In this paper we will look at the pedagogical concept of Bildung and how Bildung has been used as an important ingredient of European university teaching during the last 200 years. We will also shortly look at the modern university teaching where Bildung in some important respects has been abandoned and even abolished. This, however, has had many bad consequences such as higher rates of failure. In particular, these bad consequences have been seen very clearly at the Department og Economics. A reorganization of the teaching of mathematics at this department began in 2007 where some elemnts of Bildung in an new modern context were included in the lectures. This had a remarkable impact. The students became more interested and more studious. How this was practically done will be the main item of this paper and it will be shown thar Bildung is very central if we want to develop university teaching to such a level that the enlightenment of the academic world can continiue. Furthermore it will be shown how the new teaching practice has improved the exam results substantiously.