Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 1 / Fall 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 | SEZER SORGUN (ssorgun@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | |||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| The purpose of this course is to gain information and skills related with recurrence and inverse relations. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | can explain the basic concepts of recurrence and inverse relations. |
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-5 Ability to gain qualifications based on basic mathematical skills, problem solving, reasoning, association and generalization. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Recurrence, Inverse Relations | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Basic definitions about recurrence | Oral Representation, Questioning- Answering, Problem Solving |
| 2 | Basic relations for binomial coefficients | Oral Representation, Questioning- Answering, Problem Solving |
| 3 | Iterations of the basic recurrence | Oral Representation, Questioning- Answering, Problem Solving |
| 4 | Some expansion formulas | Oral Representation, Questioning- Answering, Problem Solving |
| 5 | Multinomial Abel identities | Oral Representation, Questioning- Answering, Problem Solving |
| 6 | The simplest inverse relations | Oral Representation, Questioning- Answering, Problem Solving |
| 7 | A class of inverse relations | Oral Representation, Questioning- Answering, Problem Solving |
| 8 | mid-term exam | |
| 9 | Chebyshev types | Oral Representation, Questioning- Answering, Problem Solving |
| 10 | Legendre types | Oral Representation, Questioning- Answering, Problem Solving |
| 11 | Abel inverse relations | Oral Representation, Questioning- Answering, Problem Solving |
| 12 | Generating functions | Oral Representation, Questioning- Answering, Problem Solving |
| 13 | Generating functions | Oral Representation, Questioning- Answering, Problem Solving |
| 14 | Exponential generating functions | Oral Representation, Questioning- Answering, Problem Solving |
| 15 | Multinomial inverses | Oral Representation, Questioning- Answering, Problem Solving |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Riordan, John. Combinatorial identities. Vol. 6. New York: Wiley, 1968. | |
| Required Course instruments and materials | ||
| Course book and laptop | ||
| 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) | 3 | 14 | 42 |
| Outside Class | |||
| a) Reading | 3 | 13 | 39 |
| b) Search in internet/Library | 2 | 13 | 26 |
| 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 | 3 | 8 | 24 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 3 | 15 | 45 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 180 | ||