Some of the most important concepts in cosmology
are well explained in Nick Strobel's notes, and I suggest you start by
reviewing his pages on
Be warned that Strobel's section on the Fate of
the Universe is seriously out of date. Many of the statements there are wrong
because they incorrectly take for granted that the cosmological constant is
zero.
We now need to look at these ideas in a bit more
mathematical detail.