According to Merriam Webster a college and school are one in the same.
College is used in the definition of school
Main Entry: 1school
Pronunciation: 'skül
Function: noun
Etymology: Middle English scole, from Old English scOl, from Latin schola, from Greek scholE leisure, discussion, lecture, school; perhaps akin to Greek echein to hold -- more at SCHEME
1 : an organization that provides instruction: as a : an institution for the teaching of children b : COLLEGE, UNIVERSITY c (1) : a group of scholars and teachers pursuing knowledge together that with similar groups constituted a medieval university (2) : one of the four faculties of a medieval university (3) : an institution for specialized higher education often associated with a university <the school of engineering> d : an establishment offering specialized instruction <a secretarial school> <driving schools>
2 a (1) : the process of teaching or learning especially at a school (2) : attendance at a school (3) : a session of a school b : a school building c : the students attending a school; also : its teachers and students
3 : a source of knowledge <experience was his school>
4 a : persons who hold a common doctrine or follow the same teacher (as in philosophy, theology, or medicine) <the Aristotelian school> b : a group of artists under a common influence c : persons of similar opinions or behavior <other schools of thought>
5 : the regulations governing military drill of individuals or units; also : the exercises carried out <the school of the soldier>