Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 4 / 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 | SURE KÖME (sure.kome@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | |||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| The purpose of this course learning the theory of integral equation. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Differential equations convert to integral equations and integral equations convert to differential equations. |
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-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data. |
Examination Term Paper |
| LO-2 | Can obtain the solutions of some integral equations. |
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-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data. |
Examination Term Paper |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Fredholm equations, Volterra integral equations, Applications of integral equations to ordinary differential equations. | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Basic knowledge about the integral equtions | Oral expression, discussion, question-answer |
| 2 | Integral equations with separable kernel | Oral expression, discussion, question-answer |
| 3 | Integral equations with separable kernel | Oral expression, discussion, question-answer |
| 4 | Successive approximation methods | Oral expression, discussion, question-answer |
| 5 | Successive approximation methods | Oral expression, discussion, question-answer |
| 6 | Fredholm equations | Oral expression, discussion, question-answer |
| 7 | Fredholm equations | Oral expression, discussion, question-answer |
| 8 | mid-term exam | |
| 9 | Volterra integral equations | Oral expression, discussion, question-answer |
| 10 | Volterra integral equations | Oral expression, discussion, question-answer |
| 11 | Applications of integral equations to ordinary differential equations | Oral expression, discussion, question-answer |
| 12 | Applications of integral equations to ordinary differential equations(Green func.) | Oral expression, discussion, question-answer |
| 13 | Applications of integral equations to ordinary differential equations(Modified Green func.) | Oral expression, discussion, question-answer |
| 14 | Symmetric kernels | Oral expression, discussion, question-answer |
| 15 | Symmetric kernels | Oral expression, discussion, question-answer |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | KRASNOV, M. L.; KISELEV, A. I.; MAKARENKO, G. I. Integral equations. 1975. | |
| Required Course instruments and materials | ||
| Course Book, Laptop Computer | ||
| 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 | 5 | 14 | 70 |
| b) Search in internet/Library | 0 | ||
| 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 | 10 | 2 | 20 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 15 | 2 | 30 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 180 | ||