Not much. The kind of probability relevant to MIRI's interests is not the kind of probability you need calculus to understand (the random variables are usually discrete, etc.). The closest thing to needing a calculus background is maybe numerical analysis (I suspect it would be helpful to at least have the intuition that derivatives measure the sensitivity of a function to changes in its input), but even then I think that's more algorithms. Not an expert on numerical analysis by any means, though.

If you have a general interest in mathematics, I still reco... (read more)

Thanks. I took single variable calculus, differential equations, and linear algebra in college, but its been four years since then and I haven't really used any of it since (and I think I really only learned it in context, not deeply). I've just been trying to figure out how much of my math foundations i'm going to need to re-learn.

Not much. The kind of probability relevant to MIRI's interests is not the kind of probability you need calculus to understand (the random variables are usually discrete, etc.). The closest thing to needing a calculus background is maybe numerical analysis (I suspect it would be helpful to at least have the intuition that derivatives measure the sensitivity of a function to changes in its input), but even then I think that's more algorithms. Not an expert on numerical analysis by any means, though.

If you have a general interest in mathematics, I still reco... (read more)

Thanks. I took single variable calculus, differential equations, and linear algebra in college, but its been four years since then and I haven't really used any of it since (and I think I really only learned it in context, not deeply). I've just been trying to figure out how much of my math foundations i'm going to need to re-learn.

This was helpful.