One little disagreement: you couldn't do it without math...

At this point I am being deliberately general and by 'math' mean "...the study of patterns of structure, change, and space" as it is defined somewhere on the Net. In this definition math, as logical thinking, is the basis for the 'intelligent' life. You cannot make an informed decision in life without reviewing gathered data, searching for patterns, comparing them, and choosing between them based on some criteria. And that is math! So, it is needed not just for programming

I realize my opinion might be somewhat biased, but too often I see people who did NOT take math in school trying to become programmers because they want to be well paid. Their behaviour makes me want to say 'those who cannot work with their heads shalt work with their hands'...

P.S. If I couldn't get a CS degreed person, I would choose Physics as a substitute - they know math and they can apply it...