Tyler Melville added 15 points for the Big Green (6-13, 2-3), as the trio made 20 of 31 field goals. Mitola was 4 of 5 and Melville 3 of 4 from 3-point range.
Dartmouth finished 7 of 15 from 3-point range to 3 of 20 for the Lions (9-10, 1-4).
A 14-2 Columbia run erased an 11-point Dartmouth second-half lead. John Daniels' dunk with 2:41 remaining put the Lions ahead for the last time, 54-52.
Mitola responded with a free throw, a layup and a 3-pointer for Dartmouth.
NCAA title game hero Kris Jenkins said he will withdraw his name from the NBA draft and return to Villanova for his senior season.
Andy Katz breaks down the likelihood of Villanova, Syracuse, North Carolina or Oklahoma making a run to the Final Four next season.
Florida State has announced that Xavier Rathan-Mayes will return to the court for his junior season. The 6-foot-4 guard declared for the NBA draft last month but did not hire an agent.