Course - Functional Analysis - TMA4230
TMA4230 - Functional Analysis
About
Examination arrangement
Examination arrangement: School exam
Grade: Letter grades
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| School exam | 100/100 | 4 hours | 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 a written final examination.
Further on evaluation
The retake exam may be given as an oral exam. The retake exam will be in August.
See «Teaching methods and activities».
Recommended previous knowledge
TMA4145 Linear Methods and TMA4225 Foundation of Analysis.
Course materials
To be announced at the beginning of the term.
Credit reductions
| Course code | Reduction | From | To |
|---|---|---|---|
| SIF5054 | 7.5 |
Version: 1
Credits:
7.5 SP
Study level: Second degree level
Term no.: 1
Teaching semester: SPRING 2025
Language of instruction: English
Location: Trondheim
- Mathematics
- Technological subjects
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: School exam
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Spring ORD School exam 100/100 D INSPERA
-
Room Building Number of candidates - Summer UTS School exam 100/100 D INSPERA
-
Room Building Number of candidates
- * 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.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"