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| Course Description |
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| Course Name |
: |
Mathematical Approaches in Modelling |
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| Course Code |
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TBB-526 |
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| Course Type |
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Optional |
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| Level of Course |
: |
Second Cycle |
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| Year of Study |
: |
1 |
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| Course Semester |
: |
Spring (16 Weeks) |
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| ECTS |
: |
5 |
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| Name of Lecturer(s) |
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Prof.Dr. ALHAN LATİFOĞLU SARIYEV
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| Learning Outcomes of the Course |
: |
Learns to form empirical and semi-empirical approaches in modeling and learns the basic differential solutions of equations with initial and boundary conditions.
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| Mode of Delivery |
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Face-to-Face |
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| Prerequisites and Co-Prerequisites |
: |
None |
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| Recommended Optional Programme Components |
: |
None |
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| Aim(s) of Course |
: |
Creating a mathematical model to prepare the infrastructure, carrying out mathematical and graphical analysis, teaching the techniques of interpolation and approximation. |
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| Course Contents |
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Empirical and semi-empirical models, the development of empirical models based upon data and the selection of the parameters, the lowest square method, application of interpolation, the evaluation of developed models. |
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| Language of Instruction |
: |
Turkish |
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| Work Place |
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Classroom and Computer Applications |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
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1 |
Mathematical models widely used in agro-eco system |
Gaining basic knowledge on Applied Physics, Mathematics and Acricultural Physics and Biology |
Lecture and discussion |
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2 |
Empirical and semi-empirical models-1 |
Gaining basic knowledge on Applied Physics and Mathematics |
Lecture, discussion and practice on computer |
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3 |
Empirical and semi-empirical models-2 |
Gaining basic knowledge on Applied Physics and Mathematics |
Lecture, discussion and practice on computer |
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4 |
Selecting the validity of empirical parameters. |
Gaining knowledge on Basic Mathematics |
Lecture, discussion and practice on computer |
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5 |
The least squares method-1 |
Gaining basic knowledge on Applied Physics and Mathematics |
Lecture, discussion and practice on computer |
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6 |
The least squares method-2 |
Gaining basic knowledge on Applied Physics and Mathematics |
Lecture, discussion and practice on computer |
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7 |
Data analysis and interpolation application-1 |
Gaining basic knowledge of Applied Physics and Mathematics and Computer simulation techniques |
Lecture, discussion and practice on computer |
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8 |
Data analysis and interpolation application-2 |
Gaining basic knowledge of Applied Physics and Mathematics and Computer simulation techniques |
Lecture, discussion and practice on computer |
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9 |
- |
- |
- |
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10 |
Data analysis and application of approximation |
Gaining basic knowledge of Applied Physics and Mathematics and Computer simulation techniques |
Lecture, discussion and practice on computer |
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11 |
Improved evaluation of the model |
Gaining basic knowledge of Applied Physics and Mathematics and Computer simulation techniques |
Lecture, discussion and practice on computer |
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12 |
Differential Equations |
Gaining basic knowledge of Applied Physics and Mathematics and Computer simulation techniques |
Lecture, discussion and practice on computer |
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13 |
Determination of initial and boundary conditions of Differential Equations |
Gaining basic knowledge of Applied Physics and Mathematics and Computer simulation techniques |
Lecture, discussion and practice on computer |
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14 |
Solutions of differential equations |
Gaining basic knowledge of Applied Physics and Mathematics and Computer simulation techniques |
Lecture, discussion and practice on computer |
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15 |
Numerical solutions of differential equations, finite difference method |
Gaining basic knowledge of Applied Physics and Mathematics and Computer simulation techniques |
Lecture, discussion and practice on computer |
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16/17 |
General Revision |
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- |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 1. Hanks, R.J., Ashcroft, G.L., 1985. Applied Soil Physics, Soil Water and Temperature Application. Leningrad, Gidrometoizdat, (translated from Russian), 150 pages.
2. H.F. Bondarenko, E.E. Jukovsky, I.G. Muskin, S.V. Nerpin, R.A. Poluektov, I.B. Uskov, 1982. Simulation of Agroecosystes Productivity, Russia.
