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Functionally I see many non math people struggle to understand rate of change.

I find integrals useful.

Also I see my computer science pals have a lack of faith in math. I don't understand why.

What do you mean by lack of faith? Not trusting mathematical proofs?

I can't speak for GP, but I'd speculate "lack of faith that understanding the math behind computer science will provide any real value as a programmer".

Ah, then I'm right behind. But it's not that more Math knowledge wouldn't help at all, just that the cost to benefit ratio seems not worth it.

I never needed actual Math in my career so far.

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