Brooks had 15 points and 12 rebounds. Dixon had 10 points and 14 rebounds.
Morgan's sharpshooting sparked a 22-6 run in the second half, giving Yale (0-2) a 49-43 lead. Providence (2-0) responded with an 8-0 charge to grab a 51-49 lead with 4 minutes left, but a thunderous, one-handed dunk from Yale's Reggie Willhite tied the score.
Down by one with 30 seconds left, Braswell missed a 3-pointer, which Brooks snagged for his 12th rebound.
Morgan swiped at Brooks to foul out, and Brooks sank two free throws to make the score 58-55. Yale had one final possession, but Greg Mangano's missed 3-pointer as time expired cemented the victory.
ESPN's Dan Dakich joins The Paul Finebaum Show to discuss the SEC's presence in the NBA Draft.
Ted Kapita was the top-rated recruit from West Virginia in the class of 2015 and recently played at DME Academy in Florida.
With the Suns drafting Tyler Ulis, they now have five guards on their roster who attended Kentucky.