course-details-portlet

TMA4230

Functional Analysis

Choose study year
Credits 7.5
Level Second degree level
Course start Spring 2025
Duration 1 semester
Language of instruction English
Location Trondheim
Examination arrangement School exam

About

About the course

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».

Course materials

To be announced at the beginning of the term.

Credit reductions

Course code Reduction From
SIF5054 7.5 sp
This course has academic overlap with the course in the table above. If you take overlapping courses, you will receive a credit reduction in the course where you have the lowest grade. If the grades are the same, the reduction will be applied to the course completed most recently.

Subject areas

  • Mathematics
  • Technological subjects

Contact information

Course coordinator

Lecturers

Department with academic responsibility

Department of Mathematical Sciences

Examination

Examination

Examination arrangement: School exam
Grade: Letter grades

Ordinary examination - Spring 2025

School exam
Weighting 100/100 Examination aids Code D Date 2025-05-19 Time 09:00 Duration 4 hours Exam system Inspera Assessment
Place and room for school exam

The specified room can be changed and the final location will be ready no later than 3 days before the exam. You can find your room location on Studentweb.

Sluppenvegen 14
Room SL111 orange sone
31 candidates

Re-sit examination - Summer 2025

School exam
Weighting 100/100 Examination aids Code D Duration 4 hours Exam system Inspera Assessment
Place and room
The specified room can be changed and the final location will be ready no later than 3 days before the exam. You can find your room location on Studentweb.