2.4-2 Students develop a script from their lecture notes and want to publish this on the Internet. May they do so without further ado?

No, in this case, they should be careful. Although scientific results are not protected, refining the material, i.e. the manner in which the lecturer transmits knowledge in a lecture, can definitely fall under copyright protection when the work character is fulfilled in the process. If the lecture notes are then developed into a script in such a way that they adopt the structure and content of the lecture, such a script can therefore be seen as a derivative work. The lecturer’s consent is required to produce the script and to use it (publication on the Internet).