Baeza’s historic university was founded in 1538. It became a fount of progressive ideas that generally conflicted with Baeza’s conservative dominant families, often causing scuffles between the highbrows and the well-heeled. Since 1875 the building has housed a secondary school. The main patio, with elegant Renaissance arches, is open to visitors, as is the early-20th-century classroom of the famed poet Antonio Machado, who taught French here from 1912 to 1919.