UNC Women's Basketball Announces Non-Conference Schedule Posted Jul 16, 2018 North Carolina women's basketball has put together one of its most competitive non-conference schedules in recent years with five games against Power 5 Conference opponents among its 14 out of league contests. The Tar Heels' key non-league opponents include Auburn and Kentucky from the SEC, Colorado and UCLA out of the Pac-12 and the Big Ten's Ohio State. (GoHeels.com)