home study vs course of study

home study and course of study both are nouns.

Word	Noun	Adjective	Verb	Adverb
home study	Yes	No	No	No
course of study	Yes	No	No	No

As nouns, course of study is a hypernym of home study; that is, course of study is a word with a broader meaning than home study:

home study: a course of study carried out at home rather than in a classroom
course of study: education imparted in a series of lessons or meetings

Other hypernyms of home study include class, course, course of instruction.

home study (noun)	course of study (noun)
a course of study carried out at home rather than in a classroom	education imparted in a series of lessons or meetings
	an integrated course of academic studies