Lucas: Nonconference Basketball Schedule Rapid Reactions Posted Jun 13, 2019 One thing is for certain--this is a basketball schedule unlike any in UNC history. Because the season opener is against ACC opponent Notre Dame, the format is naturally going to be different. And as you can always expect from Roy Williams, he doesn't make it easy for himself. As soon as the Tar Heels finish with the Irish, they hit the road to play UNCW. (GoHeels.com)