| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Advanced Projective Geometry I | MAT616 | 3 + 0 | 3.0 | 8.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Graduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Res. Assist. Zehra İŞBİLİR |
| Instructors | |
| Assistants | |
| Goals | Teaching the fundamental knowledges of the subject related to projective geometry and the relations between Affine and Projective Planes. |
| Course Content | Affine Planes and Projective Planes,Coordinates in Affine Planes ,Central Collineations,Desarguesian Planes, Pappian Planes |
| Learning Outcomes |
- Students will learn theoretical concepts in mathematics - Students will learn how to read academical journals |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Affine Planes and Projective Planes | |
| 2. Week | Affine Planes and Projective Planes | |
| 3. Week | Affine Planes and Projective Planes | |
| 4. Week | Coordinates in Affine Planes | |
| 5. Week | Coordinates in Affine Planes | |
| 6. Week | Coordinates in Affine Planes | |
| 7. Week | Central Collineations | |
| 8. Week | midterm | |
| 9. Week | Desarguesian Planes | |
| 10. Week | Desarguesian Planes | |
| 11. Week | Pappian Planes | |
| 12. Week | Pappian Planes | |
| 13. Week | Pappian Planes | |
| 14. Week | Pappus Planes |
| Kaya, R., Projektif Geometri,Osmangazi Üniversitesi Eskişehir, 2005. |
| Brannan, D. A.;Esplen, M.F. and Gray, J.J., Geometry, Cambridge University Pres,1998. |
| Pickert,G.,Projektive Ebenen, Berlin etc.:Springer-Verlag,1975. |
| Dembowski, P.;Finite Geometries, Berlin etc.: Springer Verlag,1968. |
| Veblen, O. and Young,J.W. ,Projective Geometry, Vol.I-II, New York-Toronto-London,Blaisdell Publishing Company, 1965. |
| Program Requirements | Contribution Level | DK1 | DK2 | Measurement Method |
|---|---|---|---|---|
| PY1 | 2 | 1 | 1 | 60 |
| PY2 | 2 | 1 | 1 | 60 |
| PY3 | 2 | 0 | 0 | 60 |
| PY4 | 2 | 1 | 1 | 60 |
| PY5 | 2 | 1 | 1 | 60 |
| PY6 | 2 | 1 | 1 | 60 |
| PY7 | 2 | 1 | 1 | 60 |
| PY9 | 2 | 1 | 1 | 60 |
| PY10 | 2 | 1 | 1 | 60 |
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| Course's Level of contribution | None | Very Low | Low | Fair | High | Very High |
| Method of assessment/evaluation | Written exam | Oral Exams | Assignment/Project | Laboratory work | Presentation/Seminar |
| Event | Quantity | Duration (Hour) | Total Workload (Hour) |
|---|---|---|---|
| Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 15 | 2 | 30 |
| Homework 2 | 15 | 2 | 30 |
| Final | 1 | 2 | 2 |
| Practice | 15 | 3 | 45 |
| Practice End-Of-Term | 15 | 3 | 45 |
| Classroom Activities | 15 | 3 | 45 |
| Total Workload | 199 | ||
| ECTS Credit of the Course | 8.0 | ||
