The Golden Eagles (7-1, 3-1 Conference USA), who won their sixth straight game and are knocking on the door of a Top 25 ranking, broke open a 10-10 game in the second half when Davis threw scoring passes of 47 yards to Quentin Pierce and 15 yards to Dominique Sullivan, and Woodyard scored on a 68-yard run.
Davis also had a 1-yard TD pass to Ryan Balentine in the first quarter and finished with 190 yards passing.
UTEP (4-4, 1-3), which was held to 262 yards of offense, got its only touchdown in the first quarter on a 1-yard run by Leilyon Myers. Dakota Warren added a pair of field goals for the Miners.
The Mountaineers have enough experience and quality depth throughout their offense to be Big 12 contenders.
The Badgers are looking for big things from outside linebacker T.J. Watt in 2016 after a strong spring performance.
Brian Kelly talks about the quarterback competition between DeShone Kizer and Malik Zaire.
The on-again, off-again, on-again satellite camp saga was brought to the fore by Jim Harbaugh, drew the SEC's ire and sparked strife in the Pac-12.
Notre Dame coach Brian Kelly talks about why teams should draft Jaylon Smith and says he can positively change the character of a team.
Why do you think the NCAA reversed its decision and will now allow summer satellite football camps? #SatelliteCamps