Kinematic Geometry
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 |
|---|---|---|---|---|---|---|
| Kinematic Geometry | MAT609 | Elective | Doctorate degree | 1 | Spring | 8 |
Name of Lecturer(s)
Associate Prof. Dr. Günay ÖZTÜRK
Research Assistant Nizamettin Ufuk BOSTAN
Learning Outcomes of the Course Unit
1) Recognize the dual numbers
2) Explain the E. Study transformation
3) Recognize the structure of D-Modul
4) Recognize the planar and spherical motions
5) Calculate the geometric invariant of the ruled surface
6) Adopt the Holditch theorem to the unit dual sphere
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
Introduction to Quaternion Theory
Course Contents
Candidates are provided with in-depth knowledge on dual numbers, E. Study transformation, D-Modul, theory of functions of dual variable, isometries on D-Modul, plane motions, spherical motions, Line-geometry, ruled surfaces, trajectory surfaces, one-parameter motions in line-space and ID- module, generalization of Holditch theorem on dual unit sphere, geometric invariants of the trajectory surfaces.
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Language of Instruction
Turkish
Work Placement(s)
Not Required