Προβολή πηγαίου κώδικα για τη σελίδα Euclidean and Non Euclidean Geometries (MAE727)

* [[Ευκλείδεια και Μη Ευκλείδειες Γεωμετρίες (ΜΑΕ727)|Ελληνική Έκδοση]]
{{Course-UnderGraduate-Top-EN}}
{{Menu-OnAllPages-EN}}

=== General ===
{| class="wikitable"
|-
! School
|
School of Science
|-
! Academic Unit
|
Department of Mathematics
|-
! Level of Studies
|
Undergraduate
|-
! Course Code
|
MAE727
|-
! Semester
|
7
|-
! Course Title
|
Euclidean and Non Euclidean Geometries
|-
! Independent Teaching Activities
|
Lectures, laboratory exercises (Weekly Teaching Hours: 3, Credits: 6)
|-
! Course Type
|
Special Background
|-
! Prerequisite Courses
| -
|-
! Language of Instruction and Examinations
|
Greek, English
|-
! Is the Course Offered to Erasmus Students
|
Yes
|-
! Course Website (URL)
| See [https://ecourse.uoi.gr/ eCourse], the Learning Management System maintained by the University of Ioannina.
|}

=== Learning Outcomes ===
{| class="wikitable"
|-
! Learning outcomes
|
This is an introductory course on non Euclidean geometries. The aim is to study how the attempt to prove Euclid's fifth postulate led the way to non Euclidean geometries.
On completion of the course the student should be familiar with the foundations of Euclidean and non Euclidean geometries. 
|-
! General Competences
|
* Working independently 
* Decision-making
* Production of free, creative and inductive thinking
* Criticism and self-criticism 
|}
=== Syllabus ===
Euclid's geometry, Hilbert's system of axioms, the fifth postulate, compatibility of axioms, neutral geometry, independence of the fifth postulate, hyperbolic geometry, Poincarẻ model, spherical geometry, Platonic solids.
=== Teaching and Learning Methods - Evaluation ===
{| class="wikitable"
|-
! Delivery
|
Classroom (face-to-face)
|-
! Use of Information and Communications Technology
| -
|-
! Teaching Methods
|
{| class="wikitable"
! Activity
! Semester Workload
|-
| Lectures (13X3)
| 39
|-
| Working independently
| 78
|-
| Exercises-Homeworks
| 33
|-
| Course total 
| 150
|}
|-
! Student Performance Evaluation
|
Final written exam in Greek (in case of Erasmus students in English) which includes resolving application problems. 
|}
=== Attached Bibliography ===

<!-- In order to edit the bibliography, visit the webpage -->
<!-- https://wiki.math.uoi.gr/index.php/%CE%A0%CF%81%CF%8C%CF%84%CF%85%CF%80%CE%BF:MAE727-Biblio -->

See the official [https://service.eudoxus.gr/public/departments#20 Eudoxus site] or the [https://cloud.math.uoi.gr/index.php/s/62t8WPCwEXJK7oL local repository] of Eudoxus lists per academic year, which is maintained by the Department of Mathematics. Books and other resources, not provided by Eudoxus:

{{MAE727-Biblio}}