Keely was 8-of-12 shooting, while Cooper had 16 points, 10 assists and five steals. Nick Kellogg added nine points and Ivo Baltic had eight points and nine rebounds for the Bobcats (20-6, 11-2), who have won 12 of their past 13.
The win was Ohio's 19th consecutive in home MAC games. The Bobcats had 23 assists, upping their team average, which was tops in the country at 18.7.
Ohio hit its first seven shots and led 17-3.
The Eagles (12-14, 5-7) were coming off their first road win of the season, 56-50 over Ball State. J.R. Sims paced Eastern Michigan with 12 points as the team shot 27.6 percent (16 of 58), including 29.4 percent (5 of 17) from 3-point range.
ESPN's Dan Dakich joins The Paul Finebaum Show to discuss the SEC's presence in the NBA Draft.
Ted Kapita was the top-rated recruit from West Virginia in the class of 2015 and recently played at DME Academy in Florida.
With the Suns drafting Tyler Ulis, they now have five guards on their roster who attended Kentucky.