An old example from the beginning of the century: if you did matrix algebra you could have understood how to rotate an object position in 3D for a game using math but find it very hard to code. Or you could take Michael Abrash's Graphics Programming Black Book [1] and learn it anyway. You'll do fine.
[1] https://www.jagregory.com/abrash-black-book/#a-simple-3-d-ex...
So I'm taking a math course in the evenings and going to try university this year!
I wouldn't put much stock in word choices like that. Connotations vary so immensely around the world, it's best to presume they're synonyms unless context says otherwise.
Boy, I can't wait until that magical day where I can bust out my knowledge of that Pumping Lemma, though, for those proofs I need to... always be writing...?