There are two different questions here, and two different issues for each question. These need unpacking.
The questions, as several people have already pointed out it, are the need for math for programming versus for computer science. The issues, for each question, are whether one needs math to get a degree in the area and to practice in the area.
For computer science, the answer is pretty straightforward. Computer science is an academic discipline that depends heavily on various kinds of mathematics: probability and statistics, logic, etc. You won’t get far in it without mathematics either in terms of getting an education or in terms of practicing it. (You might be able to work in a few branches of it without directly using mathematics, and needing only the structural discipline that I discuss below, but you will have a hard time getting to that point in the first place.)
For programming, it’s certainly the case that current mainstream programming practice has relatively little dependence on mathematics. There are also many ways of getting an education that will get you to that point: probably not a typical university computer science degree (the calculus and discrete math requirements are likely to knock you right out), but perhaps training on-line or through programs like CIS (computing and information sciences) — besides, of course, self-education.