[McUsr]

I don't know about critical thinking in general, or science, but you definetively need some math courses, in order to get the necessary problem solving skills to be able to come up with clever solutions. Some people are born with those skills, or think in a similiar way, so those people, doesn't need learn the ability of mathematical reasoning. Nevertheless, the mathematical reasoning is mandatory if you want to be an excellent programmer. Together with a lot of other skills. I am thinking about the skillset you get by solving excercises in Calculus. Having a solid understanding of Discrete Mathematics and Statistics doesn't hurt either, depending on your problem area.