Module A. Introduction. The Homogeneous Universe<\/strong> Module B: The Non-Homogeneous Universe: Perturbations in the Matter Distribution<\/strong> Module C: Background Radiation<\/strong> Module D: Large-Scale Structure<\/strong> Module E: Gravitational Lenses<\/strong> [\/et_pb_text][et_pb_text _builder_version=”4.27.4″ _module_preset=”default” header_2_font_size=”30px” locked=”off” global_colors_info=”{}”]<\/p>\n [\/et_pb_text][et_pb_text _builder_version=”4.27.4″ _module_preset=”default” global_colors_info=”{}”]<\/p>\n [\/et_pb_text][et_pb_text _builder_version=”4.27.4″ _module_preset=”default” text_font=”|700|||||||” text_text_color=”#000000″ text_font_size=”30px” background_color=”#f1de09″ custom_padding=”10px|10px|10px|10px|false|false” global_colors_info=”{}”]<\/p>\n All the course information is available on its\u00a0<\/span>website<\/a>.<\/strong><\/p>\n [\/et_pb_text][et_pb_text _builder_version=”4.27.4″ _module_preset=”default” header_2_font_size=”30px” global_colors_info=”{}”]<\/p>\n [\/et_pb_text][et_pb_image src=”https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-21-3-scaled.png” title_text=”Asignaturas m\u00e1ster (21)” url=”https:\/\/drive.google.com\/file\/d\/1sgJeWSRHlCN0p1Hb07E8_thnzK88qE0q\/view” url_new_window=”on” _builder_version=”4.27.4″ _module_preset=”default” width=”50%” max_width=”50%” module_alignment=”center” global_colors_info=”{}”][\/et_pb_image][et_pb_text _builder_version=”4.27.4″ _module_preset=”default” header_2_font_size=”30px” custom_margin=”50px||||false|false” global_colors_info=”{}”]<\/p>\n [\/et_pb_text][et_pb_image src=”https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-20-4-scaled.png” title_text=”Asignaturas m\u00e1ster (20)” url=”https:\/\/drive.google.com\/file\/d\/1ZSMzpkn1miDhmHvGev4fj4oEC_LIcTpu\/view” url_new_window=”on” _builder_version=”4.27.4″ _module_preset=”default” width=”50%” max_width=”50%” module_alignment=”center” global_colors_info=”{}”][\/et_pb_image][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":" Academic TeamCourse ContentType: Optional\u2013 PEC&AC Track \u2013 3rd Trimester Module A. Introduction. The Homogeneous Universe The standard Cosmological Model. Cosmological parameters. Problems of the Big Bang model. The Inflationary solution. Module B: The Non-Homogeneous Universe: Perturbations in the Matter Distribution Linear theory of perturbation evolution in Friedmann universes. Non-linear perturbation theory: Zeldovich approximation and N-body […]<\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"\n Type: Optional\u2013 PEC&AC Track \u2013 3rd Trimeste<\/strong>r<\/p>\n\n\n\n Module A. Introduction. The Homogeneous Universe<\/strong> Module B: The Non-Homogeneous Universe: Perturbations in the Matter Distribution<\/strong> Module C: Background Radiation<\/strong> Module D: Large-Scale Structure<\/strong> Module E: Gravitational Lenses<\/strong> <\/p>\n","_et_gb_content_width":"1080","footnotes":""},"categories":[20,18],"tags":[],"class_list":["post-1307","post","type-post","status-publish","format-standard","hentry","category-common-courses","category-optional"],"_links":{"self":[{"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/posts\/1307","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/comments?post=1307"}],"version-history":[{"count":10,"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/posts\/1307\/revisions"}],"predecessor-version":[{"id":2366,"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/posts\/1307\/revisions\/2366"}],"wp:attachment":[{"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/media?parent=1307"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/categories?post=1307"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/tags?post=1307"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\nThe standard Cosmological Model. Cosmological parameters.
