Oferta na rok a k a d e m i c k i 2 0 1 1 / 2 0 1 2 - Wyklad ogolnouniwersytecki - informacja
Wydzial oferujacy wyklad:
Wydzial Fizyki, Astronomii i Informatyki Stosowanej
Nazwa przedmiotu:
Rozmiar Wszechświata
Erasmus/Socrates code
Erasmus Code 13.7
Skrócony opis
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, the various possible definitions of the "size" of the Universe according to model, and present observational estimates of these.
required: elementary algebra; calculus; three-dimensional Euclidean geometry; Newtonian physics; recommended: basic astronomy; spherical astronomy; extragalactic observational astronomy; differential geometry; special and general relativity
Tresci programowe
przestrzeń jako 3-rozmaitości: krzywizna + topologia (space as a 3-manifold: curvature + topology)
krzywizna i metryka, rola równań Einsteina-Hilberta w kosmologii wielkiego wybuchu ciepłego (curvature and the metric, the role of the Einstein-Hilbert equations in hot big bang cosmology)
wielospójne 3-rozmaitości, domen fundamentalny, przestrzeń widoczna (multiply connected 3-manifold, fundamental domain, apparent space)
różne definicji odległość w modelach FLRW (various definitions of distance in FLRW models)
różne definicji rozmiar przestrzeni współporuszające się, różnica między promieńiem krzywiznego a rozmiar rozmaitości (various definitions of the size of comoving space, difference between curvature radius and manifold size)
projekt badawczy aktualny (ongoing research project)
Efekty ksztalcenia
"(wiedza, umiejetnosci, kompetencje spoleczne)"
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)
social skills: experience in subjecting one's learning to potentially intensive peer review (1 point in exam)
The exam consists of four points from html/latex/WIMS exercises which test the student using questions randomly chosen from an N-dimensional 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.