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The course gives an introduction to functional analysis, which is a branch of analysis in which one develops analysis in infinite dimensional vector spaces. The central concepts which are studied, are normed spaces with emphasis on Banach and Hilbert spaces, and continuous linear maps (often called operators) between such spaces. Spectral theory for compact operators is studied in detail, and applications are given to integral and differential equations.
The course will be useful for all students who are aiming at writing a master thesis in mathematics (or applied mathematics) with spesialization in analysis.
Students who are admitted to study programmes or individual courses at UiO must each semester register which courses and exams they wish to sign up for by registering a study plan in StudentWeb.
International applicants, if you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures for international applicants.
None.
Knowledge corresponding to MAT1110 - Calculus and linear algebra, MAT1120 - Linear algebra, MAT1300 - Analysis I, MAT2300 - Analysis II should be taken together with MAT3300 - Measure and integration / MAT4300 - Measure and integration if you haven`t taken this course previously.
*The information about overlaps is not complete. Contact the Department for more information if necessary.
4 hours of lectures/exercises per week.
Oral exam. Letter grading (A-F).
Students who due to illness or other valid reason of absence were unable to sit for their final exams may apply for participation in deferred examinations. Deferred examinations are arranged either later in the same semester or early in the semester following the exam in question. Documentation of valid reasons for absence from the regular exam must be submitted upon application to participate in deferred examinations.
Students who have failed an exam, who withdraw during an exam, and students who wish to retake an exam to achieve a better grade may not participate in deferred exams, but may retake the exam when it is regularly scheduled.
Information about deferred and new examination (also called repeat examination) is found here
Visiting address:
Niels Henrik Abel's building, Moltke Moes vei
Postal address:
P.O.box 1053, Blindern
NO-0316 Oslo
Visiting hours:
Monday-friday 09:00-14:30
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