Question: What team prior to joining the Big Ten, the team was a member of the American Athletic Conference, had a head coach who moved on to become the head football coach at Columbia University?
Context: The 2015 Houston Cougars football team represented the University of Houston in the 2015 NCAA Division I FBS football season.  It was the 68th year of season play for Houston.  The team was led by first-year head coach Tom Herman and played its home games at TDECU Stadium in Houston.  The Houston Cougars football team is a member of the American Athletic Conference in its West Division.  They finished the season 13–1, 7–1 in American Athletic play to win a share of the West Division title.  Due to their head to head win over Navy, they represented the West Division in the inaugural American Athletic Championship Game where they defeated Temple to become American Athletic Conference champions.  As the highest ranked team from the "Group of five", they received an automatic bid to a New Year's Six bowl.  They were invited to the Peach Bowl where they defeated Florida State. Robert James Naso (born September 11, 1937) is an American former college football coach.  From 1961 to 1967 he was defensive line coach at Rutgers, then was defensive coordinator from 1968 to 1979.  In 1976, while Naso worked as defensive coordinator, the Scarlet Knights went 11–0 and his unit placed first nationwide in total, rushing and scoring defense.  After spending two decades with his alma mater, where he also played football and lacrosse, Naso moved on to become the head football coach at Columbia University.  He was fired after five seasons during which time his teams compiled a 4–43–2 record, including a 1984 season that was Columbia's first winless season since 1943. Brenda Sue Frese (born April 30, 1970) is an American women's basketball head coach and former player.  Since 2002, she has served as the head coach of the University of Maryland women's basketball team.  In her fourth year as head coach, she won the 2006 Women's National Championship.  She won the 2009 ACC Regular Season and Tournament Championships - the women's first ACC Championship since 1989.  She won another ACC Championship in 2012 and reached another Final Four in 2014.  Maryland moved to the Big Ten for the 2014-15 season and Frese led the Terrapins to an undefeated 18-0 conference record and a Big Ten Regular Season Championship in their first year in the Big Ten.  She was voted AP National Coach of the Year in 2002, ACC Coach of the Year in 2013, Big Ten Coach of the Year in both 2002 and 2015, and MAC Coach of the Year in 2000.  At Maryland, she's coached four ACC Players of the Year and four ACC Freshmen of the Year. The 2013 Rutgers Scarlet Knights football team represented Rutgers University in the 2013 NCAA Division I FBS football season.  The Scarlet Knights played their home games at High Point Solutions Stadium in Piscataway, NJ as a member of the American Athletic Conference.  This was the second season with Kyle Flood as the head coach, and last season before transitioning to playing in the Big Ten Conference.  They finished the season 6–7, 3–5 in American Athletic play to finish in a tie for sixth place.  They were invited to the Pinstripe Bowl where they were defeated by Notre Dame.  Notre Dame would later vacate the win on November 22, 2016 due to academic violations. The 2015 UCF Knights football team represented the University of Central Florida in the 2015 NCAA Division I FBS football season.  The Knights were members of the East Division of the American Athletic Conference (The American), and played their home games at Bright House Networks Stadium on UCF's main campus in Orlando, Florida.  The Knights were led by head coach George O'Leary, who was in his 12th and final season with the team.  After starting the season 0–6, O'Leary resigned as UCF's interim athletic director, a position he had held since June when Todd Stansbury left for the same position at Oregon State.  Following UCF's 59–10 defeat by Houston on homecoming, dropping the Knights to an 0–8 record, O'Leary resigned as head football coach.  Quarterbacks coach Danny Barrett served as interim head coach for the remainder of the season. The Rutgers Scarlet Knights football team represents Rutgers University in the Football Bowl Subdivision (FBS) of the National Collegiate Athletics Association (NCAA).  Rutgers competes as a member of the East Division of the Big Ten Conference.  