Course Material

Course Structure

(15 lectures : 6+9)

Lecture 1 : Transformations (on the Euclidean plane)

Lecture 2 : Transformation groups

Lecture 3 : Translations

Lecture 4 : Halfturns

Lecture 5 : Reflections

Lecture 6 : Reflections and rotations

Lecture 7 : Products of reflections

Lecture 8 : The product of two reflections, I

Lecture 9 : The product of two reflections, II

Lecture 10 : Fixed points and involutions

Lecture 11 : Even and odd isometries

Lecture 12 : Some "technical" results

Lecture 13 : Commuting isometries

Lecture 14 : Classification of isometries

Lecture 15 : Equations for isometries