Part 2 of 2.
d) Schools that only teach undergraduates, only grant bachelors degree, and have no other schools, are called "colleges." Some well-known schools of this kind include Amherst College, Haverford College, Vassar Collage.
e) Because people think of universities as bigger and "better" than colleges, in recent years there has been a tendency for small colleges to call themselves "universities" if they can find any excuse to do so.
f) Just to make things totally confusing, there are two big, famous, excellent full-sized research universities that, for reasons of history, prefer to call themselves "colleges:" Dartmouth College and the College of William and Mary.
g) The terminology vaguely echoes those of medieval universities in Europe, which were collections of colleges. Oxford and Cambridge have numerous _undergraduate_ colleges (Balliol College, Kebel College, etc.) In the U.S. most universities contain a _single_ large college, but there are exceptions--I think Yale has a collection of separate undergraduate colleges.