The degree isn't important IMO. What is important is a strong understanding of algorithms, data structures, memory, cache locality, your chosen language runtime, etc. Granted, it depends somewhat what you are doing. If your job is to make wordpress templates then it's probably not as important (not to diminish the people working with wordpress & friends), but still an invaluable thing to learn.

The associated calculus & math you'd learn in school for CS/engineering is also worthwhile to learn.