| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MAT42020121310 | MOTION GEOMETRY | Elective | 4 | 8 | 5 |
|
| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| Provide basic information about the geometry of motion on student's needs throughout the undergraduate and graduate education. To give solutions of problems encountered in this area. |
| 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 | |
|
| Mode of Delivery |
| Formal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| Planar motion, velocities, accelerations, closed movements, differential forms, the global movement. |
| Weekly Detailed Course Contents |
|
| 1 | Planar motion
| | | | 2 | Dual number system and the dual number ring
| | | | 3 | Matrix representation of Dual numbers and the dual vector space
| | | | 4 | D-module, the definition of inner product and norm on D-module
| | | | 5 | Velocitie
| | | | 6 | E. Study transformation and the dual angle
| | | | 7 | The outer product, mixed product on D-module and the concept of base on dual vectors
| | | | 8 | Midterm exam
| | | | 9 | Dual isometries on D-module
| | | | 10 | Series expansion of Dual-variable functions and dual integral
| | | | 11 | Algebra of real quaternions, matrix representation of the real quaternions
| | | | 12 | Symplectic geometry
| | | | 13 | Dual quaternions and the basic operations on dual quaternions
| | | | 14 | Line quaternions
| | | | 15 | Quaternion operator, rotation and shift operators
| | | | 16 | Final exam | | |
|
| Recommended or Required Reading |
| Hacısalihoğlu, H.Hilmi. Hareket Geometrisi ve Kuaterniyonlar Teorisi, Gazi Üniversitesi Fen-Edebiyat Fakültesi, Matematik Bölümü. |
| Planned Learning Activities and Teaching Methods |
|
| 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 |
|
| Workload Calculation |
|
| 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 |
|
| Contribution of Learning Outcomes to Programme Outcomes |
| LO1 | 5 | 4 | 5 | 5 | 4 | 3 | 4 | | LO2 | | | | | | | | | LO3 | | | | | | | | | LO4 | | | | | | | | | LO5 | | | | | | | |
|
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
|
|
|
|
Ordu University Rectorate Building ,Cumhuriyet Campus , Center / ORDU / TURKEY • Tel: +90 452 226 52 00
|