This category does not include alumni of University College Dundee or Queen's College Dundee, which although part of the University of St Andrews went on to become the University of Dundee. For those alumni see Category:Alumni of the University of Dundee.
"Alumni" (see Alumnus) is used here in the (correct) broad sense, to include people who have spent a notable period of their career studying at the institution, not in a narrower, legal sense of having officially "graduated" (for example in the medieval and early modern periods it is often not known where or if people graduated).
In accordance with Wikipedia:Categories criteria, the period spent studying at the institution should be notable enough to be mentioned in the article.
Please do not include recipients of honorary degrees in this category.