Based on experience in both the U.S. and Danish university systems (not the German one, but I believe it shares some similarities), the U.S. university education has a bigger focus on interdisciplinarity, where you focus on a major but also are required to take courses in other disciplines. The Danish system focuses specifically on the major.

If you major in CS in Denmark, you will take CS courses and only CS courses, to a fairy close approximation (due to staffing this might include 1 or 2 courses taught in the math department, but that's about as far outside the CS department as you're likely to get). Whereas if you major in CS in the U.S., it's frequently the case that there is a "common core" everyone has to take that includes other courses. For example, I did my CS degree in the U.S., and I had to take about 4 semesters of natural sciences (w/labs), 1 of engineering, 6 of mathematics, several humanities courses, etc., in addition to my CS courses. In Denmark a CS student is very unlikely to ever find themselves in the natural-sciences, humanities, or engineering departments (in Copenhagen they aren't even in physical proximity).