Coleman caught a 31-yard TD pass on an option from running back Jawan Jamison in the fourth quarter to give the Scarlet Knights (8-1) the lead and set them on their way to a win that put them atop the Big East standings.
Coleman finished with three receptions for 53 yards and two touchdowns. Jamison carried 22 times for 90 yards. Quarterback Gary Nova completed 14-of-17 passes for 123 yards and one touchdown.
Trent Steelman ran the ball 26 times for 102 yards and a touchdown for Army (2-8). Steelman also completed 7-of-17 passes for 55 yards.
Army outgained Rutgers in total yardage 337-252 but lost three fumbles.
Rutgers scored three times in the final period after the two sides had battled to a 7-7 tie.
After Coleman's tie-breaking 31-yard TD reception, the Scarlet Knights added a 2-yard scoring run by Savon Huggins and a 73-yard fumble runback by Duron Harmon with 40 seconds left to play.