CMU

pronounced Sea-Em-You

in full Carnegie Mellon University

meaning an abbreviation for the institution previously known as Carnegie Institute of Technology and originally known as Carnegie Technical Schools; noted for its right brain (arts and theater) and left brain (engineering and computers) division

as in

date 1967

authority Eskey, Ken. "CMU...The Name Is Changed, A University Is Created." The Pittsburgh Press, 2 July 1967, 12-14.

and since nothing in the human sphere is simple, neither is the abbreviation for CMU. When Carnegie Mellon University was formed in 1967, there was a hyphen linking Carnegie and Mellon, viz. Carnegie-Mellon University. In abbreviated form the school was identified both as C-MU and as CMU. The hyphen was officially dropped in 1986 according to the CMU Archives;
and, according to The Pittsburgh Press for 12 June 1967, between 1 July and 17 July 1967, Carnegie Institute of Technology, before becoming CMU on the 17th, was legally known as Carnegie University.

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Sources:

Carnegie Mellon Website.

Lutz, Patrick A. "Tech-Mellon Institute Merger Would Forge New Landmark." Pittsburgh Post-Gazette, 16 September 1966.

Pierce, Henry W. "C-MU Scientists Mildly Protest Own Arms Role; Panel Event Organized Because Some Researchers Question Military Uses." The Pittsburgh Post-Gazette, 5 March 1969.

Schmidt, Judy. "Last Carnegie Tech Class Graduates; Name Changes Soon; Carnegie-Mellon University Revealed As New Title Effective July 17; Paul Mellon Is Commencement Speaker." Pittsburgh Post-Gazette, 6 June 1967.

Spatter, Sam. "Pitt, CMU Plan Posh Faculty Club." The Pittsburgh Press, 26 October 1969.

"Technically It's Carnegie for a While." The Pittsburgh Press, 12 June 1967.