ANN ARBOR – The University of Michigan has held onto its spot as the No. 3 top public school in the nation for the second year in a row, according to U.S. News & World Report. U-M trailed University of California - Los Angeles and University of California - Berkeley, which ranked first and second, respectively. 6 in Best Undergraduate Engineering Programs. University of Michigan has an undergraduate enrollment of 31,266 and costs $15,948 for in-state students and $52,266 for out-of-state students.