| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MAT4342013131 | COMBINATORICAL- II | Elective | 4 | 8 | 5 |
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| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| Introduction of countingtecniques on finitesets. |
| Name of Lecturer(s) |
| Arş. Gör. Dr. Erdinç YÜCESOY |
| Learning Outcomes |
| 1 | Studentswhosuccessfullycompletethiscourse willhaveinformationaboutcertainspecialfunctions. | | 2 | | | 3 | | | 4 | | | 5 | |
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| Mode of Delivery |
| Formal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| ThePrinciples of InclusionandExclusion, GenneratingFunctions, RecurrenceRelations, Basic Graph |
| Weekly Detailed Course Contents |
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| 1 | Integer Solutions,
| | | | 2 | ShortestRoutes,
| | | | 3 | SurjectiveMappings,
| | | | 4 | StirlingNumbers,
| | | | 5 | TheInclusionPrinciple
| | | | 6 | TheExclusionPrinciple
| | | | 7 | TheMénages’ Problem
| | | | 8 | Midtermexam
| | | | 9 | GeneratingFunctions
| | | | 10 | Partitions of Integers
| | | | 11 | LinearHomogeneousRecurrenceRelations
| | | | 12 | A System of LinearRecurrenceRelations
| | | | 13 | NonlinearRecurrenceRelations
| | | | 14 | CatalanNumbers
| | | | 15 | ExponentialGeneratingFunctions
| | | | 16 | Final exam
| | |
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| Recommended or Required Reading |
| ChenChuan-Chongand Koh Khee-Meng, PriencplesandTechniques in Combinatorics, World Scientific Publishing
Ertan Kaya, Kombinatorik, Altın Nokta Yayınları, 2013-İzmir.
Refail Alizede ve Ünal Ufuktepe, Sonlu Matematik, Alton Nokta Yayınları, 2011-İzmir.
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| Planned Learning Activities and Teaching Methods |
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| Assessment Methods and Criteria | |
| SUM | 0 | |
| SUM | 0 | | Yarıyıl (Yıl) İçi Etkinlikleri | 40 | | Yarıyıl (Yıl) Sonu Etkinlikleri | 60 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | None |
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| Workload Calculation |
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| Midterm Examination | 1 | 2 | 2 |
| Final Examination | 1 | 2 | 2 |
| Makeup Examination | 1 | 2 | 2 |
| Problem Solving | 14 | 4 | 56 |
| Brain Storming | 20 | 4 | 80 |
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| Contribution of Learning Outcomes to Programme Outcomes |
| LO1 | 4 | 4 | 5 | 5 | 5 | 3 | 3 | | LO2 | | | | | | | | | LO3 | | | | | | | | | LO4 | | | | | | | | | LO5 | | | | | | | |
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| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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