Topic outline

  • 1. INTRODUCTION TO THE COURSE

    • 2. OBSERVATIONAL FACTS

      • 3. BACKGROUND OF COSMOLOGY 3.1 FRW metric 3.2 Relativistic cosmology 3.3 Inflation

        • 4. COSMOLOGICAL PERTURBATIONS 4.1 Newtonian theory of linear perturbations 4.2 Zeldovich approximation 4.3 Adhesion approximation 4.4 Relativistic theory 4.5 Transfer functions 4.6 Statistical properties 4.7 Origin of cosmological perturbations

          • 5. GRAVITATIONAL COLLAPSE AND COLLISIONLESS DYNAMICS 5.1 Spherical collapse 5.2 Similarity solution of spherical collapse 5.3 Collapse of homogeneous ellipsoid 5.4 Collisionless dynamics 5.5 Gravitational collapse 5.6 N-body simulations

            • 6. PROBING THE COSMIC DENSITY FIELD 6.1 Large-scale mass distribution 6.2 Large-scale velocity field 6.3 Clustering in real and redshift space 6.4 Clustering evolution 6.5 Galaxy clustering

              • 7. GRAVITATIONAL LENSING 7.1 Lensing from point-like objects 7.2 Lensing from galaxies 7.3 Lensing from galaxy clusters and from the large-scale structure of the Universe

                • 8. COSMIC MICROWAVE BACKGROUND 8.1 Brief thermal history 8.2 Temperature anisotropy from recombination 8.3 Polarization anisotropy from recombination

                  • 9. FORMATION AND STRUCTURE OF DM HALOS 9.1 Density peaks 9.2 Halo mass function 9.3 Progenitor distribution and merger trees 9.4 Spatial clustering and bias 9.5 Internal structure of DM halos 9.6 The halo model of DM clustering

                    • Topic 10