U of M may refer to a number of universities, including the University of Michigan, the University of Minnesota and the University of Memphis. Each of these schools has both a men's and women's basketball team that have different annual start dates.
The start of a basketball season may refer to either the start of practice for each team or the beginning of each team's competitive schedule, which varies from school to school.
Many collegiate basketball schedules begin in November. For example, the University of Michigan men's team played its first game of the 2014-15 season on Nov. 10, 2014. Meanwhile, the University of Minnesota men's team began its schedule on Nov. 6, 2014; its women's team began play on Nov. 14, 2014.