spring 2019 TEK-8505 Functional Analysis - 5 ECTS
Application deadline
1. september
The course will only be available if there are students at the IVT-faculty who have the course in their PhD-plans for that particular term, and there are resources available for lecturing the course.
This course is organized as an intensive course with concentrated teaching.
Type of course
The subject can be taken as a singular course.
- The PhD course is primarily open to UiT's PhD students (Category 1).
One or more of these categories of course students may also
be admitted:
- Category 2: Participants in the Associate Professor programme that fulfil the educational requirements.
- Category 3: Doctoral students from other universities.
- Category 4: People with a minimum of a master's degree (or equivalent), who have not been admitted to a doctoral programme.
Admission requirements
Prerequisites: General admission requirements for the PhD program and the course TEK-8002 Principles of Mathematical Analysis.The course will only be available if there are students at the IVT-faculty who have the course in their PhD-plans for that particular term, and there are resources available for lecturing the course.
Course content
The students shall learn some of the central concepts of functional analysis and methods, and be able to apply these.The Hahn-Banach theorem, open mapping and closed graph theorems, the Banach-Steinhaus theorem, dual spaces, weak convergence, the Banach-Alaoglu theorem, and the spectral theorem for bounded self-adjoint operators, applications to PDE and numerical methods
Objectives of the course
Knowledge:
After passing the course, the student is expected to be able to
- Demonstrate understanding of the central concepts of functional analysis.
- Show knowledge of where the forefront of knowledge within the field is.
Skills:
After passing the course, the student is expected to be able to
- Carry out research of high international standard connected application of functional analysis.
- Handle complex academic issues and challenge established knowledge and practice connected to application of functional analysis.
Habits of mind:
After passing the course, the student is expected to be able to
- Formulate mathematics in a way that enable communication of research and development in applied functional analysis on high level.
- Give oral presentation and participate in debates concerning functional analysis in international forums.
Error rendering component
- About the course
- Campus: Narvik |
- ECTS: 5
- Course code: TEK-8505
- Responsible unit
- Institutt for datateknologi og beregningsorienterte ingeniørfag