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 | HAYRULLAH ÖZİMAMOĞLU (h.ozimamoglu@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | HAYRULLAH ÖZİMAMOĞLU, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| To teach the basic concepts of coding theory and to show the application areas of linear algebra to students | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Learn the basic concepts of coding theory. |
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 |
| LO-2 | Perceive that coding theory is an application area of linear algebra. |
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-4 Analytically use the interdisciplinary approach at learning process. PO-9 Develop vocational projects and activities and apply them. |
Examination |
| LO-3 | Known that technologies error correction codes solve the problems which caused by communication in today's communication. |
PO-3 Define the some models of mathematical problems, evaluate with a critical approach, analyze with theoretical and applied knowledge. PO-5 Develop suitable material for a subject on a mathematical area, to use the knowledge and experience gains with different methods PO-7 Have the knowledge to determine the needs related to his area and to direct his learning and use exclusively computer technologies with software. |
Examination |
| LO-4 | Learn the various codes in coding theory and the properties of these codes. |
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. PO-5 Develop suitable material for a subject on a mathematical area, to use the knowledge and experience gains with different methods |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Finite fields, vector spaces, polynomial rings, minimal polynomials, primitive polynomials, group codes, polynomial codes, error correcting codes, Hamming codes, linear codes, equivalence in linear codes, Golay codes, Reed-Muller codes, Cyclic codes, BCH codes, Reed-Solomon codes | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Basic concepts about coding theory | Oral presentation |
| 2 | Finite fields, vector spaces | Lecturing |
| 3 | Polynomial rings, minimal polynomials, primitive polynomials | Lecturing |
| 4 | Group codes | Lecturing |
| 5 | Polynomial codes | Lecturing |
| 6 | Error correcting codes | Lecturing |
| 7 | Hamming codes | Lecturing |
| 8 | mid-term exam | |
| 9 | Linear codes | Lecturing |
| 10 | Linear codes | Lecturing |
| 11 | Equivalence in linear codes | Lecturing |
| 12 | Golay codes | Lecturing |
| 13 | Reed-Muller codes | Lecturing |
| 14 | Cyclic codes | Lecturing |
| 15 | BCH codes, Reed-Solomon codes | Lecturing |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Vermani LR. Elements of Algebraic Coding Theory. India. 1996. | |
| 2 | R. M. Roth, Introduction to Coding Theory, Cambridge University Press, 2006. | |
| 3 | S. Ling, C. Xing, Coding Theory, A first course, Cambridge University Press, 2004. | |
| 4 | Sarah Spence Adams. Introduction to algebraic coding theory, 2008. | |
| Required Course instruments and materials | ||
| Lecture 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 | 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 | 4 | 14 | 56 |
| 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 | 4 | 4 | 16 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 5 | 4 | 20 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 180 | ||