Upper Iowa University is a private university in Fayette, Iowa, United States. It enrolls around 3000 students and offers distance education programs that include centers in the U.S., an online program, an independent study program, and formerly had centers in Hong Kong, Singapore and Malaysia. UIU has a total student enrollment of more tâĤUpper Iowa University is a private university in Fayette, Iowa, United States. It enrolls around 3000 students and offers distance education programs that include centers in the U.S., an online program, an independent study program, and formerly had centers in Hong Kong, Singapore and Malaysia. UIU has a total student enrollment of more than 3,000 students.