Woodard did most of his damage at the line, going 10 of 12. He was 3 of 14 from the field, including 2 of 12 from beyond the arc. Brandon Swannegan scored 17 points with eight rebounds - seven offensive - for the Golden Hurricane (13-6, 5-2 American). Pat Birt and Rashad Ray added 12 points apiece.
UCF (10-7, 4-2) was led by Justin McBride with 15 points and seven rebounds.
Tulsa opened a lead in the first half using a 13-2 run over 5:52, as UCF missed five shots and had four turnovers in the stretch.
UCF trimmed its deficit to one as Tulsa went the first 3:05 of the second half without scoring. But a 9-2 run by Tulsa reestablished the lead, and a 13-3 run midway through the second sealed UCF's fate.