Advanced Real Analysis I

About this programme

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 is assessed through written examination and for higher grades (A and B) also oral examination. To see the where the lectures take place you need to be logged in to the KTH account which you will receive if you are admitted to this course. If students don't get their accounts before the course starts, we send out the schedule for the first week(s) by email. 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. To follow your passion. To be close to international career opportunities. To explore city and countryside. In Stockholm you can really get the best of both worlds. Here we explain all the different steps you need to go through when applying to a course or programme. Stockholm University arranges regular webinars and participates in educational fairs and events virtually and around the world to meet students and inform them about our study programmes.