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 | YASİN YAZLIK (yyazlik@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | |||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| To learn difference equations and theory. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 |
PO-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data. PO-3 Define the some models of mathematical problems, evaluate with a critical approach, analyze with theoretical and applied knowledge. PO-4 Analytically use the interdisciplinary approach at learning process. PO-5 Develop suitable material for a subject on a mathematical area, to use the knowledge and experience gains with different methods PO-8 Learn the life-long learning and quality management processes and apply them, attend social, cultural and artistic events on his field. PO-9 Develop vocational projects and activities and apply them. PO-11 With the knowledge he gain, they determine the learning needs of those working under him, execute the musts of graduate education. |
Examination |
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| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Topics such as theory of difference equation systems, solution methods of linear difference equation systems with constant coefficients, periodic systems, stability analysis of difference equations will be covered. | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Theory of Linear Difference Equation Systems | Expression method, question-answer method, discussion |
| 2 | Theory of Linear Difference Equation Systems | Expression method, question-answer method, discussion |
| 3 | Constant Coefficient Homogeneous Difference Equation Systems | Expression method, question-answer method, discussion |
| 4 | Solution Methods for Constant Coefficient Homogeneous Difference Equation Systems, Putzer Algorithm | Expression method, question-answer method, discussion |
| 5 | Solution Methods for Constant Coefficient Homogeneous Difference Equation Systems, Jordan Canonical Form | Expression method, question-answer method, discussion |
| 6 | Solution Methods for Constant Coefficient Homogeneous Difference Equation Systems, Jordan Blocks | Expression method, question-answer method, discussion |
| 7 | Linear Periodic Systems | Expression method, question-answer method, discussion |
| 8 | mid-term exam | |
| 9 | Linear Periodic Systems | Expression method, question-answer method, discussion |
| 10 | The Behavior of the Solutions of Second Order Nnhomogeneous Difference Equations with Constant Coefficients | Expression method, question-answer method, discussion |
| 11 | The Behavior of the Solutions of Second Order Nnhomogeneous Difference Equations with Constant Coefficients | Expression method, question-answer method, discussion |
| 12 | Stability theory of difference equations | Expression method, question-answer method, discussion |
| 13 | Stability theory of difference equations | Expression method, question-answer method, discussion |
| 14 | Stability theory of linear homogeneous difference equations with order k | Expression method, question-answer method, discussion |
| 15 | Cobweb scheme | Expression method, question-answer method, discussion |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Soykan, Y.,Lineer Fark Denklemleri,1. Basım, Seçkin Yayıncılık,2017 | |
| 2 | Bereketoğlu H., Kutay Vildan, Fark Denklemleri, Gazi Kitabevi, 2012, Ankara | |
| 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 | 3 | 14 | 42 |
| b) Search in internet/Library | 2 | 14 | 28 |
| c) Performance Project | 0 | ||
| 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 | 2 | 8 | 16 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 2 | 15 | 30 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 176 | ||