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.
Auburn defensive back Tim Irvin, the nephew of Pro Football Hall of Famer Michael Irvin, announced via Twitter on Tuesday that he is transferring to another school.
Michigan running back Drake Johnson was run over in April by a forklift at the Wolverines' indoor track building, according to reports.
In an attempt to solve its #Pac12AfterDark problem, the league is seeking to reduce the number of late games on the Pac-12 Networks.
Recruiting reporter Derek Tyson joins ESPN's Phil Murphy to break down the incoming freshmen likeliest to make a splash in 2016.
Washington has named Jennifer Cohen as its new athletic director after she served as the interim athletic director following Scott Woodward's departure for Texas A&M.
Duke coach David Cutcliffe set the bar high when he sprung some exciting news on walk-on defensive end Danny Doyle.