Coleman went 5-of-6 from the field while Carter-Williams supplied 11 points, 11 assists, seven rebounds and three steals as the Orange (6-0) stretched their non-conference home winning streak to 26 games.
Brandon Triche (12 points) and Jerami Grant and Trevor Cooney (11 each) also reached double figures in the comfortable victory.
The Eagles (5-2) got a combined 34 points from Derek Thompson and Glenn Bryant but shot only 30 percent from the field en route to the loss.
Disney's 'Jessie' to feature network's first engagement
Members of Congress to keep receiving porn magazine