Universität Wien
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250027 VO Analysis 2 (2024S)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik
Moodle

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Details

Language: German

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Monday 04.03. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 05.03. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 11.03. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 18.03. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 19.03. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 08.04. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 09.04. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 15.04. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 16.04. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 22.04. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 23.04. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 29.04. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 30.04. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 06.05. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 07.05. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 13.05. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 14.05. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 21.05. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 27.05. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 28.05. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 03.06. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 04.06. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 10.06. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 11.06. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 17.06. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 18.06. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 24.06. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 25.06. 09:45 - 11:15 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß

Information

Aims, contents and method of the course

The course is a continuation of Analysis 1. A rough plan for the course is as follows:

- Normed vector spaces and their topology, especially in the finite-dimensional case (all norms are equivalent). Continuity, completeness, Banach fixed point theorem.
- Sequences and series of functions (pointwise and uniform convergence), completeness of the topology of uniform convergence. Differentiation of a limit of functions.
- Power series, Weierstrass' M-test.
- Differentiability of functions of several variables (partial derivatives and differentiability, Taylor's theorem in several variables), local extrema with and without constraints, implicit functions theorem, inverse functions theorem,
- Ordinary differential equations (initial value problems, Picard-Lindelöf theorem, Picard iteration).

Assessment and permitted materials

Written exam; no allowed material.

Minimum requirements and assessment criteria

Passing grade at written exam.

Examination topics

Knowledge of the definitions and statements of main theorems.
Ability to solve exercises using these notions.

Reading list

Stefan Abbott, Understanding Analysis.
Book of Adrian Constantin.
Forster and Lindemann, Analysis 1&2.

Association in the course directory

AN2

Last modified: Fr 18.10.2024 13:26