The Bobcats (7-5, 2-1 Metro Atlantic Athletic Conference) looked to pull away early with an Azotam dunk pushing the lead to 27-13 midway through the first half.
Monmouth (7-8, 1-3) climbed back with a 21-8 run to tie the score at 38, but Quinnipiac closed the half with seven straight points fueled by a layup and four free throws from Azotam. A pair of Shannon 3-pointers with an Azotam layup in between ignited a 17-4 surge, putting the Bobcats ahead comfortably, 72-49 with 13:22 remaining.
Colorado State graduate transfer John Gillon has chosen Syracuse, giving the Orange a potential starter at point guard entering the 2016-17 season.
DeSean Murray, who averaged 20.2 points as a sophomore at Presbyterian, will transfer to Auburn to play for coach Bruce Pearl.
Former Kentucky guard Ed Davender, the only Wildcat with at least 1,500 points and 400 assists, has died. He was 49.