3 ECTS credits
90 h study time
Offer 1 with catalog number 1015197BNR 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 who want to enroll for this course, must have passed or be enrolled for "Analyse en Topologie in metrische ruimten".
- Taught in
- Dutch
- Faculty
- Faculty of Sciences and Bioengineering Sciences
- Department
- Mathematics
- Educational team
- Mark Sioen
(course titular)
- Activities and contact hours
-
13 contact hours Lecture
13 contact hours Seminar, Exercises or Practicals
- Course Content
1. Vector and scalar valued differential equations
2. Existence and uniqueness of solutions
3. Linear scalar and vector valued equations
4. Dependance on initial conditions
5. Maximal domain on which a solution exists
6. Autonomous systems
7. Introduction to Hilbert space methods
- Course material
- Course text (Required) : Gewone differentiaalvergelijkingen, Nota's worden ter beschikking gesteld
Practical course material (Recommended) : Gewone differentiaalvergelijkingen, Aanvullende referentiewerken worden vermeld.
- Additional info
- Notes will be provided. Supplementary references will be given throughout the course.
- Learning Outcomes
-
General competencies
To gain insight in solution methodes (covered in earlier courses) for certain types of scalar or vector valued differential equations and sensitivity of these solutions for variations in initial conditions. Intoduction to Hilbert space methods.
To be able to state and prove definitions and theorems from the course notes correctly. To comment on those writings orally. To be able to make links independantly and to answer
questions requiring insight/open questions.
To be able to solve exercises similar to those treated during the tutorials and write up the answers in a correct and clear way.
- Grading
-
The final grade is composed based on the following categories:
Oral Exam determines 50% of the final mark.
Written Exam determines 50% of the final mark.
Within the Oral Exam category, the following assignments need to be completed:
- Oral theory
with a relative weight of 1
which comprises 50% of the final mark.
Within the Written Exam category, the following assignments need to be completed:
- Written exercises
with a relative weight of 1
which comprises 50% of the final mark.
- Additional info regarding evaluation
Oral exam theory (open questions) (50%) and written exam exercises (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 Physics and Astronomy: Default track (only offered in Dutch)
Bachelor of Mathematics and Data Science: Standaard traject (only offered in Dutch)