There were also electives, which Hermione naturally signed up for every single one of: Transportation (flying brooms and carpets, later to include Portkeys and Apparition), Mathematics (Arithmancy, Ancient Runes, and quite a bit of genuine Muggle mathematics, to Hermione's surprise), Literature (which as far as she could tell had no equivalent at Hogwarts), and Astronomy (which also included some centaur-derived Divination).