Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 1 / Fall 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 | ZARİFE ZARARSIZ (zarifezararsiz@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | ZARİFE ZARARSIZ, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| The aim of this course, to give basic concepts of sequence spaces of fuzzy numbers. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | The concept, Fuzzy sets, the concept alpha-cuts are teach. |
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. |
Examination |
| LO-2 | closed intervals and some algebraic properties of them are known |
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. |
Examination |
| LO-3 | The examples are given for fuzzy number, triangular fuzzy number, trapezoid fuzzy number. |
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. |
Examination |
| LO-4 | some special fuzzy number are known |
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. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Fuzzy sets, the concept alpha-cuts, closed intervals and some algebraic properties of them, fuzzy number, triangular fuzzy number, trapezoid fuzzy number, some special fuzzy number, basic aritmetic properties of fuzzy numbers, distance function on the set of fuzzy number, completennes the set of fuzzy numbers. | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Fuzzy sets | oral represantation, questioning - answering, problem solving |
| 2 | the concept alpha-cuts | oral represantation, questioning - answering, problem solving |
| 3 | closed intervals and some algebraic properties of them | oral represantation, questioning - answering, problem solving |
| 4 | fuzzy number, triangular fuzzy number, trapezoid fuzzy number | oral represantation, questioning - answering, problem solving |
| 5 | basic aritmetic properties of fuzzy numbers | oral represantation, questioning - answering, problem solving |
| 6 | distance function on the set of fuzzy number | oral represantation, questioning - answering, problem solving |
| 7 | distance function on the set of fuzzy number | oral represantation, questioning - answering, problem solving |
| 8 | mid-term exam | |
| 9 | distance function on the set of fuzzy number | oral represantation, questioning - answering, problem solving |
| 10 | Completeness of the set of fuzzy numbers | oral represantation, questioning - answering, problem solving |
| 11 | Convergent sequences of fuzzy numbers and level convergence | oral represantation, questioning - answering, problem solving |
| 12 | Convergent sequences of fuzzy numbers and level convergence | oral represantation, questioning - answering, problem solving |
| 13 | Convergent sequence space of fuzzy numbers | oral represantation, questioning - answering, problem solving |
| 14 | Completeness of Convergent sequence space of fuzzy numbers | oral represantation, questioning - answering, problem solving |
| 15 | Completeness of Convergent sequence space of fuzzy numbers | oral represantation, questioning - answering, problem solving |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Summability Theory and Its Applications, Feyzi Başar. | |
| Required Course instruments and materials | ||
| Books related with of this course and internet. | ||
| 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 | 4 | 1 | 5 |
| 5.Report | |||
| 6.Workshop | |||
| 7.Performance Project | |||
| 8.Term Paper | |||
| 9.Project | |||
| final exam | 15 | 60 | |
| Student Work Load | |||
| Type of Work | Weekly Hours | Number of Weeks | Work Load |
| Weekly Course Hours (Theoretical+Practice) | 3 | 18 | 54 |
| Outside Class | |||
| a) Reading | 2 | 18 | 36 |
| 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 | 0 | ||
| mid-term exam | 2 | 15 | 30 |
| Own study for final exam | 2 | 15 | 30 |
| final exam | 2 | 15 | 30 |
| 0 | |||
| 0 | |||
| Total work load; | 180 | ||