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01245 Functional Analysis
Danish title: Funktionalanalyse
Language: English Credit points: 7,5
Type: Open University
Language: English

Previous course: C0145
No credit points with: C0145
Prerequisite: 01030/01031/01032/01034/36260
Recommended semester: 4th -7th semester
Scope and form: 2 lecture modules and 1 hour of problem solving per week.
Examination: Approval of compulsory coursework. with oral presentation (Pass/fail) or written exam (13-scale) (xx)
Contact person: Michael Pedersen, Building 303, Tel. +45 4525 3063, email M.Pedersen@mat.dtu.dk

Department: Department of Mathematics
Aim: To provide the student with a knowledge of certain main areas within functional analysis. Functional analysis is a generalization of classical mathematical analysis and is the basis of modern mathematical treatment of problems within technical science, to which differential and integral operators are applied.
Contents: Banach space and Hilbert space. Bounded and unbounded operators on Hilbert space. Differential operators and distributions. Sobolev space and the Fourier transformation. The course ends with some examples of applications within technical science chosen by the students.