  Cosmology is an attracting subject for students but usually difficult to deal
with if general relativity is not known. In this article, we first recall the
Newtonian derivation of the Friedmann equations which govern the dynamics of
our universe and discuss the validity of such a derivation. We then study the
equations of evolution of the universe in terms of a dynamical system. This
sums up the different behaviors of our universe and enables to address some
cosmological problems.
