Fans stormed the court after the Irish’s rousing victory.
It was the eighth time Notre Dame (12-8, 4-3) has beaten a No. 1 team – that ties for fourth-most all-time, with North Carolina having the most with 12.
The Orange (20-1, 7-1) played without starting center Fab Melo, who did not make the trip and will not play Monday against Cincinnati.
Without Melo in the middle, the 6-foot-9, 248-pound Cooley was a major force for Notre Dame (12-8, 4-3) and the Irish won the rebound battle 38-25.
NO. 5 MISSOURI 89, NO. 3 BAYLOR 88
In Waco, Texas, Ricardo Ratliffe scored a career-high 27 points and Missouri held off a furious late rally by Baylor (17-2, 4-2 Big 12).
Ratliffe had a big two-handed slam dunk midway through the second half when he scored six points in an 8-0 spurt that put the Tigers up 68-58. Missouri (18-1, 5-1) still had a 10-point lead with 3:07 left then didn’t score again until Ratliffe’s two free throws with a minute left.
Missouri had to make 10 of 12 free throws in the final minute for the victory.
NO. 6 OHIO STATE 79, NEBRASKA 45
In Lincoln, Neb., William Buford scored 15 points, Jared Sullinger and Deshaun Thomas had 14 apiece, and Ohio State blew out Nebraska for the second time this month.
The Buckeyes (17-3, 5-3 Big Ten) swept their games against Nebraska (10-9, 2-6) by a combined 65 points.
NO. 7 KANSAS 69, TEXAS 66
In Austin, Texas, Jeff Withey made a layup and free throw with 37 seconds left to give Kansas the lead and the Jayhawks (16-3, 6-0 Big 12) survived another tough fight with Texas (12-7, 2-4).
NO. 9 MICHIGAN STATE 83, PURDUE 58
In East Lansing, Mich., freshman Branden Dawson scored a season-high 14 points to help Michigan State (16-4, 5-2 Big Ten) pull away and beat Purdue (14-6, 4-3).
The Spartans moved into a tie atop the conference by stopping their second two-game skid this season.
NO. 10 GEORGETOWN 52, RUTGERS 50
In Washington, Otto Porter scored the final six points, including two free throws with 8.5 seconds left, helping Georgetown (16-3, 6-2 Big East) beat Rutgers (11-9, 3-4).
NO. 19 CREIGHTON 75, INDIANA STATE 47
In Omaha, Neb., Doug McDermott had 12 points as Creighton (18-2, 8-1 Missouri Valley) rolled to a win over Indiana State (11-9, 2-7).
NO. 21 MARQUETTE 79, PROVIDENCE 72
In Providence, R.I., Jae Crowder scored 18 points and reserve Jamil Wilson had a career-best 16 to lead Marquette (16-4, 5-2 Big East) to a win over Providence (12-8, 1-6).
NO. 25 KANSAS STATE 66, OKLAHOMA STATE 58
In Stillwater, Okla., freshman Angel Rodriguez scored 14 points in his second start, Jamar Samuels added 12 points and 12 rebounds and Kansas State (14-4, 3-3 Big 12) snapped an 11-game losing streak at Gallagher-Iba Arena by beating Oklahoma State (9-10, 2-4).