Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 4 / Fall 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 | NECDET BATIR (nbatir@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | NECDET BATIR, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| This course is designed to provide students with basic knowledge of functional analysis. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | The definition of partial ordered sentence algebra is learned. |
PO-11 With the knowledge he gain, they determine the learning needs of those working under him, execute the musts of graduate education. |
Examination |
| LO-2 | Definitions of metric space and topological space are known. |
PO-11 With the knowledge he gain, they determine the learning needs of those working under him, execute the musts of graduate education. |
Examination |
| LO-3 | Normed space, Euclidian, linear dual and uniter spaces are known |
PO-11 With the knowledge he gain, they determine the learning needs of those working under him, execute the musts of graduate education. |
Examination |
| LO-4 | The concept of linear and bounded linear operator are teach. |
PO-11 With the knowledge he gain, they determine the learning needs of those working under him, execute the musts of graduate education. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Set algebra and mapping | To speech face to face |
| 2 | Partial ordered set, max. and min. element. | To speech face to face |
| 3 | Metric and topological spaces | To speech face to face |
| 4 | Completeness and The completeness of metric spaces, | To speech face to face |
| 5 | The minimum vector and vertical projection, | To speech face to face |
| 6 | Linear spaces and linear independence | To speech face to face |
| 7 | Normed spaces, Euclidean and üniter spaces | To speech face to face |
| 8 | mid-term exam | |
| 9 | Completeness and finite dimensional | To speech face to face |
| 10 | Linear opeartors | To speech face to face |
| 11 | Continious linear operators | To speech face to face |
| 12 | Linear functionals and dual spaces -1 | To speech face to face |
| 13 | Linear functionals and dual spaces -2 | To speech face to face |
| 14 | Isomorphism | To speech face to face |
| 15 | Linear operators and functionals in the finite dimensional spaces. | To speech face to face |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Fonksiyonel Analiz, Mustafa Bayraktar | |
| Required Course instruments and materials | ||
| The books of Functional Analysis | ||
| 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) | 4 | 0 | 0 |
| Outside Class | |||
| a) Reading | 4 | 15 | 60 |
| b) Search in internet/Library | 4 | 15 | 60 |
| 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 | 2 | 15 | 30 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 5 | 6 | 30 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 184 | ||