Can't talk about Engineers, but as a professional programmer of 9 years with many years of undergraduate and graduate (M.Sc) Mathematics education, I must say I rarely/never use any of the math I've learned (at least not something I wouldn't have learned as an undergrad CS major) at work.

I have heard your argument very often though, it seems about as popular as the one that states painters benefit from knowledge of Chemistry[1] ;)

[1] http://www.idlewords.com/2005/04/dabblers_and_blowhards.htm#...