Lebesgue measure and Lebesgue integral in Rn. Abstract measure theory and integral. convergence theorems, different types of convergence. The Radon-Nikodym's theorem. Derivation of measures. Product of measures and Fubini's theorem. Lp-spaces.
SF2709 Integration Theory 7.5 credits
This course has been discontinued.
Last planned examination: Spring 2000
Decision to discontinue this course:
No information inserted
Course offerings are missing for current or upcoming semesters.
Headings with content from the Course syllabus SF2709 (Autumn 2007–) are denoted with an asterisk ( )
Content and learning outcomes
Course contents
Intended learning outcomes
To provide an introduction to the Lebesgue integral and abstract measure theory.
Literature and preparations
Specific prerequisites
SF2700 Analysis or corresponding.
Recommended prerequisites
No information inserted
Equipment
No information inserted
Literature
Announced at the start of the course.
Examination and completion
If the course is discontinued, students may request to be examined during the following two academic years.
Grading scale
A, B, C, D, E, FX, F
Examination
- TEN1 - Examination, 7.5 credits, grading scale: A, B, C, D, E, FX, F
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.
Opportunity to complete the requirements via supplementary examination
No information inserted
Opportunity to raise an approved grade via renewed examination
No information inserted
Examiner
Ethical approach
- All members of a group are responsible for the group's work.
- In any assessment, every student shall honestly disclose any help received and sources used.
- In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.
Further information
Course room in Canvas
Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.
Offered by
Main field of study
Mathematics
Education cycle
Second cycle
Add-on studies
No information inserted
Contact
Henrik Shah Gholian (henriksh@kth.se)