TMA4230 - Functional Analysis

About

Examination arrangement

Examination arrangement: Oral examination
Grade: Letters

Evaluation form Weighting Duration Examination aids Grade deviation
Oral examination 100/100 D

Course content

This course provides students with results and methods that are applicable to other areas of mathematics, and are the foundations for more advanced topics in functional analysis.

The Hahn-Banach theorem, the open mapping and closed graph theorems, the Banach-Steinhaus theorem, dual spaces, weak convergence, the Banach-Alaoglu theorem, and the spectral theorem for compact operators.

Learning outcome

1. Knowledge. The student has knowledge of central concepts from functional analysis, including the Hahn-Banach theorem, the open mapping and closed graph theorems, the Banach-Steinhaus theorem, dual spaces, weak convergence, the Banach-Alaoglu theorem, and the spectral theorem for compact self-adjoint operators.

2. Skills. The student is able to apply his or her knowledge of functional analysis to solve mathematical problems.

Learning methods and activities

Lectures, exercises and an oral final examination. The lectures will be given in English if the course is attended by students who don't master a Scandinavian language.

Further on evaluation

see «Teaching methods and activities».

Course materials

To be announced at the beginning of the term.

Credit reductions

Course code Reduction From To
SIF5054 7.5

Examination

Examination arrangement: Oral examination

Term Statuskode Evaluation form Weighting Examination aids Date Time Room *
Spring ORD Oral examination 100/100 D
  • * The location (room) for a written examination is published 3 days before examination date.
If more than one room is listed, you will find your room at Studentweb.