Geometry of Non-euclidean Spaces
Mathematics
Institute of Natural and Applied Sciences
Third Cycle (Doctorate Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Geometry of Non-euclidean Spaces | MAT617 | Elective | Doctorate degree | 1 | Spring | 8 |
Name of Lecturer(s)
Prof. Dr. Neşe ÖMÜR
Research Assistant Nizamettin Ufuk BOSTAN
Learning Outcomes of the Course Unit
1) Learns and compares types of geometry.
2) Learns concepts related to vectors in Minkowski space.
3) Recognizes Lorentz subspaces
4) Gain knowledge about the concepts of analytic geometry and linear algebra in Minkowski space.
5) Learns the concept of curves in Minkowski space and proves Frenet formulas.
6) Learns the concept of surfaces in Minkowski space.
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | ||
| Learning Outcomes | ||||||||
| 1 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 2 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 3 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 4 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 5 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 6 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
-
Course Contents
Euclidean geometry axioms and postulates, non-Euclidean geometries, vector concept in Minkowski space, inequalities in Minkowski space, trigonometry and angle concept in Minkowski space, curves and surfaces in Minkowski space.
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Language of Instruction
Turkish
Work Placement(s)
Not Required