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 3-point stance discusses the late-season issues the nation's top receivers are having, the fitting Hornung Award finalists, and Oklahoma State.
Tennessee coach Butch Jones and Vanderbilt coach Derek Mason discuss their preparations for Week 13.
SEC Network's Greg McElroy and Jabari Greer discuss how Georgia will be able to contain Georgia Tech's offense.
South Carolina's loss to The Citadel, coupled with Georgia and Florida struggling in tight victories, was an embarrassment for the conference.
Needing a win to clinch the MAC West title, Northern Illinois falls short as Ohio stuns the Huskies 26-21.
Greg Windham and J.D. Sprague each threw a touchdown pass, Josiah Yazdani kicked four field goals and Ohio kept Northern Illinois from advancing to the Mid-American Conference title game with a 2