Rutgers showed fight just before halftime, and again midway through the second half, but the Jim Larranaga-led Hurricanes never surrendered their lead.
Starting guards Durand Scott and Malcom Grant combined for 38 points for the Hurricanes and center Kenny Kadji contributed another 13.
"They showed veteran leadership and toughness and made it a long night for our young guys," said head coach Mike Rice to WCTC.
Carroll, who made all three long-range shots, helped Rutgers build a 15-2 run, but Miami slowly closed out the game with key free throws down the stretch.
Carroll's 11 points led the team on 4-of-4 shooting, marking a career high for the sophomore.
"We have three words details, discipline and determination," Rice said. "That's why he's playing well. … I have to get him more minutes."
Sophomore Gilvydas Biruta scored eight points and pulled down 11 rebounds in the loss.
Biruta and Rutgers rebounded well against Miami. The Scarlet Knights out-rebounded their opponents 39-31, including 21 on the offensive sides.
Rebounding was not enough, shooting 36 percent to Miami's 47 percent and attempting just six free throws the whole game.
In the first half, Miami jumped out to a 20-6 lead behind eight quick points from Scott and some ill-advised shots by Rutgers.
Rutgers fought back before the half with a mini-run, but never came within fewer than 10 points.
The Scarlet Knights (1-1) return to the friendly confines of the Louis Brown Athletic Center Thursday where they host Sacred Heart and then again Sunday against Hampton for the first two games of the Cancun Challenge.