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 | ESMA DEMİR ÇETİN (esma.demir@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | ESMA DEMİR ÇETİN, ÇAĞLA RAMİS, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| Giving basic information about Fractal geometry that the student will need during undergraduate and graduate education. And to figure out how to go about solving problems. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Learn Euclidean and non-Euclidean geometric structures. |
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-5 Develop suitable material for a subject on a mathematical area, to use the knowledge and experience gains with different methods |
Examination Performance Project |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Definition of fractal and its history, Known fractal samples, Sierpinski, Koch snowflake, Polygon and circle fractals, Space filled curves, Historical park fractal, Transformation in plane I, measures, reflections, Transformation in plane II, translations, reduction, Self similarity in fractals, Dimension in special fractals, Fractional dimension, Koch curve and calculation its dimension, Dimension of Minkowski fractal, Haussdorf dimension, Dimension with counting boxes, Similarity dimension, Lenght of fractal curves | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Definition of fractal and its history | Speech, Problem Solving |
| 2 | Known fractal samples, Sierpinski, Koch snowflake | Speech, Problem Solving |
| 3 | Polygon and circle fractals, Space filled curves, Historical park fractal | Speech, Problem Solving |
| 4 | Transformation in plane I, measures, reflections | Speech, Problem Solving |
| 5 | Transformation in plane II, translations, reduction | Speech, Problem Solving |
| 6 | Self similarity in fractals | Speech, Problem Solving |
| 7 | Dimension in special fractals | Speech, Problem Solving |
| 8 | mid-term exam | |
| 9 | Fractional dimension | Speech, Problem Solving |
| 10 | Koch curve and calculation its dimension | Speech, Problem Solving |
| 11 | Dimension of Minkowski fractal | Speech, Problem Solving |
| 12 | Haussdorf dimension | Speech, Problem Solving |
| 13 | Dimension with counting boxes | Speech, Problem Solving |
| 14 | Similarity dimension | Speech, Problem Solving |
| 15 | Lenght of fractal curves | Speech, Problem Solving |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Hacısalihoğlu, H.Hilmi. Fraktal Geometri, Ankara Üniversitesi Fen Fakültesi, Matematik Bölümü.,2004. | |
| 2 | B. Mandelbrot, The Fractal Geometry of Nature, W. H. Freeman and Company; 1St Edition edition,1982. | |
| Required Course instruments and materials | ||
| 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 | 0 | ||
| b) Search in internet/Library | 1 | 14 | 14 |
| c) Performance Project | 0 | ||
| d) Prepare a workshop/Presentation/Report | 0 | ||
| e) Term paper/Project | 1 | 5 | 5 |
| Oral Examination | 0 | ||
| Quiz | 0 | ||
| Laboratory exam | 0 | ||
| Own study for mid-term exam | 3 | 14 | 42 |
| mid-term exam | 1 | 14 | 14 |
| Own study for final exam | 3 | 14 | 42 |
| final exam | 1 | 14 | 14 |
| 0 | |||
| 0 | |||
| Total work load; | 187 | ||