Expanding Universe
Review of the history of the Universe: main stages of evolution.
Key observational data.
Friedmann equation.
FRW metrics.
Distance to the horizon.
Age of the Universe.
Linear growth of fluctuations
Different modes and different regimes of the linear growth.
Transfer functions.
Power spectrum and correlation function.
Statistics of fluctuations.
Nonlinear evolution of fluctuations.
Spherical collapse model.
Zeldovich approximation.
Halo mass function.
Properties of dark matter halos.
Galaxy biases.
Redshift distortions.
Galaxy clustering.
Comparison with observations.
Physics of the early Universe.
Inflation.
Particles in early universe.
Big Bang nucleosynthesis.
Recombination and decoupling.
Fluctuations in the Cosmic Microwave Background.