In the words of my Astrophysics Professor:

"Cosmology is the science of the Really Big Picture." - (Prof. Ken Ragan at McGill University)

If you treat stars as atoms, then the molecules that they make are Galaxies, and the Universe the whole object, one that we can barely comprehend.

The questions that any intro course in Cosmology will bring up are vast in scale; things like "What are the characteristics of the Universe?" "Why is it the way it is?" "How big is the universe?" "Where did it come from?" and, of course, "Where is it going?"

As opposed to Astronomy, Cosmology generally doesn't deal with as much observation, rather, it concentrates on stellar motion and interactions between galaxies. No serious cosmologist would bother with anything closer to home than Andromeda.