I got my undergrad degree in theoretical mathematics. Then right after graduation I went to work for a computer graphics company. Eventually I got my Ph.D. in computer science.
The other day a colleague asked me whether that math degree had been useful in my career. It was a thoughtful question, and it deserved a thoughtful answer.
I told him that the process of learning to program and mastering the principles of computer science, was, by analogy, like learning to play the piano. It was an enormously important set of skills. Having all those skills and concepts under my belt has very much helped me in my career.
But by the same analogy, learning math was like learning to understand music itself. Computer science merely gave me the tools needed to execute my vision of what could be possible with computer graphics. Mathematics taught me how to understand and think about that vision itself.