Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 1 / Spring Semester | ||||
| Level of Course | 2nd 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 | |||||
| The aim of this course is to give the theory of difference equations and stability | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Investigate Existence of Difference Equation System, Classify Difference Equation System |
PO-1 Fundamental theorems of about some sub-theories of Analysis, Applied Mathematics, Geometry, and Algebra can apply to new problems. PO-2 Ability to assimilate mathematic related concepts and associate these concepts with each other. PO-3 Mathematics, natural sciences and their branches in these areas and related issues has sufficient infrastructure solutions for the problems of theoretical and practical uses of mathematics. PO-4 Ability to learn scientific, mathematical perception and the ability to use that information to related areas. PO-5 Ability to gain qualifications based on basic mathematical skills, problem solving, reasoning, association and generalization. PO-7 Be able to access to information, make research on resources for this purpose and be able to use databases and other information resources. PO-10 Be able to organize events, for the development of critical and creative thinking and problem solving skills, by using appropriate methods and techniques. PO-13 Ability to use mathematical knowledge in technology. PO-16 Ability to use the approaches and knowledge of other disciplines in Mathematics. |
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| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Systems of Linear Difference Equations, Autonomous (Time-Invariant) Systems, Putzer Algorithm, The Jordan Form, Linear Periodic Systems, Stability Theory, Stability of Linear Systems | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Systems of Linear Difference Equations | Oral Represention, Questioning-Answering, Problem solving |
| 2 | Systems of Linear Difference Equations | Oral Represention, Questioning-Answering, Problem solving |
| 3 | Autonomous (Time-Invariant) Systems | Oral Represention, Questioning-Answering, Problem solving |
| 4 | Autonomous (Time-Invariant) Systems | Oral Represention, Questioning-Answering, Problem solving |
| 5 | Putzer Algorithm | Oral Represention, Questioning-Answering, Problem solving |
| 6 | Putzer Algorithm | Oral Represention, Questioning-Answering, Problem solving |
| 7 | The Jordan Form | Oral Represention, Questioning-Answering, Problem solving |
| 8 | mid-term exam | |
| 9 | Linear Periodic Systems | Oral Represention, Questioning-Answering, Problem solving |
| 10 | Linear Periodic Systems | Oral Represention, Questioning-Answering, Problem solving |
| 11 | Stability Theory | Oral Represention, Questioning-Answering, Problem solving |
| 12 | Stability Theory | Oral Represention, Questioning-Answering, Problem solving |
| 13 | Stability of Linear Systems | Oral Represention, Questioning-Answering, Problem solving |
| 14 | Stability of Linear Systems | Oral Represention, Questioning-Answering, Problem solving |
| 15 | Stability of Linear Systems | Oral Represention, Questioning-Answering, Problem solving |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Saber N. ELAYDI, (1995) An Introduction to Difference Equations, Springer Kelley Peterson, Difference Equations | |
| 2 | H. Levy and F. LEssman, Finite Difference Equation, The Macmillan Company, New York , 1961 | |
| Required Course instruments and materials | ||
| Saber N. ELAYDI, (1995) An Introduction to Difference Equations, Springer Kelley Peterson, Difference Equations | ||
| 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 | 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 | 15 | 45 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 187 | ||