Credits: 5

Schedule: 28.10.2019 - 05.12.2019

Teaching Period (valid 01.08.2018-31.07.2020): 

II Autumn (2018-2019, 2019-2020)

 

Learning Outcomes (valid 01.08.2018-31.07.2020): 

After this course you will know basic methods in measure and integration theory. 

 

Content (valid 01.08.2018-31.07.2020): 

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 01.08.2018-31.07.2020): 

Teaching methods: lectures and exercises

Assessment methods: homework assignments and attendance (100%)

 

Workload (valid 01.08.2018-31.07.2020): 

Contact hours 36 h

Self-study ca 100h

Study Material (valid 01.08.2018-31.07.2020): 

All material is available at the course homepage.

 

Substitutes for Courses (valid 01.08.2018-31.07.2020): 

MS-C1280.

 

Course Homepage (valid 01.08.2018-31.07.2020): 

https://mycourses.aalto.fi/course/search.php?search=MS-E1280

Prerequisites (valid 01.08.2018-31.07.2020): 

MS-A00XX, MS-A01XX, MS-A02XX, MS-A03XX, MS-A050X, MS-C1540.

 

Grading Scale (valid 01.08.2018-31.07.2020): 

0-5

 

Description

Registration and further information