The University of Texas released the non-conference schedule for the men’s basketball team yesterday, and the Longhorns once again have a top-flight list of opponents before Big 12 play. Use the drop-down menu at the top of the page to check out the full season schedule, or simply click this handy-dandy hyperlink.

Texas opens the season with the Coaches vs. Cancer tournament, which culminates in a pair of games at Madison Square Garden against two of the tournament’s other three regional hosts — Illinois, Maryland, and Pittsburgh. The Terrapins and Panthers were both NCAA tournament teams in 2010, and both advanced out of the first round. While the Illini did not make it into the Big Dance, hopes are high for their 2010-11 campaign, and ESPN’s Andy Katz even ranked them 15th in his first preseason poll.

The Longhorns also face a trio of perennial powers in this season’s non-conference slate. Texas first travels to Greensboro, North Carolina to tangle with the Tar Heels on December 18th. As we reported on Twitter last week, the two schools were in talks to move this year’s game to the Bahamas. With this year’s contest staying Stateside, it fulfills North Carolina’s “semi-home” game in the current contract and now leaves the two schools free to revisit the Nassau option in future seasons.

While the Tar Heels were sent reeling following their loss to the Longhorns last December, they seemed to put the pieces together in the post-season and surged to the NIT finals, where they lost to Dayton. With another year under the belts of the young and talented Carolina team — plus the addition of freshman stud Harrison Barnes — the Tar Heels are set for a solid 2010-11 campaign.

Just four days later, Texas heads to East Lansing for an on-campus match-up with Michigan State. The Spartans are coming off their second-straight Final Four, and return all of their key players outside of Raymar Morgan. Although the Longhorns escaped with a victory against MSU in Austin last December, they have historically had trouble with Tom Izzo‘s teams. A true road game against a preseason-Top 5 squad will certainly be a challenge for the Horns.

In early January, Texas hosts Connecticut at the Frank Erwin Center. Like the Tar Heels, the Huskies had an abnormally mediocre season last year. Unlike North Carolina, however, Connecticut managed to knock off the Horns in the midst of their struggles. The Huskies are bringing in a pair of 4-star guards and return Kemba Walker, so expect coach Jim Calhoun to have his team ready for another exciting match-up.

The Longhorns will also face two more major conference opponents in Southern Cal and Arkansas. Texas knocked off both of those teams in 2009-10, and are looking for another clean sweep this year. The Trojans are still embroiled in NCAA drama, as their school’s lawyers are fighting sanctions that were handed down earlier this month. Coach Kevin O’Neill certainly has his hands full rebuilding the program, but his squad matured nicely at the end of last season.

The Razorbacks, meanwhile, will be without star guard Courtney Fortson, who declared for the NBA draft and signed with an agent in April. Arkansas fans are lamenting the decision, as Fortson went unselected in Thursday night’s draft. They can take solace in the fact that sharpshooter Rotnei Clarke will still be on the court for Coach John Pelphrey, though.

In addition to the major names, the Longhorns filled the remainder of their non-conference slate with a slew of mid-major opponents. Navy and Louisiana Tech are Texas’ opening round opponents in the Coaches vs. Cancer Classic, while in-state foes Lamar, Rice, and Sam Houston State are all making trips to the Frank Erwin Center. North Florida and Coppin State round out the non-conference sked for the Horns with match-ups in December.