applied math vs applied mathematics

applied math and applied mathematics both are nouns.

Word	Noun	Adjective	Verb	Adverb
applied math	Yes	No	No	No
applied mathematics	Yes	No	No	No

As nouns, applied math and applied mathematics are synonyms defined as:

applied math and applied mathematics: the branches of mathematics that are involved in the study of the physical or biological or sociological world

applied math (noun)	applied mathematics (noun)
the branches of mathematics that are involved in the study of the physical or biological or sociological world	the branches of mathematics that are involved in the study of the physical or biological or sociological world