Goodwin finished with five rebounds and five assists, and D.J. Stephens scored 16 for the Tigers (24-3, 13-0 C-USA).
Joe Jackson scored 15 points for Memphis.
Dwayne Davis let the Golden Eagles (21-7, 10-3) with 28 points, and Jerrold Brooks scored 16.
Chipotle plans first price increase in 3 years
Justin Bieber crashes Drake Bell's album release party