assignment vs homework

assignment and homework both are nouns.

Word	Noun	Adjective	Verb	Adverb
assignment	Yes	No	No	No
homework	Yes	No	No	No

As nouns, homework is a hyponym of assignment; that is, homework is a word with a more specific, narrower meaning than assignment:

assignment: an undertaking that you have been assigned to do (as by an instructor)
homework: work, such as schoolwork or piecework, that is done at home

Other hyponyms of assignment include school assignment, schoolwork, writing assignment, written assignment.

assignment (noun)	homework (noun)
a duty that you are assigned to perform (especially in the armed forces)	work, such as schoolwork or piecework, that is done at home
the act of putting a person into a non-elective position
the act of distributing something to designated places or persons
an undertaking that you have been assigned to do (as by an instructor)
the instrument by which a claim or right or interest or property is transferred from one person to another
(law) a transfer of property by deed of conveyance