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Information
| Code | FK026 |
| Name | Mathematical Methods in dynamical Diffusion |
| Term | 2024-2025 Academic Year |
| Term | Spring |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Yüksek Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. MEHMET KARAKILÇIK |
| Course Instructor |
1 |
Course Goal / Objective
To give general information about the mathematical methods of diffusion and to teach the calculation of diffusion coefficients in cartesian, cylindrical and spherical systems
Course Content
Diffusion equations, solution methods when the diffusion coefficient is fixed, diffusion in a plane layer, diffusion in a cylinder, diffusion in a sphere, concentration-dependent diffusion, numerical methods, some calculations for variable diffusion coefficients, measurement and identification of diffusion coefficients, non-Fickian diffusion, heterogeneous diffusion in environments.
Course Precondition
none
Resources
Mathematical Methods in Dynamic Diffusion
Notes
Textbooks, lecture notes, articles, internet resources on the subject
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Write and solve diffusion equations |
| LO02 | Explains diffusion coefficient constant |
| LO03 | Defines diffusion in a plane layer |
| LO04 | Writes and explains the cylindrical diffusion equation |
| LO05 | Writes and explains spherical diffusion equations |
| LO06 | Defines concentration-dependent diffusion |
| LO07 | Knows and analyzes numerical methods |
| LO08 | Performs some calculations for variable diffusion coefficients |
| LO09 | Writes diffusion equations and calculates coefficients |
| LO10 | Writes and explains the non-Fickian diffusion method |
| LO11 | Explains diffusion in heterogeneous environments |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Has sufficient infrastructure in various subjects of Physics. | 1 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Demonstrate the knowledge of appropriate mathematical techniques used in physics. | 2 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Interpret observational and experimental results. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Makes use of the conceptual and practical knowledge acquired in the physics field at mastery level. | 3 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Has a knowledge about the logic of scientific research. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Report the solution of a physics problem, experimental results or projects in a written format or orally. | 2 |
| PLO07 | Bilgi - Kuramsal, Olgusal | Chooses and uses the necessary publications, books and methods for a scientific research. | 2 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Accesses a knowledge about a subject in physics, does literature search and uses other sources for this purpose. | 2 |
| PLO09 | Bilgi - Kuramsal, Olgusal | Provides solutions to the problems encountered in the physics field applying research methods. | 3 |
| PLO10 | Bilgi - Kuramsal, Olgusal | Can perform an independent research. | |
| PLO11 | Bilgi - Kuramsal, Olgusal | Can perform group work effectively in a research or industrial projects. | |
| PLO12 | Bilgi - Kuramsal, Olgusal | Becomes conscious of the necessity of lifelong learning. | |
| PLO13 | Bilgi - Kuramsal, Olgusal | To keep track of the developments in physics and updates himself/herself invariably. | 1 |
| PLO14 | Bilgi - Kuramsal, Olgusal | Shares his/her ideas and suggestions for solutions to the physical problems with experts and non-experts by supporting them with quantitative and qualitative data. | 2 |
| PLO15 | Bilgi - Kuramsal, Olgusal | Can make an effective written or oral presentation of the results obtained in a study. | |
| PLO16 | Bilgi - Kuramsal, Olgusal | Makes use of the knowledge, problem solving and / or application skills acquired in the physics field in interdisciplinary studies. | 2 |
| PLO17 | Bilgi - Kuramsal, Olgusal | Has a foundation necessary to work in a research and development organizations. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Diffusion equations | Investigation of related topics in books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 2 | solution methods when the diffusion coefficient is fixed | Investigation of related topics in books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 3 | diffusion in a plane layer | Investigation of related topics in books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 4 | diffusion in a cylinder | Investigation of related topics in books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 5 | diffusion in a sphere | Investigation of related topics in books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 6 | concentration-dependent diffusion | Investigation of related topics in books | Öğretim Yöntemleri: Soru-Cevap |
| 7 | numerical methods | Investigation of related topics in books | Öğretim Yöntemleri: Soru-Cevap, Problem Çözme |
| 8 | Mid-Term Exam | Mid-Term Exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | some calculations for variable diffusion coefficients | Investigation of related topics in books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 10 | Measurement and identification of diffusion coefficients | Investigation of related topics in books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 11 | Non-Fickian diffusion, | Investigation of related topics in books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 12 | Heterogeneous diffusion in environments | Investigation of related topics in books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Problem Çözme |
| 13 | Diffusion in gas environments | Investigation of related topics in books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 14 | Diffusion in liquids | Investigation of related topics in books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 15 | Diffusion in solid environments | Investigation of related topics in books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Problem Çözme |
| 16 | Term Exams | General course review | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | General course review | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 5 | 70 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 15 | 15 |
| Final Exam | 1 | 30 | 30 |
| Total Workload (Hour) | 157 | ||
| Total Workload / 25 (h) | 6,28 | ||
| ECTS | 6 ECTS | ||