Matrices and vectors (operations with matrices, determinants, inverse of a matrix; linear systems of equations, Cramer’s method, Gauss’ method; vectors in plane and space, inner product, vector product and mixed product; lines and planes in three dimensional space).
Linear transformations (representation by a matrix, eigenvalues, eigenvectors).
Tensors (definition, examples, operations with tensors, applications).
Curves and surfaces (curves in plane and in three dimensional space, polar coordinates, parameterisation, surfaces).
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