Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | MAT527 | TRANSFORMATIONS AND GEOMETRIES IN SPACES OF HIGHER DIMENSION | Elective | 1 | 2 | 6 |
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Level of Course Unit |
Second Cycle |
Objectives of the Course |
The aim of this course is to give basic concepts and theorems of TRANSFORMATIONS AND GEOMETRIES IN SPACES OF HIGHER DIMENSION. |
Name of Lecturer(s) |
Doç.Dr.Murat BABAARSLAN |
Learning Outcomes |
1 | Knows affine space and the affine tranformations | 2 | Dominate the concept of Euclidean space | 3 | Give examples of normal sub-space and the hypersurface | 4 | Knows motions | 5 | Dominate issues of translation, rotation and reflection |
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Mode of Delivery |
Formal Education |
Prerequisites and co-requisities |
None |
Recommended Optional Programme Components |
None |
Course Contents |
Affine spaces and affine transformations, some special automorphisms, Euclidean spaces, the normal sub-spaces and hypersurfaces, Isometries of Euclidean space, movement, equivalent isometries, the classification of planar Isometries, translations, rotations, reflections. |
Weekly Detailed Course Contents |
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1 | Affine spaces and affine transformations | | | 2 | Affine spaces and affine transformations | | | 3 | Some special automorphisms | | | 4 | Some special automorphisms | | | 5 | Euclidean spaces | | | 6 | The normal sub-spaces and hypersurfaces | | | 7 | Isometries of Euclidean space | | | 8 | MID-TERM EXAM | | | 9 | Motions | | | 10 | Equivalent isometries | | | 11 | The classification of planar Isometries | | | 12 | The classification of planar Isometries | | | 13 | Translations | | | 14 | Rotations | | | 15 | Reflections | | | 16 | FINAL EXAM | | |
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Recommended or Required Reading |
Yüksek Boyutlu Uzaylarda Dönüşümler ve Geometriler, Prof. Dr. H. Hilmi Hacısalihoğlu, İnönü Üniv., 1980 |
Planned Learning Activities and Teaching Methods |
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Assessment Methods and Criteria | |
Midterm Examination | 1 | 100 | SUM | 100 | |
Final Examination | 1 | 100 | SUM | 100 | Term (or Year) Learning Activities | 40 | End Of Term (or Year) Learning Activities | 60 | SUM | 100 |
| Language of Instruction | | Work Placement(s) | None |
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Workload Calculation |
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Midterm Examination | 1 | 80 | 80 |
Final Examination | 1 | 70 | 70 |
Makeup Examination | 1 | 40 | 40 |
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Contribution of Learning Outcomes to Programme Outcomes |
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* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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Yozgat Bozok University, Yozgat / TURKEY • Tel (pbx): +90 354 217 86 01 • e-mail: uo@bozok.edu.tr |