Information Package / Course Catalogue
Non- Euclidean Geometry
Course Code: MTK518
Course Type: Area Elective
Couse Group: Second Cycle (Master's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 8
Objectives of the Course

Our aim is to give some definitions on non Euclidean geometry.

Course Content

Euclid, Saccheri ,Lambert ,Bolyai ,Riemann, eliptic geometry, hyperbolic geometry, cirles and triangles, Euclidian models.

Name of Lecturer(s)
Learning Outcomes
1.To be able to recognize histories of mathematician
2.To be able to comprehend elliptic geometry
3.To be able to comprehend non-Euclidean geometry
4.To be able to comprehend hyperbolic geometry
5.To be able to gain the skill of interpreting some interrelations among these concepts
Recommended or Required Reading
1.Coxeter, H.S. Non- Euclidean Ceometry Washington. D.C.20036
Weekly Detailed Course Contents
Week 1 - Theoretical
Euclid, Saccheri
Week 2 - Theoretical
Lambert ,Bolyai, Riemann
Week 3 - Theoretical
Definitions and axioms
Week 4 - Theoretical
Models
Week 5 - Theoretical
Solve the problems
Week 6 - Theoretical
Elliptic geometry in one one dimension
Week 7 - Theoretical
Elliptic geometry in two dimension
Week 8 - Theoretical
Elliptic geometry in three dimension
Week 9 - Theoretical
Solve the problems
Week 10 - Theoretical
Circles
Week 11 - Theoretical
Triangles
Week 12 - Theoretical
Euclidean models
Week 13 - Theoretical
Solve the problems
Week 14 - Theoretical
Review of semester
Assessment Methods and Criteria
Type of AssessmentCountPercent
Assignment3%30
Final Examination1%70
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory142370
Assignment301236
Individual Work140342
Final Examination150252
TOTAL WORKLOAD (hours)200
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
PÇ-12
PÇ-13
PÇ-14
PÇ-15
OÇ-1
2
4
5
1
1
3
4
OÇ-2
4
4
5
1
1
3
4
OÇ-3
2
4
5
1
1
3
4
OÇ-4
2
4
5
1
1
3
4
OÇ-5
2
4
5
1
1
3
4
Adnan Menderes University - Information Package / Course Catalogue
2026