Please note! Course description is confirmed for two academic years (1.8.2018-31.7.2020), which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.
LEARNING OUTCOMES
After this course you will know basic methods in measure and integration theory.
Credits: 5
Schedule: 26.10.2020 - 04.12.2020
Teacher in charge (valid 01.08.2020-31.07.2022): Juha Kinnunen
Teacher in charge (applies in this implementation):
Contact information for the course (applies in this implementation):
CEFR level (applies in this implementation):
Language of instruction and studies (valid 01.08.2020-31.07.2022):
Teaching language: English
Languages of study attainment: English
CONTENT, ASSESSMENT AND WORKLOAD
Content
Valid 01.08.2020-31.07.2022:
Outer measure (properties of measurable sets, characterizations of measurable sets, Lebesgue outer measure), measurable functions (properties of measurable functions, approximation by simple functions, Egoroff and Lusin theorems), integration (construction and properties of integral, Lebesgue integral, convergence theorems), Fubini's theorem.
Assessment Methods and Criteria
Valid 01.08.2020-31.07.2022:
Teaching methods: lectures and tutorials.
Assessment methods: homework assignments and attendance (100%)
Workload
Valid 01.08.2020-31.07.2022:
Contact hours 36 h
Self-study ca 100h
DETAILS
Study Material
Valid 01.08.2020-31.07.2022:
The lecture notes are available at the course homepage.
Prerequisites
Valid 01.08.2020-31.07.2022:
MS-A00XX, MS-A01XX, MS-A02XX, MS-A03XX, MS-A050X, MS-C1540.
FURTHER INFORMATION
- Teacher: Korte Riikka
- Teacher: Weigt Julian