| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MAT533 | MOTION GEOMETRY I | Elective | 1 | 1 | 6 |
|
| Level of Course Unit |
| Second Cycle |
| Objectives of the Course |
| The aim of this course is to give basic concepts and theorems of MOTION GEOMETRY I. |
| Name of Lecturer(s) |
| Doç.Dr.Murat BABAARSLAN |
| Learning Outcomes |
| 1 | Knows the number of dual | | 2 | Knows dual vectors | | 3 | Knows the transformation of the E-study | | 4 | Knows dual unit sphere | | 5 | Knows the concepts of axis, dual angle and the outer product |
|
| Mode of Delivery |
| Formal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| Dual number ring (D-Module), sequential binary, operations on D, Dual number system, theorems, dual volume, scalar multiplication in dual spaces, matrix representation of dual spaces, theorems, conjugate dual numbers, dual vectors, inner product on D-modules, the dual unit vector, theorems, E-study transformation, the dual unit sphere, theorems, axis (step), the dual-angle, External product and mixed product on D-module, Linear dependence of dual vectors, linear independence and bases, Dual isometries in D-module |
| Weekly Detailed Course Contents |
|
| 1 | Dual number ring (D-Module), sequential binary | | | | 2 | Operations on D, Dual number system | | | | 3 | Theorems | | | | 4 | Dual volume | | | | 5 | Scalar multiplication in dual spaces | | | | 6 | Matrix representation of dual spaces, theorems | | | | 7 | Conjugate dual numbers | | | | 8 | Mid-Term Exam | | | | 9 | Dual vectors, inner product on D-modules | | | | 10 | The dual unit vector, theorems | | | | 11 | E-study transformation | | | | 12 | The dual unit sphere | | | | 13 | Theorems | | | | 14 | Axis (step), the dual-angle | | | | 15 | The exterior multiplication on D-module | | | | 16 | Final Exam | | |
|
| Recommended or Required Reading |
| Hareket Geometrisi ve Kuaterniyonlar Teorisi
Prof. Dr. H. Hilmi Hacısalihoğlu
Eylül 1983 / 1. Baskı / 338 Syf. |
| Planned Learning Activities and Teaching Methods |
|
| 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 |
|
| Workload Calculation |
|
| Midterm Examination | 1 | 80 | 80 |
| Final Examination | 1 | 70 | 70 |
| Makeup Examination | 1 | 40 | 40 |
|
| Contribution of Learning Outcomes to Programme Outcomes |
|
| * 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 |