\nProblems of the Big Bang model.
\nThe Inflationary solution.<\/p>\n
\nLinear theory of perturbation evolution in Friedmann universes.
\nNon-linear perturbation theory: Zeldovich approximation and N-body simulations.<\/p>\n
\nPropagation of a radiation field in an inhomogeneous Friedmann Universe.
\nOrigin of anisotropies in the Background Radiation: Sachs-Wolfe effect, integrated Sachs-Wolfe effect.
\nAcoustic oscillations on the last scattering surface. Adiabatic and isocurvature modes.
\nRecent observations and implications for structure formation models. Cosmological parameters.
\nSunyaev-Zeldovich effect: hot gas in clusters and secondary anisotropies in the background radiation.<\/p>\n
\nObservations of matter distribution.
\nStatistical methods in Cosmology.
\nMeasurement of the correlation function and power spectrum from galaxy catalogs.
\nLuminosity functions and mass functions. Comparison between simulations and observations.
\nBaryon acoustic oscillations in the galaxy distribution. Spectroscopic and photometric surveys.
\nDetermination of cosmological parameters from large-scale structure.<\/p>\n
\nHistory. Basic concepts.
\nEquations of gravitational lensing effect.
\nStrong and weak lenses.
\nApplications in Cosmology.<\/p>\nReading List<\/h2>\n
\n
\nThe Cosmic Microwave Background<\/em>\u00a0<\/span>\u2013 R. Durrer. Cambridge University Press (2008).<\/li>\n Teaching Plan Information<\/h2>\n
Course Schedule<\/h2>\n
Academic Team<\/h2>\n\n\n\n
![\"\"](\"https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-32.png\")
<\/a><\/figure>\n\n\n\n![\"\"](\"https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-48-1024x576.png\")
<\/a><\/figure>\n\n\n\n![\"\"](\"https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-28-1024x576.png\")
<\/a><\/figure>\n\n\n\nCourse Content<\/h2>\n\n\n\n
The standard Cosmological Model. Cosmological parameters.
Problems of the Big Bang model.
The Inflationary solution.<\/p>\n\n\n\n
Linear theory of perturbation evolution in Friedmann universes.
Non-linear perturbation theory: Zeldovich approximation and N-body simulations.<\/p>\n\n\n\n
Propagation of a radiation field in an inhomogeneous Friedmann Universe.
Origin of anisotropies in the Background Radiation: Sachs-Wolfe effect, integrated Sachs-Wolfe effect.
Acoustic oscillations on the last scattering surface. Adiabatic and isocurvature modes.
Recent observations and implications for structure formation models. Cosmological parameters.
Sunyaev-Zeldovich effect: hot gas in clusters and secondary anisotropies in the background radiation.<\/p>\n\n\n\n
Observations of matter distribution.
Statistical methods in Cosmology.
Measurement of the correlation function and power spectrum from galaxy catalogs.
Luminosity functions and mass functions. Comparison between simulations and observations.
Baryon acoustic oscillations in the galaxy distribution. Spectroscopic and photometric surveys.
Determination of cosmological parameters from large-scale structure.<\/p>\n\n\n\n
History. Basic concepts.
Equations of gravitational lensing effect.
Strong and weak lenses.
Applications in Cosmology.<\/p>\n\n\n\nReading List<\/strong><\/h3>\n\n\n\n
\n
The Cosmic Microwave Background<\/em> \u2013 R. Durrer. Cambridge University Press (2008).<\/li>\n\n\n\nAll the course information is available on its website<\/a>.<\/strong><\/h2>\n\n\n\n
Teaching Plan Information<\/h2>\n\n\n\n
![\"\"](\"https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-21-3-1024x576.png\")
<\/a><\/figure>\n\n\n\nCourse Schedule
<\/a><\/h2>\n\n\n\n![\"\"](\"https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-20-4-1024x576.png\")
<\/a><\/figure>\n\n\n\n