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(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:

## ECTS credit allocation (and other scores):

## Number of contact hours:

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## Prerequisites:

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## 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:

- Course ID:
- Semester/year:
- Erasmus code:
- Course title:
- Department:
- Course groups:
- Course homepage:
- ECTS credit allocation (and other scores):
- Number of contact hours:
- Language:
- Brief description:
- Full description:
- Bibliography:
- Prerequisites:
- Learning outcomes:
- Assessment criteria:
- Practical placement:

- 0800-M-SOU1-DY

- summer 2012/2013

- 13.7

- The Shape of the Universe part I Name in Polish: The Shape of the Universe part I

- Faculty of Physics, Astronomy and Informatics

- 3.00 OR 5.00 (differs over time)

- 30

- English

- 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.

- 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

- 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

- elementary algebra; calculus; three-dimensional Euclidean geometry; Newtonian physics;

- basic astronomy; spherical astronomy; extragalactic observational astronomy; differential geometry; special and general relativity

- Initial steps towards observational cosmology research.

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Topic revision: r1 - 20 Apr 2012, BoudRoukema

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