"Matriculation, in the broadest sense, means to be registered or added to a list, from the Latin matricula - little list. In Scottish heraldry, for instance, a matriculation is a registration of armorial bearings. The most common meaning, however, refers to the formal process of entering a university, or of becoming eligible to enter by acquiring the meeting prerequisites."
Also, [Matriculation] gets 880 exact matches monthly in the UK at £0.26, 14,800 globally. Broad search is 5,400, so not bad figures... actually pretty good for a single word.