714-0441 – Geometry (G)
Gurantor department | Department of Mathematics and Descriptive Geometry |
Subject guarantor | RNDr. Jana Volná, Ph.D. |
Study level | undergraduate or graduate |
Subject aims expressed by acquired skills and competences
In this course the students can acquaint with properties of affine and euclidean spaces, with affine, isometric and similar tranformations in this spaces.
Teaching methods
Lectures
Individual consultations
Tutorials
Other activities
Summary
Vector spaces. Orientation, spaces with scalar multiplication. Vector multiplication, orthogonal transformations. Affine spaces. Affine coordinates, relations between linear subspaces. Linear systems of hyperplanes.
Affine transformations, classification of affine transformations in spaces of dimension 2 and 3. Euclidean spaces. Cartesian coordinates, Euclidean metrics, orthogonality. Isometric transformations. Classification of isometries in spaces of dimension 1 and 2. Similarities.
Compulsory literature:
Recommended literature:
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.