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Course syllabus SF2743 (Spring 2022–)Integration and measure theory: Basic measure theory, integration of measurable functions (Lebesgue integrals), convergence theorems, product measures, Fubini's theorem.
Functional Analysis: Introduction to functional analysis, metric spaces, Banach and Hilbert spaces, basic theorems about linear operators and functionals.
Applications which can be chosen among: topics from Fourier analysis, ergodic theory, probability theory, Sobolev spaces, differential equations.
After the course the student should be able to
English B / English 6
Completed course SF1677 Foundations of Analysis.
If the course is discontinued, students may request to be examined during the following two academic years.
Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.
The examiner may apply another examination format when re-examining individual students.
The examination consists of a final exam and possible continuous examination in the form of written assignments or an oral exam.
The examiner decides, in consultation with KTHs Coordinator of students with disabilities (Funka), about any customized examination for students with documented, lasting disability. The examiner may allow another form of examination for re-examination of individual students.
