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| Detailed information |
| Original study plan |
Post graduate programme University course to prepare for the supplementary examinations 2026W |
| Learning Outcomes |
Competences |
| Students learn how to apply linear algebra to solve geometric problems and get familiar with mathematical notation, abstraction and logic.
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| Skills |
Knowledge |
Students learn the following skills:
- Solving linear equations using Gaussian elimination (k3).
- Solving problems involving planes, lines and their rotations and reflections (k2, k3).
- Computing determinants, inverses, eigenvalues and eigenvectors of matrices (k3).
- Determining whether a set of vectors is linear independent (k3).
- Analysis and construction of linear maps between vector spaces and in particular rotations and reflections (k3).
- Familiarity with the notion of abstraction (for example the definition of a vector space in terms of axioms) (k1, k3).
- Using mathematical notation for solving problems involving parameters instead of solving just one concrete example (k2, k3).
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Students learn the following concepts from linear algebra:
- Vectors algebra including orthogonal projection of vectors and the cross product.
- Parametric and implicit representation of lines and planes in 3-dimensional space.
- Matrix operations including matrix inverse and determinant.
- Vector spaces and their bases.
- Linear maps and their representation in terms of matrices.
- Eigenvectors and eigenvalues.
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| Criteria for evaluation |
Course exam, based on a written and/or oral exam, homework assignments, and/or active participation in the course, as determined by the course instructor at the beginning of the semester
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| Methods |
Lecture, interactive teaching elements, homework
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| Language |
(*)Deutsch und Englisch |
| Study material |
The relevant course literature will be announced at the beginning of the course
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| Changing subject? |
No |
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