How do you keep fluent in maths?

Question

I am noticing that the more I study "new" subjects from my undergrad course, the more I find myself studying again the same mathematical principles, theorems etc. This is because with my poor organization I often find myself studying similar subjects months later. So I wanted to know how to keep my knowledge fresh, especially about math concepts.Thanks in advance.

throwawaysalome · Accepted Answer

You don't. For most people, the commonly used tricks (e.g., Leibniz's rule) are sufficiently nontrivial that you have to review them in the new context.What you've yet to experience however is just how vastly long life is after college. If you think you're barely able to keep everything in your head now, just wait until you're 30. If you haven't gone into academia, the maths you're studying now will be like a forgotten dream.