Georgia coach Mark Fox said he wanted his team to spread the scoring around after last season's leading scorer, Southeastern Conference Player of the Year Kentavious Caldwell-Pope, left for the NBA.
The Bulldogs were coming off a 15-17 season, their third losing record in four years under Fox, but they never trailed after Kenny Gaines' jumper made it 14-12 at the 10:03 mark of the first.
After Justin Gordon's basket cut the lead to two at the 6:25 mark, Georgia outscored Wofford 19-2 to take a 39-20 halftime lead.
Gaines scored eight points over that span, including a tip-in that he scored on the right side of the rim after missing a layup in traffic.
Caldwell-Pope, who was drafted No. 8 overall by the Detroit Pistons, accounted for nearly one third of Georgia's scoring. No other returner averaged more than 7.9.
Gaines scored 10 points and six rebounds. Mann had seven points and three assists.
Georgia, which had 24 turnovers in an exhibition win over North Carolina-Pembroke on Monday, cut down their miscues to nine against Wofford.
Wofford junior guard Karl Cochran, who started 30 games and led the team in scoring last season, had nine points in a reserve role. He didn't score until midway through the second half, cutting the lead to 50-27.
The Terriers, of the Southern Conference, went 13-19 last season.
Georgia's next game is Friday at home against Georgia Tech. Wofford hosts Emory and Henry on Monday.