 164 yards and two scores.

TCU finished with 720 yards of total offense to SMU's 508.

The Horned Frogs also beat the Mustangs (1-2) for the eighth time in the last nine years. But the TCU-SMU rivalry only figures to gain stream with the arrival of first-year Mustangs coach Chad Morris.

SMU quarterback Matt Davis provided a glimpse of big-play potential of Morris' attack. Davis (17-31, 330 yards, one TD) had seven completions of at least 24 yards while also running for two touchdowns.

"Our guys were prepared," Morris said. "I thought we had a great plan offensively, and I knew that we were going to have to make some plays."

The Horned Frogs appeared to break the game open on their first two drives of the third quarter. Boykin quickly and efficiently directed touchdown drives that ended with scoring passes to receiver Kolby Listenbee (31 yards) and tight end Dominic Merka (19 yards), respectively.

The Mustangs responded with a 17-0 burst to end the third quarter, getting the visitors within 42-34. Davis scored twice on the ground, the second after a Boykin interception and kicked Chad Hedlund nailed a 21-yard field goal to end the third.

Hedlund had a 32-yard field goal after the Mustangs made a fourth-down stop on the first possession of the fourth quarter. With about eight minutes left, the deficit was 42-37.

"We were down 42-17, but our guys never gave up," Morris said. "We got a turnover and we battled right back to score. We also had a couple stops and went down and scored. That was good to see."

Boykin and Doctson then came up big, connecting on a 42-yard touchdown, and TCU was up 49-37 with 6:32 left. Green capped the scoring with a 1-yard touchdown in the final minute.

Boykin threw three touchdown passes as TCU took a 28-17 into halftime. The senior accounted for 280 yards and three touchdowns in the half as the team piled up 363 yards.

Davis was solid with 149 yards passing and 43 yards on the ground. His lone touchdown pass came in the final seconds of the first half.

The Mustangs took a 7-0 lead on the game's opening drive as running back

Xavier Jones powered in from 2 yards for the first score.

The Frogs needed less than a minute to tie it as wide receiver KaVontae Turpin took a short toss from Boykin in the middle of the field and outran everyone for a 61-yard touchdown.

Several big throws from Davis set up a 22-yard field goal on SMU's next drive for a 10-7 advantage.

TCU answered to take its first lead. Boykin's 39-yard bomb to receiver Doctson led to Green's short touchdown to make to 14-10.

Doctson and Boykin connected again early in the second quarter, this time on a 29-yard touchdown.

TCU scored its third straight touchdown with two minutes left in the first half on a 20-yard scramble by Boykin, who slipped out of a sack and broke into the open field before taking on two defenders at the goal line.

Despite the 21-0 run, the Mustangs managed to take some momentum into the locker room. Davis hit receiver Ryheem Malone on a 63-yard heave to the TCU 12-yard line and six plays later found receiver Courtland Sutton in the back of the end zone.

NOTES: TCU's 11-game winning streak dating to last season is the second longest in the country behind No. 1 Ohio State (16). ... TCU leads the series with SMU 48-40-7. ... TCU is SMU's most-played series. The Horned Frogs have played Baylor (110) more. ... TCU came in as one of three teams in the top 20 in total offense and defense. ... SMU didn't turn the ball over, ending TCU's nation-best streak of consecutive games with a takeaway at 27.