Universität Wien FIND

250155 VU Cosmic Structures: Theory, Numerics and Statistics (2022W)

6.00 ECTS (3.00 SWS), SPL 25 - Mathematik
Prüfungsimmanente Lehrveranstaltung
VOR-ORT

An/Abmeldung

Hinweis: Ihr Anmeldezeitpunkt innerhalb der Frist hat keine Auswirkungen auf die Platzvergabe (kein "first come, first served").

Details

max. 25 Teilnehmer*innen
Sprache: Englisch

Lehrende

Termine (iCal) - nächster Termin ist mit N markiert

Dienstag 04.10. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Freitag 07.10. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
Dienstag 11.10. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Freitag 14.10. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
Dienstag 18.10. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Freitag 21.10. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
Dienstag 25.10. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Freitag 28.10. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
Freitag 04.11. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
Dienstag 08.11. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Freitag 11.11. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
Dienstag 15.11. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Freitag 18.11. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
Dienstag 22.11. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Freitag 25.11. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
Dienstag 29.11. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Freitag 02.12. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
Dienstag 06.12. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Dienstag 13.12. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Freitag 16.12. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
Dienstag 10.01. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Freitag 13.01. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
Dienstag 17.01. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Freitag 20.01. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
Dienstag 24.01. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Freitag 27.01. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
Dienstag 31.01. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock

Information

Ziele, Inhalte und Methode der Lehrveranstaltung

The formation of complex structure in our Universe from quantum fluctuations is one of the key topics of modern cosmology. The goal of this course is to study the wide range of theoretical techniques (analytical, numerical, statistical) used in the context of cosmic structure formation. The 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 equations and then approach their solutions and the associated phenomenology using various techniques. This course is aimed at a broad audience of students in applied mathematics, physics, astrophysics, or computational science. We will touch on a wide range of topics in applied mathematics such as (not in chronological order)
- random fields, excursion sets
- spatial statistics: correlation functions, power spectrum
- analytical methods for PDEs and ODEs, perturbation theory and asymptotic methods
- numerical solutions of PDEs and ODEs,
- numerical N-body methods, and
- data analysis
Also the relevant (astro-)physical concepts in cosmology (inflation, cosmic microwave background, Newtonian gravity in an expanding universe, the Vlasov-Poisson system, …) will be introduced and discussed.

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. Please note that familiarity with General Relativity/Differential Geometry or Astrophysics is not a pre-requisite for this course.

Art der Leistungskontrolle und erlaubte Hilfsmittel

The final mark will come from 4 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).

Mindestanforderungen und Beurteilungsmaßstab

Minimum requirement: at least 50% of points on homework problems, and submission of a 4-5 page write-up of a small ‘focus’ project at the end of term.

Final mark will be 67% homework, 33% focus project paper. Homework can be done in groups, focus project must be carried out and submitted individually.

Prüfungsstoff

Literatur

Lecture notes will be provided ahead of each session through moodle.

Zuordnung im Vorlesungsverzeichnis

MAMV

Letzte Änderung: Mi 28.09.2022 19:09