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.
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.
n.a.
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.
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:
Within the Other Exam category, the following assignments need to be completed:
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%.
This offer is part of the following study plans:
Preparatory Programme Master of Science in Biomedical Engineering: International Students