Hines and Harden each pulled down five rebounds, as the Mastodons were narrowly out-rebounded 37-to-34 in the game.
Pierre Bland and Harden each gave out three assists, while Harden and Isaiah McCray each picked up two assists.
The Dons jumped ahead early on a Jacobo three-point basket 51 seconds into the game, and were tied at 5-5 and 7-7, the latter after a tip-in by point guard Pierre Bland before the Irish ran off six straight points on back-to-back three-pointers to take a lead they would not give up for the remainder of the game.
IPFW fought back to within two at 13-11 on a Hines lay-in, but went on a scoring drought for the next five minutes before Hines converted a tip-in to snap an 8-0 Irish run.
The Mastodons got to within as few as seven, and had a 5-0 run late in the first half to cut the gap to nine before Pat Connaughton converted an acrobatic three-point-play to give Notre Dame a 12-point, 40-28 lead heading into the locker room at halftime.
Notre Dame's lead grew to as many as 19 with 13:35 to play in the game, before the Mastodons clawed back, closing to within as few as 11, as the game ended with a 12-point, 74-62 margin.
The Mastodons hit 23-of-65 shots (35.4 percent) from the field, 8-of-22 (36.4 percent) from beyond the arc, and 8-of-10 from the charity stripe.
Notre Dame was led by Connaughton's 18 points, while Jack Cooley scored 14 and Scott Martin 13. The Irish converted on 51.8 percent (29-of-56) shots from the field, and had 20 assists against just 13 turnovers.
The Mastodons will host Kennesaw State in a 7 p.m. on Friday at the Memorial Coliseum.