They do, but at least 15ys ago at university of Karlsruhe (which they laughably renamed to KIT at that time) people could circumvent most of the programming tasks. I looked up the current curriculum a couple of months ago, and they at least seem to have expanded from "3 weeks Java embedded into another course" to a full-blown one semester long programming course.

If you ask me, they should make programming the fabric of almost all exercises/tasks, be it in math, cs or sth else along the lines. This would, however, require professors who are in to that kind of stuff and most preferred singing powerpoint-karaoke.