applied mathematics vs math

applied mathematics and math both are nouns.

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

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

applied mathematics: the branches of mathematics that are involved in the study of the physical or biological or sociological world
math: a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

Other hypernyms of applied mathematics include mathematics, maths.

applied mathematics (noun)	math (noun)
the branches of mathematics that are involved in the study of the physical or biological or sociological world	a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement