3 ECTS credits
90 h study time

Offer 1 with catalog number 1009383BNR for all students in the 1st and 2nd semester at a (B) Bachelor - advanced level.

Semester
1st and 2nd 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 for "Analyse: afleiden, integreren, wiskundige software" and "Lineaire algebra: stelsels, matrices en afbeeldingen". Students in the bachelor Engineering sciences, minor electronics and information technology also must have passed or be enrolled for the technologyproject "Informatie en Communicatietechnologie" and for 1 of the 3 other technology projects.
Taught in
Dutch
Faculty
Faculteit Ingenieurswetenschappen
Department
Mathematics-TW
Educational team
Ingrid Daubechies
Andreas Debrouwere (course titular)
Activities and contact hours
24 contact hours Lecture
18 contact hours Seminar, Exercises or Practicals
Course Content

first integrals; linear partial differential equations of first order; Cauchy's problem; quasi-linear partial differential equations of second order; elliptic, hyperbolic and parabolic equations; infinite dimensional Euclidean spaces; orthonormal bases; Fourier series; orthogonal polynomials; Sturm-Liouville problems; solving partial differential equations by separating the variables.

Course material
Course text (Required) : Aanvullingen van de wiskunde, A. Debrouwere, S. Caenepeel, VUB, 2220170010137, 2023
Course text (Required) : Aanvullingen van de wiskunde, Oefeningen, A. Debrouwere, S. Caenepeel, J. De Beule, VUB, 2220170010120, 2023
Additional info

Does not apply

Learning Outcomes

General competencies

An introduction to some more advanced mathematical techniques that are frequently used in physics and engineering sciences. During the lectures, the  fundamental theoretical aspects are discussed, while during the problem sessions the computational tecniques are practiced.  We have the following specific learning outcomes

1. The student is able to formulate the basic concepts (definitions and theorems) from the course in his own words.

2. The student is able to reason about the basic concepts. More specifically, the student is able to construct (counter)examples and to answer insight questions about the basic concepts.

3. The student can formulate the proofs of the theorems in his own words.

4. The student has insight into the proofs of the theorems. More specifically, the student is able to explain steps in the proofs and answer insight questions about the proofs.

5. The student masters the learned computational techniques and can apply them to solve exercises.

6. The student is able to solve simple problems from physics and engineering sciences using the learned computational  techniques.

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 1 which comprises 100% of the final mark.

Additional info regarding evaluation

First session: written exam about both the theory and exercises.
Second session: written exam about both the theory and exercises.

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 Business Economics: Minor Minor Education (only offered in Dutch)
Bachelor of Engineering: Electronics and Information Technology (only offered in Dutch)
Bachelor of Engineering: verkort traject elektronica en informatietechnologie na vooropleiding industriële wetenschappen (only offered in Dutch)
Bachelor of Physics and Astronomy: Default track (only offered in Dutch)
Bachelor of Political Science and Sociology: - afstudeerrichting sociologie, minor onderwijs (only offered in Dutch)