Coleman scored 13 of Nevada's final 19 points and had 17 in the second half. His final 3 put the Wolfpack up 68-64, and he shot 3 for 4 from the free-throw line to seal the win.
Coleman has now scored 65.3 percent (185 of 283) of his points in the second half this season.
The Wolfpack raced to an early 9-2 lead before the Cowboys used a 12-5 run to tie it at 14 with 11:27 to play before the break.
Wyoming led 37-34 at the half, but Nevada (9-5, 1-1 Mountain West) started the half with a 10-0 run and never trailed.
Cameron Oliver finished with 15 points and eight rebounds for the Wolfpack.
Josh Adams led Wyoming (7-8, 0-2) with 26 points.
Wyoming leads the all-time series 13-3.