The Realm's economic structure pretty much requires calculus equations. One of the major sources of power in the setting is extremely elaborate architecture, placed after extensive land surveys, so as far as math goes, it's a safe bet to assume they have calculus, trig, and our good old friend the number zero.
Abstract art is going to be highly developed because the primary audience for it (the ruling class of the Realm) is both immensely sophisticated and very long-lived. Depictive art is much less common and less favored in the Realm, but a) the Realm doesn't have a cultural stranglehold on all of Creation, b) rulers love seeing themselves depicted in paint and stone, and c) there's still a fair amount of art that survived the end of the First Age, and it did not have the Realm's cultural biases. So the visual arts are going to be all over the place in terms of levels of development.
General medicine is pretty effective thanks to the ubiquity of efficacious prayers, slightly magical tubers, and surviving knowledge of things like basic sanitation practices and anatomical texts. Major physical trauma can be a big problem, though, because beyond having basic anesthesia, their surgery ain't great.