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If you are going to learn programming on your own and not planning to go through a computer science curriculum, then I would say you don't need much more than basic algebra and arithmetic. The majority of fields in demand (Web dev, mobile, etc.) don't involve much math if any.

If you are going to a CS curriculum then I would advise learning up to Calc 1 pretty well before hand in order to be ready because I had to take all of calculus (1, 2, 3), linear algebra, and a few CS classes that involved math like (Discrete Mathematics, Theoretical CS, etc.). It wasn't fun because I am not strong in math but I got through them.

Most importantly, if math is not your strongest subject, don't be discouraged to still learn programming because I was in the same situation and now after going through a CS degree and working at a few companies, I can confidently tell you that everyday work will very rarely involve any math beyond basic arithmetic.