Understanding the topics from basic linear algebra, as listed below.

Lecture

MatricesSystems of linear equationsVector spacesBasis and dimensionInvertible matricesLinear mappingsDeterminantsEigenvalues and eigenvectorsDiagonalizationInner product spacesEigenvalues of symmetric matrices

Lecture summaries (Published on moodle).Kenneth Hoffman and Ray Kunze. Linear Algebra.Seymour Lipschutz. Schaum's Outline of Linear Algebra. (German version: Lineare Algebra. Theorie und Anwendung.)Link auf weitere Informationenhttps://www.google.com/

At the end of the semester, a written final exam will take place.Then additional dates for the final exam will be offered in September 2024 and during the Winter Semester 2024/2025.

The final exam will consist of theoretical and practical parts. The theoretical part will check the knowledge of definitions and propositions. The practical part wil check the knowledge of standard methods. 

The highest possible exam grade will be 20. The exam grade X will be then converted into the final grade for the course as follows:X < 12  →  5 (failing the course)12 ≤ X < 14  →  414 ≤ X < 16  →  316 ≤ X < 18  →  218 ≤ X ≤ 20  →  1