. "Cosmology"@en . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . "Advanced cosmology"@en . . "6.0" . "Recommendations\n\nStudents should have a previous knowledge of the following subjects taught in the bachelor’s degree in Physics: Astrophysics and Cosmology, Statistical Mechanics, General Relativity and Quantum Mechanics and, possibly, of High Energy Physics.\n\nCompetences to be gained during study\n\nBasic competences\n\n— Knowledge forming the basis of original thinking in the development or application of ideas, typically in a research context.\n\n— Be able to apply the acquired knowledge to problem-solving in new or relatively unknown environments within broader (or multidisciplinary) contexts related to the field of study.\n\n— Be able to integrate knowledge and tackle the complexity of formulating judgments based on incomplete or limited information, taking due consideration of the social and ethical responsibilities involved in applying knowledge and making judgments.\n\n— Be able to communicate conclusions, judgments and the grounds on which they have been reached to specialist and non-specialist audiences in a clear and unambiguous manner.\n\n— Skills to enable lifelong self-directed and independent learning.\n\n \n\nGeneral competences\n\n— Be able to effectively identify, formulate and solve problems, and to critically interpret and assess the results obtained.\n\n— Be able to write scientific and technical documents.\n\n— Be able to communicate, give presentations and write scientific articles in English on fields related to the topics covered in the master’s degree.\n\n— Be able to critically analyze rigour in theory developments.\n\n— Be able to acquire the necessary methodological techniques to develop research tasks in the field of study.\n\n \n\nSpecific competences\n\n— Capacity to analyze and interpret a physical system in terms of the relevant scales of energy.\n\n— Capacity to identify relevant observable magnitudes in a specific physical system.\n\n— Capacity to test predictions from theoretical models with experimental and observational data.\n\n— Capacity to understand and use current theories on the origin and evolution of the universe and to learn the observational data on which these theories are based.\n\n— Capacity to critically analyze the results of calculations, experiments or observations, and to calculate possible errors.\n\n \n\n \n\n \n\n \n\nLearning objectives\n\n \n\nReferring to knowledge\n\n— Understand the fundamental aspects of the current standard model of cosmology.\n\n— Become familiar with the geometry and dynamics of Friedmann models.\n\n— Understand the observational basis for the existence of dark matter and dark energy, and its theoretical treatment.\n\n— Understand the origin of the cosmic microwave background and the abundance of light elements and understand the calculations of the abundance of the relic density for dark matter candidates.\n\n— Learn some applications of the theory of phase transitions to cosmology.\n\n— Understand the problems that have led to the inflationary model and the main physical and geometric characteristics of cosmic inflation.\n\n \n\n \n\nTeaching blocks\n\n \n\n1. Spacetime and the expansion of the universe\n1.1. Luminosity and angular diameter distances. \n\n1.2. Distances and redshift, Hubble law.\n\n1.3. Space-time geometry. Cosmological principle. Cosmic time, scale factor.\n\n1.4. Robertson-Walker metric.\n\n1.5. Dynamics of expansion. Friedmann equation. Case of matter domination.\n\n2. Cosmic microwave background radiation\n2.1. Discovery of the Cosmic Microwave Background. Blackbody spectrum.\n\n2.2. Radiation density as a function of redshift. Dynamics of expansion with radiation.\n\n2.3. Dipole anisotropy.\n\n2.4. Recombination epoch. Reionization, electron optical depth.\n\n3. Cosmic budget and cosmological parameters\n3.1. Baryonic matter in the Universe.\n\n3.2. Evidence for dark matter: galaxies, clusters.\n\n3.3. Matter-radiation equalization epoch.\n\n3.4. Accelerated expansion, dark energy.\n\n3.5. Evidence for dark energy: supernovae Type Ia.\n\n4. Large scale structure\n4.1. Fluctuations in the Universe: growth of linear perturbations.\n\n4.2. Non-linear gravitational evolution and the cosmic web.\n\n4.3. Formation of galaxies and galaxy clusters.\n\n4.4. Anisotropies in the Cosmic Radiation Background: acoustic peaks and Sachs-Wolfe\neffect.\n\n4.5. Further evidence for dark matter and dark energy: the CMB spectrum.\n\n4.6. The Standard ΛCDM model. Matter power spectrum transfer function.\n\n5. Hydrodynamical variables and chemical reactions at equilibrium\n6. Early Universe: thermal history\n6.1. The radiation era\n\n6.2. Formation of baryons\n\n6.3. Neutrinos decoupling and out of equilibrium evolution\n\n6.4. Boltzmann equations\n\n6.5. Nucleosynthesis\n\n6.6. Recombination\n\n6.7. CMB\n\n7. Dark Matter\n7.1. Relic abundance via freeze-out\n\n7.2. Primordial Black Holes and Axions\n\n8. Elements of cosmic inflation\n8.1. The horizon problem\n\n8.2. Realizations of inflation\n\n8.3. Reheating\n\n8.4. Basics of inflationary perturbation theory and relation to CMB\n\n9. The cosmological constant problem\n \n\n \n\nTeaching methods and general organization\n\n \n\nLectures.