Of  Center for Advanced Studies in Engineering and University of Idaho which, if either, is a public university?
University of Idaho The University of Idaho (officially abbreviated UI, locally referred to as "the U of I") is the U.S. state of Idaho's oldest public university, located in the city of Moscow in Latah County in the northern portion of the state. It is the state's flagship, land-grant and primary research university. The University of Idaho was the state's sole university for 71 years, until 1963, and its College of Law, established in 1909, was first accredited by the American Bar Association in 1925.
List of Brigham Young University–Idaho buildings This list of Brigham Young University–Idaho buildings catalogs the current and no-longer-existent structures of Brigham Young University–Idaho (BYU–Idaho), a private, coeducational university owned by The Church of Jesus Christ of Latter-day Saints (LDS Church) located in Rexburg, Idaho, United States.