Prior to joining the Big Ten, the team was a member of the American Athletic Conference (formerly the Big East Conference) from 1991 to 2013.  Rutgers plays its home games at High Point Solutions Stadium, located at Piscataway, New Jersey campus.  The team is currently led by head coach Chris Ash. Raymond Eliot Nusspickel (June 13, 1905 – February 24, 1980) was an American football and baseball player, coach, and college athletics administrator.  He served as the head football coach Illinois College from 1933 to 1936 and at the University of Illinois at Urbana–Champaign from 1942 to 1959, compiling a career college football record of 102–82–13.  Eliot was also the head baseball coach at Illinois College from 1933 to 1937.  His Illinois Fighting Illini football teams won three Big Ten Conference championships (1946, 1951, and 1953) and two Rose Bowls (1947 and 1952).  Eliot, who spent almost his entire career at the University of Illinois—he was a student athlete, an assistant football coach, head football coach, associate athletic director, and finally the interim athletic director for the university—was nicknamed "Mr. Illini."  He attended the University of Illinois, played as a guard on the football team in 1930 and 1931, and was a member of Alpha Sigma Phi fraternity.  He died of an apparent heart attack on February 24, 1980 in Urbana, Illinois. Al Logan is the current head football coach for the Muskingum Fighting Muskies college football team of the Ohio Athletic Conference.  Logan previously served as head coach of (Sewanee) between 1994 and 1995 where he compiled an overall record of four wins and fourteen losses.  He also served as an assistant coach at John Carroll University from 1983 to 1984, at Sewanee from 1985 to 1993 and again from 1996 to 1998, at Davidson College from 1999 to 2003 and at Wittenberg University from 2004 to 2006 prior to taking a position as offensive coordinator at Muskingum.  During his tenure as head coach with Muskingum, opponents are 70-6 (.921) against Al Logan when scoring 21 or more points.  The Muskies are only 2-50 (.038) under Coach Logan when playing Ohio Athletic Conference teams that finished with winning records in the conference [Ohio Northern 2008 & 2011]. Mark Justin Dantonio (born March 9, 1956) is an American football coach and former player.  He is the current head football coach at Michigan State University, a position he has held since the 2007 season, presiding over one of the most successful eras in the program's history.  He's led the Michigan State Spartans to three Big Ten Conference championships, and seven victories over archrival Michigan in eight years.  In 2013, he coached Michigan State to its first 13-win season and the program's fifth trip to the Rose Bowl, where they defeated Stanford and finished the season ranked No. 3 in the nation.  At the time, this was only the second instance a Big Ten team had reached the 13-win mark, the other being Ohio State's national championship season in 2002, where Dantonio was the defensive coordinator.  The 2013 season also marked the first time a Big Ten team won nine conference games by double digits in each contest.  In 2015, Dantonio became the first head coach in Big Ten history to achieve at least 11 wins in five of six seasons.  On December 6, 2015, it was revealed that Dantonio's Spartans qualified for the College Football Playoff for the first time in the program's history.  The Spartans were the No. 3 seed in the Playoff and faced Alabama in the 2015 Cotton Bowl, but lost 38–0. The Louisville Cardinals baseball team is the varsity intercollegiate baseball program of the University of Louisville, located in Louisville, Kentucky.  The program was a member of the NCAA Division I American Athletic Conference for the 2014 season and joined the Atlantic Coast Conference in July 2014.  The Cardinals have played at Jim Patterson Stadium since the venue opened during the 2005 season.  Dan McDonnell has been the program's head coach since the start of the 2007 season.  As of the end of the 2016 season, the program has appeared in ten NCAA Tournaments and three College World Series.  In conference postseason play, it has won two Big East Conference Baseball Tournaments.  In regular season play, it has won two Metro Conference titles, four Big East Conference titles, one American Athletic Conference title, and one Atlantic Coast Conference title.  Louisville also set the ACC record for most conference wins in a season with 25 on May 16, 2015.
Answer: Rutgers Scarlet Knights