MAT4340 – Elementary functional analysis
Schedule, syllabus and examination date
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 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.
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.
*The information about overlaps is not complete. Contact the Department for more information if necessary.
4 hours of lectures/exercises per week.
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
No examination support material is allowed.
Language of examination
Subjects taught in English will only offer the exam paper in English.
You may write your examination paper in Norwegian, Swedish, Danish or English.
Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.
Explanations and appeals
Resit an examination
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.
Withdrawal from an examination
It is possible to take the exam up to 3 times. If you withdraw from the exam after the deadline or during the exam, this will be counted as an examination attempt.
Special examination arrangements
Application form, deadline and requirements for special examination arrangements.
The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.