Schedule, syllabus and examination date

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Course content

The course gives an introduction to more advanced topics in functional analysis and measure theory. Among the topics covered are: more Banach space theory (including the Banach-Steinhaus theorem, the open mapping theorem, the closed graph theorem and the Hahn-Banach theorem); more measure and integration theory (including product measures, Tonelli's and Fubini's theorems, signed measures, complex measures, Hahn's, Jordan's and Radon-Nikodym's theorems, conditional expectations, L^p /L^q-duality and Riesz' representation theorem, modes of convergence for measurable functions).

Learning outcome

The course presents fundamental results of functional analysis and measure theory, and is the basis for further work in partial differential equations, stochastic analysis, and operator algebras. The students will learn to work with abstract measure spaces and with linear operators between infinite dimensional spaces.

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.

Overlapping courses

* For information about the potential partial overlap with other courses, contact the Department.

Teaching

4 hours of lectures/exercises per week throughout the semester.

Examination

One compulsory assignment needs to be passed within given deadlines to be allowed to take the final exam. Final mark based on written examination at the end of the semester.

Rules for compulsory assignments at the Department of Mathematics.

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.

Grading scale

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 can document a valid reason for absence from the regular examination are offered a postponed examination at the beginning of the next semester.

Re-scheduled examinations are not offered to students who withdraw during, or did not pass the original examination.

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.

Evaluation

The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.

Facts about this course

Credits

10

Level

Master

Teaching

Autumn 2017

Autumn 2016

Autumn 2015

Autumn 2014

Autumn 2013

Autumn 2012

Autumn 2011

Fall. Taught according to demand and resources. If you want to attend the course, please send an e-mail to studieinfo@math.uio.no.

Examination

Autumn 2017

Autumn 2016

Autumn 2015

Autumn 2014

Autumn 2013

Autumn 2012

Autumn 2011

According to demand and resources.

Teaching language

English

The course is given in English. If no students have asked for the course in English within the first lecture, it may be given in Norwegian.