Universität Wien
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250076 VO Approximation Theory (2025S)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik

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

Language: English

Lecturers

Classes (iCal) - next class is marked with N

  • Wednesday 05.03. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 19.03. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 26.03. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 02.04. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 09.04. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 30.04. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 07.05. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 14.05. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 21.05. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 28.05. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 04.06. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 11.06. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 18.06. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 25.06. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

This course provides an introduction to classical approximation theory, which explores the representation of complex mathematical objects—typically functions—using simpler, more manageable structures.
At its core, approximation theory studies how well functions in a given normed space can be approximated by building blocks from finite-dimensional subspaces. A classical example (which will serve as starting point) is the space of continuous functions on the unit interval , where (trigonometric) polynomials serve as the building blocks.
The course will give an overview of classical approximation theory with an attempt to lead up to contemporary issues. Through this course, students will develop an understanding of key approximation techniques, error analysis, and fundamental theorems that underpin the subject. The material is related to fields such as numerical analysis, functional analysis, and computational mathematics.

Assessment and permitted materials

Oral exam. If the number of participants is high a written exam has to be considered.

Minimum requirements and assessment criteria

Understanding of the topics. Ability to present the main results orally. Satisfactory answer to questions of the oral exam.

Examination topics

Topics covered during the course

Reading list

Tomas Sauer, Constructive Approximation (Moodle)

Association in the course directory

MANV

Last modified: Mo 24.02.2025 11:48