This course is a gentle (and elementary) introduction to modern geometry in the spirit of Felix KLEIN's Erlangen Program according to which a geometry is the study of the invariants of a group acting on a "space".
Euclidean space, geometric transformations, groups (of transformations), collineations, translations, halfturns, reflections, rotations, isometries, involutions, dilatations, symmetry and groups, the cyclic and dihedral groups, finite symmetry groups, similarities, classification of isometries (and similarities).
Complete set of notes will be provided.
ONE tutorial per week.
TWO class tests and ONE final examination.
Last Modified: Thu, 18 Sep 2014 15:59:33 SAST