3. R.R. Poluektov, 1991,Agroecosystem Dynamics Simulation, Russia.
4. F.W.T. Penning de Vries and H.H. van Laar (Eds), 1982. Simulatin of Plant Growth and Crop Production, Russia.
5. Bichle, S.H, Moldau, H.A, Ross, J. K., 1980. Mathematical Modeling of Plant Transpiration and Photosynthesis under Soil Moisture Stress. Gidrometoizdat, 223 p.
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| Required Course Material(s) | |
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Assessment Methods and Assessment Criteria |
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Semester/Year Assessments |
Number |
Contribution Percentage |
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Mid-term Exams (Written, Oral, etc.) |
1 |
80 |
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Homeworks/Projects/Others |
2 |
20 |
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Total |
100 |
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Rate of Semester/Year Assessments to Success |
40 |
| |
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Final Assessments
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100 |
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Rate of Final Assessments to Success
|
60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
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1 |
Recognising the principles of ecological farming in terms of sustainable and ecological farming, contributes to the practical use. |
1 |
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2 |
Based on the BSc adequacy, improves in Soil Science and Plant Nutrition at specialist level |
2 |
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3 |
Understands the interactions between Soil Science and Plant Nutrition and other disciplines |
1 |
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4 |
Has abilities to develop and apply new ideas by identifying the taxonomic level of soils according to natural and technical classification systems and provides sustainable uses of soils using theoretical and applied knowledge in this branch and applies them to other engineering branches. |
1 |
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5 |
Gain perfection and prepare projects in every kinds of soil, plant, fertilizer and water analyses and their interpretations |
1 |
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6 |
Increases his/her qualification to develop new techniques and ideas for plant nutrients necessary for healthy, high quality and economical plant production and to apply these techniques and ideas in practice. |
1 |
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7 |
Applies his/her knowledge on conservation of soils, protection against each kind of misuse and pollution by recognising the relations between other disciplines. |
1 |
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8 |
To analyse soils, their components or actual processes, to plan them to accomplish the requirements of sustainable agriculture principles by adding information from other branches, plans/applies a new research project which might solve an existing project or makes judgements with existing information |
1 |
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9 |
Has skills to prepare and apply a project including other disciplines and can retrieve information to solve the problems in nutrition of plants grown in every kinds of soil or soilless growth medium |
1 |
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10 |
Creates new projects to use and to develop new technologies, methods and measuring systems in Soil Science and Plant Nutrition discipline, under the scope of scientific, economic and rational uses of agricultural areas |
1 |
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11 |
Conducts a project working effectively as an individual and as a team member to solve problems related to the discipline. |
1 |
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12 |
Identifies the possible and future problems in relation to his/her professional area and takes responsibility to solve them by developing new strategies |
3 |
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13 |
Is able to get access to knowledge searching literature, databases and using other sources effectively. |
2 |
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14 |
Makes a critical evaluation of information retaled to the field and conducts advanced studies independently. |
2 |
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15 |
Transfers the current developments and their own studies to people who may need them by using different tools. |
3 |
|
16 |
Analyzes the social relations and the norms directing these relations in a critical way and takes resposibility to improve them. |
1 |
|
17 |
Can communicate in English written and orally. |
1 |
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18 |
Develops strategies, policies and application plans in the field and assess the obtained results under the scope of quality processes. |
2 |
|
19 |
Is sensitive about scientific and ethical values during the collection, interpretion and announcement of data related to their subject. Is also capable of teaching and checking them. |
2 |
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20 |
Is able to transfer the information and skills to solve a problem in the field to interdisciplinary studies. |
3 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
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Class Time (Exam weeks are excluded) |
14 |
3 |
42 |
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Out of Class Study (Preliminary Work, Practice) |
14 |
4 |
56 |
| Assesment Related Works |
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Homeworks, Projects, Others |
2 |
2 |
4 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
12 |
12 |
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Final Exam |
1 |
12 |
12 |
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Total Workload: | 126 |
| Total Workload / 25 (h): | 5.04 |
| ECTS Credit: | 5 |
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