Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 3 / Spring Semester | ||||
| Level of Course | 1st Cycle Degree Programme | ||||
| Type of Course | Optional | ||||
| Department | MATHEMATICS | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | ESMA DEMİR ÇETİN (esma.demir@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | ESMA DEMİR ÇETİN, ÇAĞLA RAMİS, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| Giving basic information about kinematics that the student will need during undergraduate and graduate education. And to figure out how to go about solving problems. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Gets the ability to understand and solve the classes of kinematics, geometrical transformations, problems with groups. |
PO-1 Have the ability to conceptualize the events and facts related to the field of mathematics such as Analysis, Geometry and Algebra with the help of the scientific methods and techniques and can define these concepts. PO-5 Develop suitable material for a subject on a mathematical area, to use the knowledge and experience gains with different methods |
Examination Performance Project |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Complex number theory, Rotation matrix form of complex numbers, Quaternion theory, Real quaternions, Complex form of quaternions, Matrix form of quaternions, quaternion operator, Quaternionic expression of rotations, Quaternionic expression of reflections, Cayley formula, Chasles’ theorem, Screw motion, Determine the axis of screw motion, Expressing the screw motion in terms of rotation and translation | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Complex number theory | Speech, Problem Solving |
| 2 | Rotation matrix form of complex numbers | Speech, Problem Solving |
| 3 | Quaternion theory | Speech, Problem Solving |
| 4 | Real quaternions | Speech, Problem Solving |
| 5 | Complex form of quaternions | Speech, Problem Solving |
| 6 | Matrix form of quaternions | Speech, Problem Solving |
| 7 | Quaternion operator | Speech, Problem Solving |
| 8 | mid-term exam | |
| 9 | Quaternionic expression of rotations | Speech, Problem Solving |
| 10 | Quaternionic expression of reflections | Speech, Problem Solving |
| 11 | Cayley formula | Speech, Problem Solving |
| 12 | Chasles’ theorem | Speech, Problem Solving |
| 13 | Screw motion | Speech, Problem Solving |
| 14 | Determine the axis of screw motion | Speech, Problem Solving |
| 15 | Expressing the screw motion in terms of rotation and translation | Speech, Problem Solving |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | J. M. McCarthy, Introduction to Theoretical Kinematics, MIT Press, 1990. | |
| 2 | Ward, J.P. Quaternions and Cayley Numbers, Kluwer Academic Publisher, 1997 | |
| 3 | Hacısalihoğlu, H.Hilmi. Hareket Geometrisi ve Kuaterniyonlar Teorisi, Gazi Üniversitesi Fen-Edebiyat Fakültesi, Matematik Bölümü.,1983 | |
| Required Course instruments and materials | ||
| Assessment Methods | |||
| Type of Assessment | Week | Hours | Weight(%) |
| mid-term exam | 8 | 2 | 40 |
| Other assessment methods | |||
| 1.Oral Examination | |||
| 2.Quiz | |||
| 3.Laboratory exam | |||
| 4.Presentation | |||
| 5.Report | |||
| 6.Workshop | |||
| 7.Performance Project | |||
| 8.Term Paper | |||
| 9.Project | |||
| final exam | 16 | 2 | 60 |
| Student Work Load | |||
| Type of Work | Weekly Hours | Number of Weeks | Work Load |
| Weekly Course Hours (Theoretical+Practice) | 4 | 14 | 56 |
| Outside Class | |||
| a) Reading | 1 | 14 | 14 |
| b) Search in internet/Library | 0 | ||
| c) Performance Project | 0 | ||
| d) Prepare a workshop/Presentation/Report | 0 | ||
| e) Term paper/Project | 1 | 5 | 5 |
| Oral Examination | 0 | ||
| Quiz | 0 | ||
| Laboratory exam | 0 | ||
| Own study for mid-term exam | 3 | 14 | 42 |
| mid-term exam | 1 | 14 | 14 |
| Own study for final exam | 3 | 14 | 42 |
| final exam | 1 | 14 | 14 |
| 0 | |||
| 0 | |||
| Total work load; | 187 | ||