[Animats]

No, much of computing belongs in the business school, communications department. Facebook, Google, Twitter, and all the ad-supported "tech" companies are part of the advertising industry. Put all the application-related courses for low-level computer science over there. Web and app development go there.

Classic hardcore CS, where people make distributed databases, new algorithms, and robot control systems, worry about proof of correctness, and study automata theory, is part of mathematics.

Machine learning is a branch of statistics.