MATEMATICHE COMPLEMENTARI

MAT/04 - 6 CFU - 2° Semester

Teaching Staff

MARIO PENNISI


Learning Objectives

Understanding of a statement, ability to construct rigorous demonstrations of theorems, ability to express oneself with language properties, to be able to apply the acquired knowledge to proposed problems.


Course Structure

The lessons will be participated and / or cooperative. Practical exercises, laboratory tests, group work, educational experiences in the field are planned



Detailed Course Content

The Erlangen Program. Geometry of the plane according to Klein. The concept of equality. Affinity of the Euclidean plane. Affinity properties. Equality by affinity. Examples of affinity. Classification of affinities. The group of similarities. Properties of similarities. Equality by similarities. Dilatations. The group of isometries. Offsets. Rotations. Orthogonal symmetries. Other types of similarities. Search for joined points in a simile. Classification of similarities. Similar products. Sets of generators. Notable subgroups of the group of similarities. Applications of geometric transformations to elementary geometry. Use of DGS.



Textbook Information




Open in PDF format Versione in italiano