I saw a tweet today where someone said something along the lines of "Your mathematics are correct, but your grammar is wrong".
That annoyed me as "mathematics are" is either incorrect or else it's incredibly pompous.
That got me thinking - is "mathematics" a singular noun or a plural noun? I think it's singular, so I think it's both pompous and wrong. But I'd have to check.
As to whether it should be "math" or "maths". Meh. Both make perfectly good sense.
You've sent me down a rabbit hole.
I think trying to ascribe a definitively correct English answer to a translated Latin word ("mathematica") is going to end in tears.
Latin words that end with an "a" or "ae" are almost always either plural or uncountable. See alga/algae.
The field of mathematics would be uncountable singular.
"Mathematics is the study of numbers and shapes": valid
"This is a mathematics.": nonsense
Conversely it also comprises multiple branches.
"Algebra and trigonometry are both mathematics. Those mathematics are the ones that refer to arithmetic operations and shapes": odd but technically correct (the best kind of correct)
In the context you used, it could be a valid countable plural replacement e.g. "your calculations are correct" or "your application of the field of mathematics is correct"
What about physics?
"Math" is an annoying Americanism but easier to pronounce.
It's when Americans try to describe multiple bricks from a Danish toy manufacturer that I truly want to break my fist on their heads...