▁($ 1 3 ▁million ). ▁ ▁Conference ▁affili ations ▁ ▁Rock y ▁Mountain ▁Conference ▁( 1 9 2 2 – 1 9 3 7 ) ▁ ▁Sky line ▁Conference ▁( 1 9 3 8 – 1 9 6 1 ) ▁ ▁Western ▁Athlet ic ▁Conference ▁( 1 9 6 2 – 1 9 9 8 ) ▁ ▁Mountain ▁West ▁Conference ▁( 1 9 9 9 – 2 0 1 0 ) ▁ ▁Independent ▁( 2 0 1 1 – present ) ▁ ▁Championships ▁ ▁National ▁champion ships ▁In ▁ 1 9 8 4 ▁BY U ▁was ▁designated ▁national ▁champions ▁by ▁the ▁AP ▁and ▁U PI , ▁and ▁other ▁major ▁select ors ▁listed ▁below . ▁ ▁Conference ▁champion ships ▁ ▁Division ▁champion ships ▁ ▁BY U ▁has ▁won ▁two ▁division ▁cham ps ion ships , ▁both ▁in ▁the ▁Western ▁Athlet ic ▁Conference . ▁ ▁† ▁Co - ch amp ions ▁ ▁Bowl ▁games ▁BY U ▁ ▁has ▁made ▁ 3 7 ▁bow l ▁appearances ▁with ▁a ▁record ▁of ▁ 1 5 – 2 1 – 1 . ▁They ▁have ▁played ▁in ▁the ▁Hol iday ▁Bowl ▁( 4 – 6 – 1 ), ▁the ▁Cot ton ▁Bowl ▁Classic ▁( 1 – 0 ), ▁the ▁Las ▁Veg as ▁Bowl ▁( 3 – 3 ), ▁the ▁Co pper ▁Bowl ▁( 1 – 0 ), ▁ ▁the ▁T anger ine / C it rus ▁Bowl ▁( 0 – 2 ), ▁the ▁Fre edom ▁Bowl ▁( 1 – 1 ), ▁the ▁Liber ty ▁Bowl ▁( 0 – 2 ),