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 | HATİCE TOPCU (hatice.kamit@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | |||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| To teach the given subjects and gain the ability to develop methods of solution of some problems by using Graphs. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Can give the knowledge about Graph Theory. |
PO-1 Fundamental theorems of about some sub-theories of Analysis, Applied Mathematics, Geometry, and Algebra can apply to new problems. |
Examination |
| LO-2 | Can attain scientific knowledge and study as independent. |
PO-1 Fundamental theorems of about some sub-theories of Analysis, Applied Mathematics, Geometry, and Algebra can apply to new problems. |
Performance Project Term Paper |
| LO-3 | Can learn algebraic properties of Graphs and have the knowledge about concepts of structural of graphs. |
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. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Graphs and Directed Graphs, Structural Concepts of Graphs and Invariants of Graphs, Graphs and Groups, Identity Graphs of Some Algebraic Structures, Graphs and Matrices, Trees, Matrix Games Based on Graphs. | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Graphs and Directed Graphs | Teaching of Topic and Applications |
| 2 | Graphs and Directed Graphs | Teaching of Topic and Applications |
| 3 | Structural Concepts of Graphs and Invariants of Graphs | Teaching of Topic and Applications |
| 4 | Structural Concepts of Graphs and Invariants of Graphs | Teaching of Topic and Applications |
| 5 | Graphs and Groups | Teaching of Topic and Applications |
| 6 | Graphs and Groups | Teaching of Topic and Applications |
| 7 | Identity Graphs of Some Algebraic Structures | Teaching of Topic and Applications |
| 8 | mid-term exam | |
| 9 | Identity Graphs of Some Algebraic Structures | Teaching of Topic and Applications |
| 10 | Graphs and Matrices | Teaching of Topic and Applications |
| 11 | Graphs and Matrices | Teaching of Topic and Applications |
| 12 | Trees | Teaching of Topic and Applications |
| 13 | Trees | Teaching of Topic and Applications |
| 14 | Matrix Games Based on Graphs | Teaching of Topic and Applications |
| 15 | Matrix Games Based on Graphs | Teaching of Topic and Applications |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | 1. Bapat R.A.(2010), Graphs and Matrices, Springer. | |
| 2 | 2. Kandasamy W.B.V., Samarandache F. (2009), Graphs As Groups, Editura CuArt. | |
| 3 | 3. Aldous J.M., Wilson R.J. (2000), Graphs and its Applications, Springer. | |
| 4 | 4. Balakrishnan V.K. (1997), Graph Theory, Schaum’s outlines. | |
| Required Course instruments and materials | ||
| The books of lecture | ||
| Assessment Methods | |||
| Type of Assessment | Week | Hours | Weight(%) |
| mid-term exam | 8 | 2 | 30 |
| Other assessment methods | |||
| 1.Oral Examination | |||
| 2.Quiz | |||
| 3.Laboratory exam | |||
| 4.Presentation | |||
| 5.Report | |||
| 6.Workshop | |||
| 7.Performance Project | 7 | 2 | 10 |
| 8.Term Paper | 14 | 2 | 10 |
| 9.Project | |||
| final exam | 16 | 2 | 50 |
| 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 | 2 | 14 | 28 |
| b) Search in internet/Library | 2 | 14 | 28 |
| c) Performance Project | 3 | 7 | 21 |
| d) Prepare a workshop/Presentation/Report | 0 | ||
| e) Term paper/Project | 3 | 7 | 21 |
| 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 | 8 | 24 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 192 | ||