The course is an introduction to modern cosmology, covering theory and providing connections with observational tests.
0  Introduction: cosmological principle, homogeneity and isotropy, FLRW. Recap of GR (curvatures, geodesics, real and comoving distance, EM tensors and Bianchi identity), DeSitter spaces and FRW with k=0,+1
1  FRW equations and solutions (with k=0), Perfect fluid EMT, conservation, Density and scale evolution for matter, radiation, CC, general fluid. Thermal history (epochs, equality, etc), Notions of critical density and acceleration
2  Cosmic horizons (particle and event horizons), Flatness problem, Luminosity distance, angular distance (Supernovae type I), Cosmological constant (problem of vacuum energy), Effect of CC on the age of the universe
3  Dark matter for background and perturbation evolution (Jeans and clustering). Perturbations and structure: LSS, CMB (possibly some details, power spectrum)
4  Problems related to dark matter (galaxies, clusters, simulations, DM candidates, detection), Problem of flatness & homogeneity: concept of inflation

 Mukhanov V., Physical foundations of cosmology (Cambridge University Press, 2005)
 Kolb E.W., Turner M.S. The early universe (Addison Wesley 1988)
 Dodelson S., Modern Cosmology, (Academic Press, Elsevier, 2003)
 Weinberg S., Cosmology (Oxford University Press, 2008)
