Upon completing the course, students learn the following skills. They are able to
- explain mathematical problems and concepts as well as mathematical proofs (k2);
- independently develop mathematical solutions and proofs of mathematical problems in the field of linear algebra (k3);
- apply concepts and problem-solving strategies to new and unfamiliar questions, selecting and using appropriate mathematical methods (k3/k4);
- present their solutions to the group and discuss different approaches (k3/k4).
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During the course, students acquire knowledge in the following areas of linear algebra:
- vector spaces;
- linear mappings, matrices, determinants and systems of linear equations;
- eigenvalues and eigenvectors;
- normed spaces;
- sesquilinear forms, scalar product spaces;
- Fourier decomposition and transformation;
- multilinear mappings.
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