Course content

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.

Learning outcome

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.

Admission

Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for in Studentweb.

If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures.

Prerequisites

Recommended previous knowledge

Knowledge corresponding to MAT1110 – Calculus and Linear Algebra, MAT1120 – Linear Algebra, MAT2400 – Real Analysis, MAT2410 – Introduction to Complex Analysis should be taken together with MAT3300 – Measure and integration (discontinued)/MAT4300 – Measure and integration (discontinued) if you haven`t taken this course previously.

Overlapping courses

*The information about overlaps is not complete. Contact the Department for more information if necessary.

Teaching

4 hours of lectures/exercises per week.

Examination

Depeding on the number of students, the exam will be either oral or written. What form the exam will take will be announced by the teaching staff within October 15th.

Examination support material

N