Introduction to linear algebra (vector spaces, linear transformations, matrices), inner product, determinants, matrix decompositions (LU, QR, eigenvalue and singular value decomposition).
Objective
- Understand and apply fundamental concepts of linear algebra - Learn about applications of linear algebra
Content
Linear Algebra: Linear systems of equations, vectors and matrices, norms and scalar products, LU decomposition, vector spaces and linear transformations, least squares problems, QR decomposition, determinants, eigenvalues and eigenvectors, singular value decomposition, applications.
Lecture notes
See course website
Literature
Recommendations on the course website
Prerequisites / Notice
The relevant high school material is reviewed briefly at the beginning.
Competencies
Subject-specific Competencies
Concepts and Theories
assessed
Techniques and Technologies
assessed
Method-specific Competencies
Analytical Competencies
assessed
Decision-making
fostered
Media and Digital Technologies
fostered
Problem-solving
assessed
Project Management
fostered
Social Competencies
Communication
fostered
Cooperation and Teamwork
fostered
Customer Orientation
fostered
Leadership and Responsibility
fostered
Self-presentation and Social Influence
fostered
Sensitivity to Diversity
fostered
Negotiation
fostered
Personal Competencies
Adaptability and Flexibility
fostered
Creative Thinking
assessed
Critical Thinking
fostered
Integrity and Work Ethics
fostered
Self-awareness and Self-reflection
fostered
Self-direction and Self-management
fostered
Performance assessment
Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
In examination block for
Bachelor's Degree Programme in Computer Science 2016; Version 07.04.2022 (First Year Examination Block 1)
The performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examination
written 180 minutes
Additional information on mode of examination
Während des Semesters können durch aktive Mitarbeit Bonuspunkte erarbeitet werden. Die Veranstaltung bietet als "Leistungselement" (im Sinne der WEISUNG: Anwendung von Leistungselementen in der Lehre vom 22.12.2017) Lernelemente an. Die Lernelemente sind Bonusaufgaben und klar markierter Teil der wöchentlichen Aufgabensammlung. Die 10 besten Wochen werden gewertet. Die erworbenen Punkte verbessern das Ergebnis der schriftlichen Prüfung um maximal 0.25 Notenpunkte.
Unehrliches Verhalten bei der Bearbeitung der Lernelemente (z. B. Kopieren der Lösungen von Kommilitonen oder anderen Quellen, Zur-Verfügung-Stellen der eigenen Lösungen zum Kopieren) haben ernste Konsequenzen inklusive der Aberkennung aller Bonuspunkte dieser Veranstaltung.
Written aids
6 A4-Seiten Notizen oder 3 doppelseitige A4 Notizen (mit LaTeX oder Ähnlichem erfasste und gedruckte Notizen sind erlaubt; sie sollten ohne Lupe lesbar sein); ein Wörterbuch (Deutsch-Englisch oder andere Fremdsprache); kein Taschenrechner.
Distance examination
It is not possible to take a distance examination.
If the course unit is part of an examination block, the credits are allocated for the successful completion of the whole block. This information can be updated until the beginning of the semester; information on the examination timetable is binding.
Performance assessment as a semester course