\nExpository classes.\nProblem-solving activities.\n\n \n\n \n\nOfficial assessment of learning outcomes\n\n \n\nWritten tests (5/10)\nProblem-solving exercises or oral presentations (5/10)\n\nRepeat assessment: Final examination in June\n\n \n\nExamination-based assessment\n\nFinal written examination (10/10)\n\nRepeat assessment: Final examination in June\n\nReading and study resources\n\nBook\n\nDodelson, Scott. Modern cosmology. Amsterdam [etc.] : Academic Press, cop. 2003\n\n Enllaç\nRecurs electrònic Enllaç\n\nKolb, Edward W. ; Turner, Michael S. The early universe. Reading (Mass.) [etc.] : Addison-Wesley, 1990 Enllaç\n\n\nLinde, Andrei. Particle physics and inflationary cosmology. Amsterdam : Harwood Academic, cop. 1990 Enllaç\n\n\nMukhanov, V. F. Physical foundations of cosmology. Cambridge : Cambridge University Press, 2005 Enllaç\n\n\nPeacock, John A. Cosmological physics, 9. repr. with corrections. Cambridge : Cambridge University Press, 2010 Enllaç\n\n\nhttps://cercabib.ub.edu/discovery/search?vid=34CSUC_UB:VU1&search_scope=MyInst_and_CI&query=any,contains,b2064349* Enllaç\n\nPeebles, P. J. E. Principles of physical cosmology. Princeton : Princenton University Press, cop. 1993 Enllaç\n\n\nWeinberg, Steven. Cosmology. Oxford : Oxford University Press, 2008 Enllaç\n\n\nIntroduction to Cosmology, Barbara Ryden, Cambridge University Press 2017 Enllaç\n\nMore information at: http://grad.ub.edu/grad3/plae/AccesInformePDInfes?curs=2023&assig=568422&ens=M0D0B&recurs=pladocent&n2=1&idioma=ENG" . . "Presential"@en . "TRUE" . . "Master in Astrophysics, Particle Physics and Cosmology"@en . . "https://web.ub.edu/en/web/estudis/w/masteruniversitari-m0d0b" . "60"^^ . "Presential"@en . "The master's degree Astrophysics, Particle Physics and Cosmology of the University of Barcelona is intended for holders of bachelor's degrees and equivalent undergraduate degrees (particularly in physics), engineers and technical engineers who wish to pursue a specialization in one of the following branches of knowledge: astrophysics and space sciences; atomic, nuclear and particle physics; or gravitation and cosmology. The duration and specific content will depend on each applicant's previous studies.\nThe master's degree seeks to provide students with the training needed to conduct research in one of the fields listed above or in a related field, thanks to the interdisciplinary subjects also included in the program.\n\nThe course focuses on preparing students to begin a doctoral thesis upon completion of their degree, enabling them to pursue an academic career. However, it also provides highly valuable training for a career in the public or private sector, opening up a wide range of employment options.\n\nObjectives\nThe objectives of the master's degree are to provide students with advanced academic training in the fields of astrophysics, space sciences, atomic, nuclear and particle physics, gravitation and cosmology. More specifically, the objectives are:\n\n\n\nto study the content of a carefully selected set of subjects;\n\nto acquire the work methodology needed for conducting research and completing a doctoral thesis in the above fields through the completion of one or more research projects during the program;\n\nto acquire the skills needed to give scientific presentations;\n\nto acquire the competences, skills and abilities required to join a research group and complete doctoral studies or eventually join companies that pursue developments related to research in the mentioned fields.\n\nCompetences\nThe generic competences obtained by students will be instrumental (such as the capacity for analysis and synthesis, a working knowledge of English, knowledge of software tools and decision-making skills), interpersonal (such as critical reasoning, teamwork and creativity), and systemic (such as the capacity for independent learning and the capacity to adapt to new situations).\n\nThe specific competences obtained by students will be the capacity to understand a physical system in terms of the relevant scales of energy, the capacity to identify observable magnitudes and the capacity to test predictions from theoretical models with experimental and observational data.\n\nAnother potential specific competence is the capacity to develop and apply new technologies."@en . . . "1"@en . "FALSE" . . . "Master"@en . "Thesis" . "1660.20" . "Euro"@en . "4920" . "None" . "Obtaining the Master's Degree in Astrophysics, Particle Physics and Cosmology is the first step towards undertaking a doctoral thesis in one of the research lines in the general fields of Astronomy and Astrophysics (astrophysics and space sciences) or Particle Physics and Gravitation (atomic, nuclear and particle physics, gravitation and cosmology). Some of the more applied syllabus content may also open professional doors to work in companies in the aerospace, energy, financial and communications sectors, among others, as these require specialists in the fields of space science, data processing and analysis, process simulation and advanced computation, etc."@en . "2"^^ . "TRUE" . "Upstream"@en . . . . . . . . . . . . . . . . . . . . .