MM517: Measure and Integration Theory (5 ECTS)
STADS: 13001701Level
Bachelor course
Teaching period
The course is offered in the autumn semester.
1st quarter.
Teacher responsible
Email: mikael@imada.sdu.dkTimetable
| Group | Type | Day | Time | Classroom | Weeks | Comment |
|---|---|---|---|---|---|---|
| Common | I | Wednesday | 14-16 | U44 | 35,37-41 | |
| Common | I | Wednesday | 14-16 | U91 | 36 | |
| Common | I | Thursday | 10-12 | U2 | 35-40 | |
| M1 | TE | Monday | 10-12 | U24 | 36-41 | |
| M1 | TE | Friday | 08-10 | U20 | 35-39, 41 | |
| S1 | TE | Wednesday | 08-10 | U49c | 36-41 | |
| S1 | TE | Friday | 10-12 | U35 | 35 | |
| S1 | TE | Friday | 10-12 | U49C | 36-39, 41 |
Show personal time table for this course.
Comment:
Ubegrænset deltagerantal.
Prerequisites:
None
Academic preconditions:
The content of MM501 Calculus I and MM502 Calculus II, MM505 Linear Algebra, MM508 Topologi I and MM509 Topologi II must 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.
Qualifications
Having completed the course successfully, the students will have a solid understanding of Measure and Integration Theory including concepts, theory and proofs, and they will have the necessary background material for further studies in Functional Analysis and/or Probability Theory.
Expected learning outcome
Subject overview
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:
A 3 hour written exam in two parts: In the first 1 1/2 hour the students are expected to reproduce a proof from the theory without books or notes. In the remaining 1 1/2 hour the students will get exercises, where books and notes can be used.
Eksternal examiner. Marks according to the 7-scale.
Expected working hours
The teaching method is based on three phase model.
(a) Forelæsninger (28 timer).
(b) Eksaminatorier/opgaveregning (21 timer).
Educational activities
Language
No recorded information about the language used in the course.
Course enrollment
See deadline of enrolment.
Tuition fees for single courses
See fees for single courses.
