Joseph also grabbed seven rebounds and C.J. Fair added 16 points on 6-for-6 shooting for the Orange (15-0, 2-0 Big East).
It was the 12th double-digit victory margin this season for Syracuse, which used a 9-0 run midway through the first half to pull away and cruise to the victory.
Dion Waiters contributed 13 points for the Orange.
The Blue Demons (9-4, 0-1) saw their five-game winning streak snapped despite 23 points and eight rebounds from Cleveland Melvin.