1. Affine spaces, affine coordinates.
2. Subspaces of the affine space, analytical formulation of the subspaces.
3. Mutual position of the subspaces.
4. Collinearity, linear systems of hyperplanes.
5. Affine transformations, affine transformation of the affine space.
6. Classification of the affine transformations.
7. Classification of the affine transformations for the line and the plane.
8. Vector spaces with scalar multiplication, Euclidean space.
9. Cartesian coordinates, orthogonality.
10. Distances, perturbations.
11. Isometries.
12. Classification of isometries in spaces of dimension 1 and 2.
13. Similarities.
14. Reserve.
2. Subspaces of the affine space, analytical formulation of the subspaces.
3. Mutual position of the subspaces.
4. Collinearity, linear systems of hyperplanes.
5. Affine transformations, affine transformation of the affine space.
6. Classification of the affine transformations.
7. Classification of the affine transformations for the line and the plane.
8. Vector spaces with scalar multiplication, Euclidean space.
9. Cartesian coordinates, orthogonality.
10. Distances, perturbations.
11. Isometries.
12. Classification of isometries in spaces of dimension 1 and 2.
13. Similarities.
14. Reserve.