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| Year/Semester of Study | 1 / Spring Semester | ||||
| Level of Course | 3rd Cycle Degree Programme | ||||
| Type of Course | Optional | ||||
| Department | MATHEMATICS (DOCTORATE DEGREE) | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | YASİN YAZLIK (yyazlik@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | |||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 |
PO-1 Students can design an original issue and explore new, different and / or comprehend complex issues. PO-2 Students will understand all aspects of mathematics and deepen the knowledge level that can innovate in this field. PO-3 Students will be dominated by current issues in mathematics. PO-8 Be able to organize events, for the development of critical and creative thinking and problem solving skills, by using appropriate methods and techniques. PO-11 Ability to use mathematical knowledge in technology. PO-14 Ability to use the approaches and knowledge of other disciplines in Mathematics. PO-15 Be able to set up and develope a solution method for a problem in mathematics independently, be able to solve and evaluate the results and to apply them if necessary. |
Examination Oral Examination |
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| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Tools of Approximation, | |
| 2 | Poincar´es Theorem, | |
| 3 | Perron’s Theorems, | |
| 4 | Asymptotically Diagonal Systems, | |
| 5 | High-Order Difference Equations, | |
| 6 | High-Order Difference Equations, | |
| 7 | Second-Order Difference Equations, | |
| 8 | mid-term exam | |
| 9 | Second-Order Difference Equations, | |
| 10 | Birkhoff’s Theorem | |
| 11 | Nonlinear Difference Equations, | |
| 12 | Extensions of the Poincar´e and Perron Theorems | |
| 13 | Examples from the literature, | |
| 14 | Examples from the literature, | |
| 15 | Examples from the literature, | |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 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) | 3 | 14 | 42 |
| Outside Class | |||
| a) Reading | 3 | 14 | 42 |
| b) Search in internet/Library | 2 | 7 | 14 |
| c) Performance Project | 2 | 8 | 16 |
| d) Prepare a workshop/Presentation/Report | 0 | ||
| e) Term paper/Project | 0 | ||
| Oral Examination | 0 | ||
| Quiz | 0 | ||
| Laboratory exam | 0 | ||
| Own study for mid-term exam | 3 | 8 | 24 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 3 | 14 | 42 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 184 | ||