Advanced Real Analysis I

An advanced course in real analysis, with applications in Fourieranalysis, ergodic theory, probability theory, Sobolev spaces and partial differential equations.

The course covers measure theory, integration and functional analysis, integration of measurable functions (Lebesgue integrals), convergence theorems, product measures, Fubini's theorem, Banach spaces including the LP spaces and fundamental theorems on linear operators and functionals.

This course is given jointly by Stockholm University and KTH, and part of the course is given at KTH. The exam is given at KTH. More information can be found on the course web before the start of the semester, see link below.

The course consists of one element.


Teaching Format

Instruction is given in the form of lectures and exercises.


Assessment

The course is assessed through written examination and for higher grades (A and B) also oral examination.

For information on how to sign up for exams at KTH, see Exam information.

Examiner

A list of examiners can be found on

Exam information

The schedule will be available no later than one month before the start of the course. We do not recommend print-outs as changes can occur. At the start of the course, your department will advise where you can find your schedule during the course.

Usually, the course is taught entirely in KTH's premises, and you can find the schedule via the link for SF2743 below. If any part of the course is scheduled at SU, it will be shown in the schedule link for MM7046 below.

Schedule for SF2743 at KTH

Note that the course literature can be changed up to two months before the start of the course.

Friedman: Foundations of modern analysis. Dover.

List of course literature Department of Mathematics

Course reports are displayed for the three most recent course instances.


New student
During your studies

Course web

We do not use Athena, you can find our course webpages on kurser.math.su.se.

There may be another course web for the part of the course given at KTH. If so, this should be linked from the course web at Stockholm University found via the link above.