Universität Wien
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250061 VU Cosmological Structures: Theory, Numerics and Statistics (2021S)

4.00 ECTS (2.00 SWS), SPL 25 - Mathematik
Continuous assessment of course work

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Details

max. 25 participants
Language: English

Lecturers

Classes (iCal) - next class is marked with N

During COVID-19 restrictions fully on-line (via Moodle)

  • Friday 05.03. 09:45 - 11:15 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 19.03. 09:45 - 11:15 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 26.03. 09:45 - 11:15 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 16.04. 09:45 - 11:15 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 23.04. 09:45 - 11:15 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 30.04. 09:45 - 11:15 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 07.05. 09:45 - 11:15 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 14.05. 09:45 - 11:15 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 21.05. 09:45 - 11:15 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 28.05. 09:45 - 11:15 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 04.06. 09:45 - 11:15 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 11.06. 09:45 - 11:15 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 18.06. 09:45 - 11:15 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 25.06. 09:45 - 11:15 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß

Information

Aims, contents and method of the course

The goal of this course is to study a range of key theoretical techniques (analytical, numerical, statistical) in the context of the formation of structure in our Universe. The lecture course will provide a concise introduction to cosmology with a focus on the large-scale structure (i.e. the inhomogeneous distribution of matter on large scales). We will motivate the key (non-linear partial differential) equations and then approach their solutions and the associated phenomenology using various techniques. We will touch on topics such as spatial statistics, perturbation theory, numerical solution of PDEs, N-body methods, and data analysis. An important aspect of the course will be hands-on exercises based on (1) numerical experiments with Python, as well as (2) analytical/perturbative calculations.

Some familiarity with Python is helpful. Familiarity with General Relativity/Differential Geometry or Astrophysics is not a pre-requisite.

Assessment and permitted materials

The final mark will come from 3 homework problem sets, as well as a short focus project paper (i.e. a more in-depth follow-up study of one of the topics of the course, topics will be suggested and mutually agreed upon).

Minimum requirements and assessment criteria

Minimum requirement: at least 50% of points on homework problems, and submission of a 3-5 page write-up of a small ‘focus’ project at the end of term.

Final mark will be 60% homework, 40% focus project paper. Homework can be done in groups, focus project must be carried out and submitted individually.

Examination topics

Reading list

Lecture notes will be provided ahead of each session.

For those completely unfamiliar with the Python language, the small book by Ch. Schaefer "Schnellstart Python" can serve as a starting point: https://link-springer-com.uaccess.univie.ac.at/book/10.1007%2F978-3-658-26133-7

Association in the course directory

MAMV

Last modified: Fr 12.05.2023 00:21