- Know different coordinate systems and use them to describe geometric objects,
- know the properties of geometric transformations and use them to solve geometric problems;
- Know examples of geometric structures and objects;
- re-derive proofs of classical theorems of geometry;
- Know some examples of algorithmic methods in geometry and apply them to small test problems;
|
Cartesian, affine, homogeneous and barycentric coordinate systems; various geometric transformation groups (Euclidean, affine, projective) and their invariants; elementary results of algorithmic geometry and differential geometry.
|
