I would claim that Computer Science is a term that is supposed to apply to any science directly interested in computation. I really see no point in that. Mathematicians are interested in algorithms and complexity and the like, software engineers/db engineers are concerned with databases and UIs. There are different programming languages for each purpose. I see no reason to insist on clumping them in the same group.
tl;dr: every study involving computation or programming doesn't need to be in the same department.
tl;dr: every study involving computation or programming doesn't need to be in the same department.