MS-E1280 - Measure and Integral D, Lecture, 1.11.2021-10.12.2021

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Please note! Course description is confirmed for two academic years, 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: 01.11.2021 - 10.12.2021

Teacher in charge (valid for whole curriculum period):

Teacher in charge (applies in this implementation): Juha Kinnunen

Contact information for the course (applies in this implementation):

CEFR level (valid for whole curriculum period):

Language of instruction and studies (applies in this implementation):

Teaching language: English. Languages of study attainment: English

CONTENT, ASSESSMENT AND WORKLOAD

Content

  • valid for whole curriculum period:

    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 for whole curriculum period:

    Teaching methods: lectures and tutorials.

    Assessment methods: homework assignments and attendance (100%)

     

Workload

  • valid for whole curriculum period:

    Contact hours 36 h

    Self-study ca 100h

DETAILS

Study Material

  • valid for whole curriculum period:

    The lecture notes are available at the course homepage.

     

Substitutes for Courses
Prerequisites

FURTHER INFORMATION

Further Information

  • valid for whole curriculum period:

    Teaching Period:

    2020-2021 Autumn II

    2021-2022 Autumn II

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

    Registration for Courses: In the academic year 2021-2022, registration for courses will take place on Sisu (sisu.aalto.fi) instead of WebOodi.

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