Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 1 / Fall 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 lesson is to give the basic concepts of the difference equations. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Investigate Existence of Difference Equations, Classify Difference Equations, |
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-5 Ability to gain qualifications based on basic mathematical skills, problem solving, reasoning, association and generalization. PO-6 Following the developments in science and technology and gain self-renewing ability. PO-9 Ability to learn information about history of science and scientific knowledge production. PO-16 Ability to use the approaches and knowledge of other disciplines in Mathematics. |
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| LO-2 |
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-6 Following the developments in science and technology and gain self-renewing ability. 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 | ||
| Difference Calculus, Linear first order difference equation, Linear Difference Equations of Higher Order, Linear Homogeneous Equations with Constant Coefficients, Nonhomogeneous linear difference equations, The method of parameters, Nonlinear Equations Transformable to Linear Equations | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Difference Calculus | Oral Represention, Questioning-Answering, Problem solving |
| 2 | Difference Calculus | Oral Represention, Questioning-Answering, Problem solving |
| 3 | Linear first order difference equation | Oral Represention, Questioning-Answering, Problem solving |
| 4 | Linear first order difference equation | Oral Represention, Questioning-Answering, Problem solving |
| 5 | Linear Difference Equations of Higher Order | Oral Represention, Questioning-Answering, Problem solving |
| 6 | Linear Difference Equations of Higher Order | Oral Represention, Questioning-Answering, Problem solving |
| 7 | Linear Homogeneous Equations with Constant Coefficients | Oral Represention, Questioning-Answering, Problem solving |
| 8 | mid-term exam | |
| 9 | Linear Homogeneous Equations with Constant Coefficients | Oral Represention, Questioning-Answering, Problem solving |
| 10 | Nonhomogeneous linear difference equations | Oral Represention, Questioning-Answering, Problem solving |
| 11 | Nonhomogeneous linear difference equations | Oral Represention, Questioning-Answering, Problem solving |
| 12 | The method of parameters | Oral Represention, Questioning-Answering, Problem solving |
| 13 | The method of parameters | Oral Represention, Questioning-Answering, Problem solving |
| 14 | Nonlinear Equations Transformable to Linear Equations | Oral Represention, Questioning-Answering, Problem solving |
| 15 | Nonlinear Equations Transformable to Linear Equations | 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 | |
| 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 | 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 | 15 | 45 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 187 | ||