I very much disagree. I suppose it depends on how exactly you define "far"... but I've been a professional programmer for 15 years now, and have very little math skills (maybe some algebra? mostly forgotten by now, and calculus always escaped me).

As a web developer, most of my skill have to do with designing user interfaces and API's, learning various libraries/languages/frameworks, defining problems, estimating, communicating with other humans, etc.