| TATM85 | Functional Analysis, 6 ECTS credits. /Funktionalanalys/ |
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Prel. scheduled
hours: 60 |
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Area of Education: Science Subject area: Mathematics |
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| Advancement level
(A-D): D
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| Aim: To give familiarity with the fundamental concepts of functional analysis and to prepare the student for further studies in mathematics and related areas. |
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| Prerequisites: (valid for students admitted to programmes within which the course is offered) TATM18, Linear Algebra, TATM72, Calculus A and TATM73 Calculus B. TATA01, Calculus Honours Course, is a good preparation, but is not a prerequisite. Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding. |
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| Organisation: Seminars. |
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| Course contents: Elementary metric space theory. Normed linear spaces, Banach spaces, Hilbert spaces. Linear functionals, dual spaces. Linear operators. Aspects of the Lebesgue integral. Integral equations. |
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| Course literature: Kreysig, E: Introductory Functional Analysis with Applications. John Wiley & Sons, Inc. 1978. Claesson, T, Hörmander, L: Integrationsteori. Lund University. Collection of problems published by the Institute. |
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| Examination: | |||
| Written examination |
4 p |
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Course language is Swedish. Department offering the course: MAI. Director of Studies: Arne Enqvist Examiner: Thomas Karlsson Link to the course homepage at the department Course Syllabus in Swedish |
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