MM517: Measure and Integration Theory (5 ECTS)
STADS: 13014401Level
Bachelor course
Teaching period
The course is offered in the autumn semester.
Teacher responsible
Email: dkyed@imada.sdu.dkAdditional teachers
szymanski@imada.sdu.dk barlak@imada.sdu.dkTimetable
| Group | Type | Day | Time | Classroom | Weeks | Comment |
|---|---|---|---|---|---|---|
| Common | I | Tuesday | 08-10 | U140 | 5-7,9-11,13-14 | |
| Common | I | Wednesday | 08-10 | U20 | 5 | |
| Common | I | Friday | 12-14 | U166 | 6 | |
| Common | I | Friday | 12-14 | U20 | 7,9-11,13 | |
| H1 | TE | Thursday | 10-12 | U24 | 6-7 | |
| H1 | TE | Friday | 10-12 | U14 | 5,9-11,13 | |
| H2 | TE | Tuesday | 10-12 | U157 | 10 | |
| H2 | TE | Wednesday | 14-16 | U157 | 11 | |
| H2 | TE | Thursday | 14-16 | U157 | 5,7,9 | |
| H2 | TE | Thursday | 08-10 | U145 | 6 | |
| H2 | TE | Thursday | 14-16 | U156 | 13 |
Show personal time table for this course.
Comment:
Ubegrænset deltagerantal. Fælles undervisning med MM543.
Prerequisites:
None
Academic preconditions:
The content of MM533 Mathematical and Numerical Analysis and MM505 Linear algebra or MM538 Algebra and linear algebra is assumed to be known.
Course introduction
The aim of the course is to give a solid presentation of Measure and Integration Theory and thereby give an introduction to modern Functional Analysis. The course will also give the mathematical foundation for modern Probability Theory.
Expected learning outcome
By the end of the course the student will be able to:
- use the basic concepts of the theory, in particular sigma-algebras, measurability and integration
- use the methods from the theory to solve concrete problems in Analysis, in particular concerning applications of the convergence theorems for integrals and Fubini's Theorem
- give an oral presentation of the statements and proofs related to any subject on a previous given list of topics within the course syllabus
formulate the oral presentation a mathematically correct way
Sigma-algebras and measures, measurable mappings, integration with respect to measures, the Lebesgue measure on the real line and on Rk, product measures, Lp-spaces.
Literature
- Meddeles ved kursets start.
Website
This course uses e-learn (blackboard).
Prerequisites for participating in the exam
None
Assessment and marking:
Mandatory assignments. Pass/fail, internal assessment by teacher (5 ECTS).
Reexamination in the same exam period or immediately thereafter.
Expected working hours
The teaching method is based on three phase model.
Intro phase: 28 hours
Skills training phase: 14 hours
Educational activities
Study phase: 10 hours
This course is taught and evaluated together with MM543.
Language
This course is taught in Danish or English, depending on the lecturer. However, if international students participate, the teaching language will always be English.
Remarks
E-Learn is used in this course.
Course enrollment
See deadline of enrolment.
Tuition fees for single courses
See fees for single courses.
