6 ECTS credits
150 h study time
Offer 1 with catalog number 1015204BNR for all students in the 1st semester
at
a (B) Bachelor - advanced level.
- Semester
- 1st semester
- Enrollment based on exam contract
- Impossible
- Grading method
- Grading (scale from 0 to 20)
- Can retake in second session
- Yes
- Enrollment Requirements
- Students must have followed ‘Probability Theory’, before they can enroll for ‘Measure Theory’.
- Taught in
- Dutch
- Partnership Agreement
- Under agreement for exchange of courses
- Faculty
- Faculty of Science and Bio-engineering Sciences
- Department
- Mathematics
- Educational team
- Uwe Einmahl
(course titular)
- Activities and contact hours
- 26 contact hours Lecture
13 contact hours Seminar, Exercises or Practicals
- Course Content
1. Measure spaces
2. General theory of integration
3. Product measures
4. Independence
5. Convergence
6. Signed measures and conditional expectations
- Course material
- Digital course material (Required) : Maattheorie, Syllabus, Einmahl
Handbook (Recommended) : Measure Theory, Cohn, BIB
Handbook (Recommended) : Probability and Measure, Billingsley, BIB
- Additional info
- syllabus (in Dutch)
References:
Billingsley: Probability and Measure
Cohn: Measure theory
- Learning Outcomes
-
General competencies
The student learns the basic concepts of measure theory.
The student can solve exercises.
- Grading
-
The final grade is composed based on the following categories:
Other Exam determines 100% of the final mark.
Within the Other Exam category, the following assignments need to be completed:
- Examen
with a relative weight of 100
which comprises 100% of the final mark.
- Additional info regarding evaluation
exam exercises: 50%
exam theory: 50%
- Allowed unsatisfactory mark
- The supplementary Teaching and Examination Regulations of your faculty stipulate whether an allowed unsatisfactory mark for this programme unit is permitted.
Academic context
This offer is part of the following study plans:
Bachelor of Mathematics and Data Science: Standaard traject (only offered in Dutch)