3 ECTS credits
75 h study time

Offer 1 with catalog number 3023314ANR for all students in the 1st semester at a (A) Bachelor - preliminary level.

Semester
1st semester
Enrollment based on exam contract
Impossible
Grading method
Grading (scale from 0 to 20)
Can retake in second session
Yes
Taught in
English
Faculty
Faculteit Ingenieurswetenschappen
Department
Mathematics-TW
Educational team
Jan De Beule (course titular)
Activities and contact hours
13 contact hours Lecture
36 contact hours Independent or External Form of Study
Course Content

This course is aimed at students that attend a compulsory preparatory traject for a number of dedicated specialized masters in engineering sciences who lack mathematical knowlegde. This course is the second of two parts, and in this part, more advanced topics and applications are treated.

Contents

1. Eigenvalues and eigenvectors, including diagonalization, the theorem of Cayley-Hamilton and applications

2. Pre-Hilbert spaces, including unitary linear maps, diagonalization, Banach spaces and Hilbert spaces

3. Applications

This table of contents is to be interpreted as a general framework that covers important parts of the theory. This course is not aimed to build up the complete theoretical framework of linear algebra, but to provide an overview where the topics to be treated to prepare the students for the remaining courses of their master program, can be fit into.

Additional info

n.a.

Learning Outcomes

General Learning Outcomes

The student is acquires knowledge and understanding on elementary and more advanced techniques and results in the field of mathemtaical analysis that are very relevant for engineering sciences. The students knows how to apply the techniques to solve problems. Although the course focuses on problem solving and applying techniques and not on the theoretical framework, the student acquires sufficient understanding of the underlying mathematics to understand under which conditions the applied techniques may lead to a solution of the problem.

Grading

The final grade is composed based on the following categories:
Written Exam determines 70% of the final mark.
Other Exam determines 30% of the final mark.

Within the Written Exam category, the following assignments need to be completed:

  • Written exam with a relative weight of 1 which comprises 70% of the final mark.

    Note: One written exam with focus on problem solving and application of the acquired knowledge and techniques on mathematical exercises that are relevant for the remaining program of the students (70 %)

Within the Other Exam category, the following assignments need to be completed:

  • Perm. eval. with a relative weight of 1 which comprises 30% of the final mark.

    Note: Permanent evaluation using project work 30%

Additional info regarding evaluation

One written exam with focus on problem solving and application of the acquired knowledge and techniques on mathematical exercises that are relevant for the remaining program of the students (70 %) +  permanent evaluation using project work 30%.

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:
Preparatory Programme Master of Science in Biomedical Engineering: International Students