Fibonacci Vector 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 |
|---|---|---|---|---|---|---|
| Fibonacci Vector Geometry | MAT608 | Elective | Doctorate degree | 1 | Fall | 8 |
Name of Lecturer(s)
Prof. Dr. Neşe ÖMÜR
Learning Outcomes of the Course Unit
1) Students will gain necessary background mathematics for further studies
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 | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
The applications of Fibonacci numbers
Course Contents
Basic concepts, the 2-Fibonacci sequences, extensions of the concepts of 2-Fibonacci sequences, vector sequences from linear recurrences, the Fibonacci Honeycomb plane, Fibonacci and Lucas vector polygons, trigonometry in the Honeycomb plane, vector sequences generated in planes, Fibonacci tracks and groups, goldpoints and Golden-mean constructions, the goldpoint rings of a line-segment, triangles and squares marked with goldpoints.
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Contribution of Semester Studies to Course Grade |
40% |
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Contribution of Final Examination to Course Grade |
60% |
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Total | 100% | |||||||||||
Language of Instruction
Turkish
Work Placement(s)
Not Required