Syllabus
Main topics:
§ Geometry of grid paper and its generalisation into E2 as a context suitable for experimenting and independent discovery of geometrical rules.
§ Linear dependency of vectors, basis, coordinate systems, orthonormal and ortogonal coordinate systems in E2, E3 and E4.
§ Description and investigation of shapes in E2 and E3 in an analytic way.
§ Geometry of space of the fourth dimension as a context suitable for abstraction, some hypersolids, generalisation of shapes from E2 and E3.
Annotation
The subject focuses on analytic geometry in spaces E2, E3 and E4 and the method of generalising knowledge from E2, through E3 to E4.