The Wolverines (6-5) reached the milestone in their 43rd season in the arena, which opened in 1967.
Michigan, which led by as many as 32, won for just the third time in eight games. They got 11 points from Zack Novak and 10 from Laval Lucas-Perry, which helped them overcome a rare low-scoring game from Manny Harris, who finished with just five.
The Eagles (5-5) lost for the fourth time in five tries after starting the season 4-1 with three wins over non-Division I schools. Lenny Young led Coppin State with 22.