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Information
| Code | TBB526 |
| Name | Mathematical Approaches and Solutions in Modelling |
| Term | 2024-2025 Academic Year |
| Semester | . Semester |
| Duration (T+A) | 2-1 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 2.5 National Credit |
| Teaching Language | Türkçe |
| Level | Yüksek Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. ALKHAN SARIYEV |
Course Goal / Objective
To explain modeling techniques; Classify empirical and deterministic models; To produce a mathematical model of measured data; Explain the beginning of dynamic modes and boundary conditions; To explain numerical analysis of mathematical models
Course Content
Empirical and semi-empirical models. Development of empirical models based on data and selection of parameters. Least squares method, interpolation and appraximation applications. Evaluation of the improved model. Agroecosystem models with dynamic model and parabolic type differential equations. Beginning of mathematical models and boundary conditions and numerical solution methods
Course Precondition
No prerequisites
Resources
Mathematical Modeling: Approaches for Model Solution
Notes
other related publications
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Adopts the development of modeling and modeling techniques of agroecosystem models |
| LO02 | Gains knowledge about empirical and semi-empirical and deterministic models |
| LO03 | Learn about dynamic models and define the beginning of mathematical models and boundary conditions and learns numerical solution methods of the model |
| LO04 | Learns concepts such as differential, integral and limit |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Has skills on developing and implementing new ideas on the use of soils in accordance with the natural and technical soil classification systems and the principle of sustainability by using the theoretical and practical knowledge in the field of Soil Science and Plant Nutrition and applying to other related disciplines, as well. | 3 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Gains the knowledge in the point of developing new ideas and techniques and appliying them to the practice for plant nutrients and their applications that provide healthy nutrieon of plants for a high quality and economic crop production by linking the theoretical and practical knowledge in the field of Soil Science and Plant Nutrition to the relevant fields of science | |
| PLO03 | Beceriler - Bilişsel, Uygulamalı | Plans and implements a research that may present solutions to existing problems and/or makes judgments using available knowledge in order to analyze the development and change processes in which soils are in place and fulfill the requirements of sustainable agriculture principles by linking relevenat fields of science. | |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Has ability to prepare and implement projects in order to solve the problems encountered in ensuring that the plants can be fed regularly in a soil or soilless medium, by covering other disciplines, and rovides solutions by making a status determination. | |
| PLO05 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Is able to prepare independent projects to solve problems related to his/her profession or to lead the team works if needed. | |
| PLO06 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Recognizes the problems that may arise and unpredictable in the field of expertise and takes responsibility with new strategies to be developed for the solution. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Is able to critically evaluate the information related to the field and to carry out advanced studies independently. | |
| PLO08 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Has skills to access information and for this purpose to do resource search and to use databases and other information sources. | |
| PLO09 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Conveys the innovations in her/his field and her/his works systematically in written, oral, and visual in Turkish and in English (at a minimum level of B2) as well. | |
| PLO10 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Examines social relations and the norms that direct these relations from a critical point of view and takes action to improve them. | |
| PLO11 | Yetkinlikler - Alana Özgü Yetkinlik | Develops strategy, policy and implementation plans related to the field and evaluates the obtained results within the framework of quality processes. | |
| PLO12 | Yetkinlikler - Alana Özgü Yetkinlik | Observes social, scientific and ethical values in the stages of collection, interpretation and announcement of data related to the study area, supervises and controls them. | |
| PLO13 | Yetkinlikler - Alana Özgü Yetkinlik | Carries her/his knowledge in the field and problem solving skills to interdisciplinary studies. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Stochastic and deterministic models. | Modeling techniques and mathematical background information, computer programming | Öğretim Yöntemleri: Anlatım |
| 2 | Development of empirical and semi-empirical models based on data and selection of parameters. | Modeling techniques and mathematical background information, computer programming | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 3 | Equalization method, linearization method and least squares method and applications | Modeling techniques and mathematical background information, computer programming | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 4 | Interpolation and apparximation methods in model development | Modeling techniques and mathematical background information, computer programming | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 5 | Graphical analysis of models and techniques of developing models with 2-3 parameters | Modeling techniques and mathematical background information, computer programming | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 6 | Improved model error evaluation and re-improvement | Modeling techniques and mathematical background information, computer programming | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 7 | Dynamic Agroecosystem models | Modeling techniques and mathematical background information, computer programming | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Mid-Term Exam | Ölçme Yöntemleri: Ödev |
| 9 | Initial and boundary conditions of mathematical models | Modeling techniques and mathematical background information, computer programming | Öğretim Yöntemleri: Anlatım |
| 10 | Analytical and numerical solution methods of mathematical models | Modeling techniques and mathematical background information, computer programming | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 11 | Modelelrin blocks, dynamism and budget princes | Modeling techniques and mathematical background information, computer programming | Öğretim Yöntemleri: Anlatım |
| 12 | Mathematical modeling system, choosing the time and location of the system | Modeling techniques and mathematical background information, computer programming | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 13 | Development and programming of algorithms in modeling | Modeling techniques and mathematical background information, computer programming | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Benzetim |
| 14 | Modeling and simulation techniques | Modeling techniques and mathematical background information, computer programming | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Benzetim |
| 15 | Development of plant growth meodelels and simulations for product prediction | Modeling techniques and mathematical background information, computer programming | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Benzetim |
| 16 | Term Exams | Term Exams | Ölçme Yöntemleri: Ödev |
| 17 | Term Exams | Term Exams | Ölçme Yöntemleri: Ödev |
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 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 1 | 2 | 2 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 116 | ||
| Total Workload / 25 (h) | 4,64 | ||
| ECTS | 5 ECTS | ||