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 | NECDET BATIR (nbatir@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | NECDET BATIR, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| Teach to selecting topics of functional analysis. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Compakt linear operators on normed spaces is know |
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. |
Examination |
| LO-2 | Spectral properties of compact operators on normed spaces is know |
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. |
Examination |
| LO-3 | Theorems of Fredholm type is know |
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. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Compakt linear operators on normed spaces, Further properties of compact linear operators, Spectral properties of compact operators on normed spaces, Further spectral properties of compact operators, Theorems of Fredholm type. | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Compakt linear operators on normed spaces | Oral representation, questioning and answering |
| 2 | Compakt linear operators on normed spaces | Oral representation, questioning and answering |
| 3 | Compakt linear operators on normed spaces | Oral representation, questioning and answering |
| 4 | Further properties of compact linear operators | Oral representation, questioning and answering |
| 5 | Further properties of compact linear operators | Oral representation, questioning and answering |
| 6 | Further properties of compact linear operators | Oral representation, questioning and answering |
| 7 | Spectral properties of compact operators on normed spaces | Oral representation, questioning and answering |
| 8 | mid-term exam | |
| 9 | Spectral properties of compact operators on normed spaces | Oral representation, questioning and answering |
| 10 | Spectral properties of compact operators on normed spaces | Oral representation, questioning and answering |
| 11 | spectral properties of compact operators | Oral representation, questioning and answering |
| 12 | spectral properties of compact operators | Oral representation, questioning and answering |
| 13 | spectral properties of compact operators | Oral representation, questioning and answering |
| 14 | Theorems of Fredholm type | Oral representation, questioning and answering |
| 15 | Theorems of Fredholm type | Oral representation, questioning and answering |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Introductory fnctioanl analysis with applications, E. Kreyzing | |
| Required Course instruments and materials | ||
| Related resources | ||
| 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 | 2 | 10 | 20 |
| 9.Project | |||
| final exam | 15 | 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 | 6 | 6 | 36 |
| 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 | 6 | 5 | 30 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 8 | 5 | 40 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 180 | ||