The lectures are presented as follows.

In the first part the experimental basis of modern cosmology is presented. Several decades ago the cosmology has only one basic experimental fact which form the experimental basis.
It was the expansion of our Universe. The main parameters of expansion were determined with huge uncertainty. For example, the Hubble parameter (H) which the main parameter determined the rate of expansion was measured as 50 < H < 150 (km/sec/Mpc). Only the last several years astronomers and cosmologists have instrument to measure this parameter with sufficient accuracy. The time begun when the 3K blackbody radiation was discovered.
Several years later cosmologists developed the theory of light elements production during the high temperature stage of the Universe evolution.
The conclusions of these calculations were cofirmed by observations. Later the theory of Large Scale Structure of our Universe was developed by Ya.B.Zeldovich and his collaborators. Next very important step in the Universe investigation was done by the observation of the anisotropy of the CMBR (3K blackbody radiation). The gravitational lenses though are not the subject of cosmological investigation can be considered as osmological objects. The last years the investigation of SuperNovae Ia stars reveale the accelarated expansion of our Universe. This very important fact of
the present day investigation is discussed in separate part of lectures.

The second part.
The correct cosmological model can be developed after the creation of the gravitational theory apllicapable to the strong gravitational field and to the large scales. This theory which is named now the General Relativity was created by Albert Einstein in 1916. The main ideas and differences of the relativistic theory of gravity are discussed in the second part of these lectures.

The third part of the lectures devoted to the analysis of the Friedmannien equations. The equations describe the evolution of our Universe were derived by Alexandr Friedmann in 1924. The conclusions of these equation were so unusual that even Albert Einstein did not belive in. But after the explanation of A.Friedmann transfered by A.Korotkov, Einstein agreed with the model developed. The Friedmannien equation predicted the expansion of our Universe. This expansion was discovered by Edwin Hubble in 1929 and the law of expansion has its name now.

The fouth part contains the newtonian description of the cosmological equations which reveal the physical sense of these equations and help to understand them. The fourth part contains the newtonian description of the cosmological equations.

The fifth part devoted to the determination (in mathematical sense) the observable quantities in the cosmology. The red shift, Hubble diagramms, distances, size of horizon are the subject of this part. At the end the solution of the Olberts paradox in Friedmannien cosmology is discussed.

The sixs part of the lectures are devoted to discussion of the small scale irregularities in cosmology and the equations for the evolution of these perturbations. The gravitational instability of different types of matter and on the different background is considered. The real matter in the early Universe is high temperature plasma. One has to consider the influence of high temperature plasma on the evolution of the irregularities during the expansion. The Silk effect (radiation drag) is one of the main effect which is considered here. The concept of dark matter is one of the most important concept in the astronomy as a whole. This concept is very important in cosmology.
The role of dark matter in the evolution of the small scale irregularities and different types of dark matter is discussed in this part of lectures.

The seventh part of the lectures is devoted to the nonlinear regime of evolution of density perturbations. The main feature of this stage is formation of the 2D structures which were named pankecks. Now is known as Zeldovich approximation. This type of structure was discovered and called now the Large Scale Structure of the Universe.