The Tar Heels beat Connecticut for the second consecutive year . The win was also the Tar Heels ' tenth win over a number one ranked team ( according to the AP Poll ) . At the time , the Tar Heels tied UCLA for most wins over a number one ranked team . ( The Tar Heels now own this record outright , with 13 wins over number one ranked teams to UCLA 's 12 . ) The Tar Heels finished with their first winning record in two seasons , 17-10 , but only finished fifth in ACC play with a conference record of 8-8 . They were eliminated in the quarterfinals of the 2004 ACC Men 's Basketball Tournament by Georgia Tech . However , their overall record by the time of their loss in the ACC Tournament allowed them to play in the 2004 NCAA Men 's Division I Basketball Tournament . The Tar Heels ' NCAA tournament run ended with a defeat against Texas in the tournament 's Second Round
2004 ACC Men 's Basketball Tournament
2004 ACC Men's Basketball Tournament
2003–04 North Carolina Tar Heels men's basketball team