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MAT-53556 ADVANCED FUNCTIONAL ANALYSIS, 7 cr
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Courses persons responsible
Sirkka-Liisa Eriksson
Lecturers
Sirkka-Liisa Eriksson
Implementations
| Period 1 | Period 2 | Period 3 | Period 4 | Period 5 | Summer | |
| Lecture | - | - | 4 h/week | 4 h/week | - | - |
| Exercise | - | - | 3 h/week | 3 h/week | - | - |
| Exam | ||||||
Objectives
To extend and deepen the knowledge of functional analysis and its applications.
Content
| Content | Core content | Complementary knowledge | Specialist knowledge |
| 1. | Topological spaces |   | |
| 2. | Revision of Banach and Hilbert spaces |   | |
| 3. | Daniell approach to integration theory |   | |
| 4. | distribution theory, Sobolev spaces, applications to variational calculus and partial differential equations. |   |
Requirements for completing the course
Written examination
Evaluation criteria for the course
Study material
| Type | Name | Auhor | ISBN | URL | Edition, availability... | Exam material | Language |
| Book | Functional Analysis | Bachman G. and Narici L. | No | English |
Prerequisites
Prequisite relations (Sign up to TUT Intranet required)
Remarks
Scaling
| Methods of instruction | Hours |
| Lectures | 84 |
| Exercises | 90 |
| Other scaled | Hours |
| Exam/midterm exam | 6 |
| Total sum | 180 |
Correspondence of content
MAT-53550 Advanced Functional Analysis
| Last modified | 14.02.2007 |
| Modified by | Robert Piche |