Who was the first NCAA basketball team to be undefeated including the championship?

There have been four other undefeated NCAA Champions: *The 1964 UCLA Bruins (30-0) *The 1972 UCLA Bruins (30-0) *The 1973 UCLA Bruins (30-0) *The 1976 Indiana Hoosiers (32-0) *Given that it has been 30 years since an NCAA team finished the season as undefeated National Champs, it appears to be very unlikely that the UCLA Bruin's remarkable 60-0 record over consecutive National Championship seasons in 1972 & 1973 will be equalled or bettered in the forseeable future. *The 1976 Indiana Hoosiers were the last to have a chance and no team since then has finished the season with fewer than 2 losses. Those 2-loss teams are: *The 1978 Kentucky Wildcats (30-2) There is one more team to finish a season with only two losses. *The 2004-2005 Illinois Fighting Illini (37-2) *The 1982 North Carolina Tarheels (32-2) *The 1995 UCLA Bruins (31-2) *The 1996 Kentucky Wildcats (34-2) *The 1999 Connecticut Huskies (34-2)