Homogenous and isotropic universe: redshift and Hubble’s law, the age of the universe, mass density, baryons and dark matter, the cosmological principle and FRWL space-time.

Expanding universe and thermal production: Friedman's equation, time evolution of the universe, big bang cosmology, temperature and number densities of particles, equilibrium thermodynamics.

Beyond equillibrium: Boltzmann equations for annihilation, nucleosynthesis, cosmic microwave background, foton decoupling and recombination, discovery of CMB, neutrino cosmology, N_eff and CMB fluctuations.

Dark matter: candidates for dark matter, longevity, production in the early universe, thermal freeze-out, freeze-in, conservation of entropy and its dilution with decays of long-lived particles.

Phase transitions: false vacuum decay, Euclidean action and bounce solutions, thin wall bubbles, stability of the universe in the SM, basics of finite temperature field theory, restoration of symmetries, electroweak baryogenesis, domain walls, cosmic strings, magnetic monopoles, Kibble's mechanism and Parker's bound.

Baryogenesis: baryon asymmetry, the basic idea and Sakharov's conditions, erasure of existing asymmetries, lepton number asymmetry, sphalerons and leptogenesis.

Axions: the strong CP problem, Peccei-Quinn symmetry and the Weinberg-Wilczek axion, axions and stars, hidden axions, axionic dark matter, production modes in the early universe.

Inflation and accelerated expansion: cosmological constant, initial conditions, flatness, homogeneity and magnetic monopoles. Model(s) of inflation, gravitational waves and scalar perturbations.