| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MAT41920121310 | THEORY OF KUATERNIONS | Elective | 4 | 7 | 5 |
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| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| Give them detailed information on issues related to the quaternions. |
| Name of Lecturer(s) |
| Yrd.Doç.Dr. Süleyman Şenyurt |
| Learning Outcomes |
| 1 | Students will develop the right thinking and the ability to comment and students will gain basic knowledge about mathematics. | | 2 | | | 3 | | | 4 | | | 5 | |
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| Mode of Delivery |
| Formal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| Dual number system and the dual number ring, D-module, definition of inner product and norm on D-module, E. Study transformation and the dual-angle, dual isometries on D-module, the real quaternions algebra, reel matrix representation of the real quaternions, dual quaternions, line quaternions, Screw operator and the movement of the screw. Theory of Dual-variable functions, the theory of quaternions, lines.
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| Weekly Detailed Course Contents |
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| 1 | Dual number system and the dual number ring
| | | | 2 | Dual number system and the dual number ring
| | | | 3 | D-module
| | | | 4 | Definition of inner product and norm on D-module
| | | | 5 | E. Study transformation and the dual-angle
| | | | 6 | dual isometries on D-module
| | | | 7 | The real quaternions algebra
| | | | 8 | Midterm exam
| | | | 9 | Reel matrix representation of the real quaternions
| | | | 10 | Dual quaternions
| | | | 11 | Line quaternions
| | | | 12 | Line quaternions
| | | | 13 | Theory of Dual-variable functions
| | | | 14 | The theory of quaternions
| | | | 15 | Screw operator and the movement of the screw
| | | | 16 | Final exam | | |
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| Recommended or Required Reading |
| Hacısalihoğlu, H.Hilmi. Hareket Geometrisi ve Kuaterniyonlar Teorisi, Gazi Üniversitesi Fen-Edebiyat Fakültesi, Mathematics Bölümü. |
| Planned Learning Activities and Teaching Methods |
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| Assessment Methods and Criteria | |
| SUM | 0 | |
| SUM | 0 | | Yarıyıl (Yıl) İçi Etkinlikleri | 40 | | Yarıyıl (Yıl) Sonu Etkinlikleri | 60 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | None |
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| Workload Calculation |
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| Midterm Examination | 1 | 2 | 2 |
| Final Examination | 1 | 2 | 2 |
| Attending Lectures | 14 | 5 | 70 |
| Self Study | 14 | 3 | 42 |
| Individual Study for Homework Problems | 10 | 2 | 20 |
| Individual Study for Mid term Examination | 1 | 10 | 10 |
| Individual Study for Final Examination | 1 | 13 | 13 |
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| Contribution of Learning Outcomes to Programme Outcomes |
| LO1 | 4 | 5 | 3 | 5 | 4 | 4 | 5 | | LO2 | | | | | | | | | LO3 | | | | | | | | | LO4 | | | | | | | | | LO5 | | | | | | | |
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| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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