Algebra and analytical geometry

1. Complex numbers.
2. Polynomials and algebraic equations.
3. Linear spaces and matrices – part 1.: rank of matrix, systems of linear algebraic equations.
4. Determinants.
5. Matrix algebra.
6. Linear spaces and matrices – part 1.: linear mapping, fundaments of spectral theory.
7. Linear, bilinear and quadratic forms.
8.-9. Spaces with scalar product.
10. Vector algebra.
11. Analytical geometry of linear objects.
12. Classification of conics.
13 . Quadric surfaces.