Usually, not in the sense that you need to know, say, calculus or trig equations to do most work. If you're doing heavy graphics/game programming, then yes. A famous math hack for Quake is a good example of this. However, the thinking that you have to get into while dealing with higher-level math certainly is applicable to programming; with programming, you are developing your own logic structure, your own functions, your own "proofs."

The only time I've run across math in my job (internal enterprise workflow and apps) is when I do some reporting apps that require knowledge of statistics, but that's only because it was directly applicable to requirements.