Computer science is closely related to mathematics and a thorough knowledge of the mathematical basics is a prerequisite for understanding the technical content in the study of computer science and informatics. The purpose of the course Mathematics 1 is to deepen the knowledge and understanding of mathematical basics:
- Linear algebra: matrix norms, Kronecker product, Schur complement, positive semidefinite matrices, Cholesky decomposition, vector spaces and linear transformations, geometry of linear transformations, affine transformations.
- Analysis: functions and vector functions of multiple variables, Jacobi matrix, multiple integral, local and global extrema, optimisation problems, Karush-Kuhn-Tucker conditions.
