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Models of geometry

Code: 45785
ECTS: 5.0
Lecturers in charge: prof. dr. sc. Željka Milin Šipuš - Lectures
Lecturers: prof. dr. sc. Željka Milin Šipuš - Exercises
English level:

1,0,0

All teaching activities will be held in Croatian. However, foreign students in mixed groups will have the opportunity to attend additional office hours with the lecturer and teaching assistants in English to help master the course materials. Additionally, the lecturer will refer foreign students to the corresponding literature in English, as well as give them the possibility of taking the associated exams in English.
Load:

1. komponenta

Lecture typeTotal
Lectures 30
Exercises 30
* Load is given in academic hour (1 academic hour = 45 minutes)
Description:
COURSE AIMS AND OBJECTIVES:
To introduce the basic concepts of Euclidian and non-Euclidian geometries.

COURSE DESCRIPTION AND SYLLABUS:
1. Euclidian plane (analytical approach)
2. Equimorfic group. Affine group
3. The group of isometries
4. Geometry on a sphere
5. Distances. Isometries.
6. Sphere trigonometry.
7. Projective plane. Homogeneous coordinates.
8. Desargue and Pappus theorem.
9. Projective group. Polarity.
10. Eliptic plane.
11. Hiperbolic plane.
12. Distances. Isometries.
13. Hiperbolic geometry. Circles.
Literature:
1. semester
Geometrija i topologija - Mandatory studij - Mathematics and Computer Science Education

2. semester
Geometrija i topologija - Mandatory studij - Mathematics and Computer Science Education
Consultations schedule: