Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 4 / Spring 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 the various geometric concepts. |
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 | ||
| Moran equation and other dimensions, Fractal applications in nature I, human body, Fractal applications in nature II, plants, Fractal applications in nature III, galaxies, ring of Saturn, Fractal applications in nature IV, population increase, clouds, Repeat with the generator, L-systems, Repeat functional systems, Chaos play, Random TFS algorithm, Repeat with formulas, Foreign attractors, Complex repetition, Separation of clauses from Julia type, Julia sentences, Similarity dimension, Mandelbrot sentences | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Moran equation and other dimensions | Speech, Problem Solving |
| 2 | Fractal applications in nature I, human body | Speech, Problem Solving |
| 3 | Fractal applications in nature II, plants | Speech, Problem Solving |
| 4 | Fractal applications in nature III, galaxies, ring of Saturn | Speech, Problem Solving |
| 5 | Fractal applications in nature IV, population increase, clouds | Speech, Problem Solving |
| 6 | Repeat with the generator, L-systems | Speech, Problem Solving |
| 7 | Repeat functional systems | Speech, Problem Solving |
| 8 | mid-term exam | |
| 9 | Chaos play | Speech, Problem Solving |
| 10 | Random TFS algorithm | Speech, Problem Solving |
| 11 | Repeat with formulas, Foreign attractors | Speech, Problem Solving |
| 12 | Complex repetition, Separation of clauses from Julia type | Speech, Problem Solving |
| 13 | Julia sentences | Speech, Problem Solving |
| 14 | Similarity dimension | Speech, Problem Solving |
| 15 | Mandelbrot sentences | 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 | ||