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 | |||||
| The purpose of this lesson is to investigate the simplest matrix in which a linear operator can be represented | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 |
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-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-10 Be able to organize events, for the development of critical and creative thinking and problem solving skills, by using appropriate methods and techniques. PO-13 Ability to use mathematical knowledge in technology. PO-15 To apply mathematical principles to real world problems. 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 | ||
| Cyclic subspaces, cyclic decompozition theorem, Generalized Caylay-Hamilton theorem, invariant factors, Jordan forms, Computations of invariant factors | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Cyclic subspaces and annihilators | |
| 2 | Cyclic decompozitions and rational forms | |
| 3 | Cyclic Decompozition Theorem | |
| 4 | Cyclic Decompozition Theorem | |
| 5 | Cyclic Decompozition Theorem | |
| 6 | Generalized Cayley- Hamilton Theorem | |
| 7 | Invariant factors | |
| 8 | mid-term exam | |
| 9 | Jordan Forms | |
| 10 | Jordan Forms | |
| 11 | Jordan Forms | |
| 12 | Computation of invariant factors | |
| 13 | Normal forms | |
| 14 | Normal forms | |
| 15 | semsimple operators | |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| Required Course instruments and materials | ||
| Lecure notes and text books | ||
| 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 | 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 | 0 | ||
| b) Search in internet/Library | 3 | 15 | 45 |
| c) Performance Project | 2 | 15 | 30 |
| 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 | 5 | 7 | 35 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 180 | ||