mathematics vs analytic

mathematics is a noun but analytic is not a noun.

Word	Noun	Adjective	Verb	Adverb
mathematics	Yes	No	No	No
analytic	No	Yes	No	No

mathematics (noun)	analytic (noun)
a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

mathematics (adjective)	analytic (adjective)
	of a proposition that is necessarily true independent of fact or experience
	expressing a grammatical category by using two or more words rather than inflection
	using or skilled in using analysis (i.e., separating a whole--intellectual or substantial--into its elemental parts or basic principles)
	using or subjected to a methodology using algebra and calculus