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.
What did we learn from the Big 12 conference sessions this week? Jake Trotter sorts it out in this edition of the mailbag.
UCLA's Josh Rosen will look to redeem himself against USC in 2016, making the matchup one of the upcoming season's most compelling games.
Haden's aim of reclaiming lost glory ended thanks to coaching flameouts. But his final grade remains incomplete until we see more from Clay Helton.
ESPN's Travis Haney joins The Paul Finebaum Show to analyze where the SEC coaches stand after Signing Day.
Butch Davis thinks Alabama was very smart to schedule USC for their first game next season.
Kevin Sumlin's "Swagcopter" became a symbol of Texas A&M's influence on the recruiting trail. But there are signs that the Aggies are losing momentum.