Cooper made 7 of 9 shots from the field, including a season-high five 3-pointers, and dished out seven assists for Ohio, which is averaging 25 assists over its last five games.
Keely, who hit 6 of 10 shot attempts, converted a season-high seven free throws. His shot from the stripe with 1:52 left in the first half gave Ohio (10-5, 1-0) a 48-31 advantage and Cooper hit a 3-pointer and two free throws to give the Bobcats a 53-31 lead at the break.
Ohio extended its lead to 64-36 on another trey from Cooper.
The Bobcats shot 50.8 percent (32 of 63) from the field and hit 9 of 18 3-point attempts.
Ben Simmons explains what he is focusing on ahead of the start of his NBA career.
After John Calipari's comments about the Louisville scandal, Rick Pitino says that Calipari should not be worried about other programs and to keep quiet unless he is praising another institution.
College basketball coaches across the country will hit the recruiting trail hard in July to target the Class of 2017's top prospects. Which players are the nation's top programs targeting?