Around the same time as universities were popping up all over Europe, the Crusades were bringing Europeans into contact with advanced Muslim ideas of science and technology. Ideas like the compass and the astrolabe came to the West via Muslim Spain and came in handy during the later Age of Exploration. Italian merchants came back from trading in North Africa and gave us another innovation: Arabic numerals.
Pfft, like people are going to want to learn a whole other set of characters.
Medicine also made massive advances thanks to the university system. Contrary to popular belief, dissection of corpses was actually fine and dandy with the church, and medieval universities often did it in the basement (OK, so maybe it wasn't totally fine and dandy). By the 14th century, there were functional hospitals, and doctors had learned how to use antiseptic when lopping off people's body parts.
And that's a good thing, because everybody was encrusted in filth back then, right? Well, about that ...