math vs science

math and science both are nouns.

Word	Noun	Adjective	Verb	Adverb
math	Yes	No	No	No
science	Yes	No	No	No

As nouns, science is a hypernym of math; that is, science is a word with a broader meaning than math:

math: a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
science: a particular branch of scientific knowledge

Other hypernyms of math include scientific discipline.

math (noun)	science (noun)
a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement	a particular branch of scientific knowledge
	ability to produce solutions in some problem domain