Epperson is UT's all-time leader in points (2016); rebounds (960), career field goals (786) and career field goals attempted (1415) and is third in field goal percentage (.555). Epperson led the Rockets in scoring in 1982-83 (18.1 ppg) and 1983-84 (20.4 ppg), and in rebounding in 1983-84 (9.4 rpg) and 1984-85 (8.0 rpg). Epperson was a unanimous first-team All-MAC selection his junior and senior years.