Mike Rostampour scored 13 points and grabbed 14 rebounds, and the Mavericks outrebounded the Bears 51-25.
Randy Reed scored 10 points for Omaha. Devin Patterson and Carter, who averaged 13.5 points per game last season, each had seven assists.
Tre'Shawn Thurman's tip-in capped Omaha's 11-0 opening run and the Mavericks never trailed, pulling to a 47-31 halftime lead. Omaha opened the second half with a 7-2 run and continued to roll.
Central Arkansas shot 43.9 percent from the field (25-57) to Omaha's 44.7 percent (34-76), and 42.9 percent from beyond the arc (9-21) to Omaha's 50 percent (11-22).