<< Cosmo.WebHome %TOC% ---- ---++ Course ID: * 0800-M-SOU1-DY ---++ Semester/year: * summer 2012/2013 ---++ Erasmus code: * 13.7 ---++ Course title: * The Shape of the Universe part I Name in Polish: The Shape of the Universe part I ---++ Department: * Faculty of Physics, Astronomy and Informatics ---++ Course groups: (in Polish) Astronomia s2. Wykłady monograficzne do wyboru (in Polish) Fizyka s2. Wykłady monograficzne do wyboru (in Polish) Wykłady monograficzne do wyboru (wszystkie oferowane w danym roku akademickim) ---++ Course homepage: * http://cosmo.astro.uni.torun.pl/foswiki/bin/view/Cosmo/MonographCosmoOpisShapeUniverse ---++ ECTS credit allocation (and other scores): * 3.00 OR 5.00 (differs over time) ---++ Number of contact hours: * 30 ---++ Language: * English ---++ Brief description: * Formal and intuitive introduction to the comoving spatial section of the Universe according to the Friedmann-Lemaitre-Robertson-Walker model, i.e. as a constant curvature 3-manifold, primarily focussing on empirical measurements of the two main properties of space: curvature and topology. ---++ Full description: * space as a 3-manifold: curvature + topology * curvature and the metric, the role of the Einstein-Hilbert equations in hot big bang cosmology * comoving coordinates, scale factor, local cosmological parameters, Friedman equation, fluid equation, acceleration equation * multiply connected 3-manifold, fundamental domain, apparent space * 3-dimensional empirical approaches * 2-dimensional empirical approaches: identified circles principle, cosmic microwave backround * ongoing research project * beyond the FLRW model: the Earth exists ---++ Bibliography: * Liddle, A.R., 2000, Introduction to modern cosmology, 2nd edition if possible * Roukema, B.F., 2000, The Topology of the Universe, Bull.Astron.Soc.India 28 (2000) 483, arXiv:astro-ph/0010185 * Peebles, P.J.E., 1993, Principles of physical cosmology, Princeton: Princeton University Press ---++ Prerequisites: ---+++ required: * elementary algebra; calculus; three-dimensional Euclidean geometry; Newtonian physics; ---+++ recommended: * basic astronomy; spherical astronomy; extragalactic observational astronomy; differential geometry; special and general relativity ---++ Learning outcomes: * knowledge: geometrical, topological, physical, algebraic and numerical familiarity with the present state of empirical knowledge about the whole of the observable Universe and common definitions of the size of the Universe * knowledge: awareness of the role of open access to scientific empirical data and theoretical tools and FLOSS software for scientific analysis in modern scientific research (FLOSS: free/libre/open source software) * skills: the ability to make elementary geometrical calculations for the main cosmological distance definitions (4 points in exam) for the three signs of curvature * social skills: experience in subjecting one's learning to potentially intensive peer review (1 point in exam) ---++ Assessment criteria: * The exam consists of four points from html/latex/WIMS exercises which test the student using questions randomly chosen from an N-dimenionsal parameter space of questions where N varies from about 8 to 18, and one creative point offering the student the chance to subject his/her learning to potentially intensive peer review. ---++ Practical placement: * Initial steps towards observational cosmology research.
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Topic revision:
20 Apr 2012,
BoudRoukema
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