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Information
| Code | KM0057 |
| Name | Mathematical Modeling for Industrial Chemical Applications |
| Term | 2023-2024 Academic Year |
| Term | Fall |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Doktora Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | |
| Course Instructor |
1 |
Course Goal / Objective
The purpose of this course is to develop mathematical skills specific to the types of problems seen in chemistry, specifically industrial applications.
Course Content
The course will concentrate on both the specifics of the mathematical techniques and the practice of developing mathematical models from physical systems. The course will emphasize on the following: ordinary and partial differential equations. Techniques covered will include mathematical modeling, scaling, dimensional analysis, asymptotic analysis, stability analysis.
Course Precondition
None
Resources
Ders notları
Notes
Yates P., Chemical Calculations Mathematics for Chemistry, 2007, ISBN:9780849391644
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Understanding basic topics of mathematical methods in problem solving |
| LO02 | Acquires skills for mathematical modeling of physical systems |
| LO03 | Solving problems in chemistry and industrial applications using modeling skills |
| LO04 | Understands d-construction of empirical models. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | By developing current and advanced knowledge in the field with original thought and research, it reaches data that will bring innovation to its field. | 4 |
| PLO02 | Bilgi - Kuramsal, Olgusal | S/he has the knowledge to contribute to the chemistry literature. | |
| PLO03 | Beceriler - Bilişsel, Uygulamalı | Develops new methods and strategies in modeling current problems and producing problem specific solutions. | 5 |
| PLO04 | Bilgi - Kuramsal, Olgusal | It follows the developments in the field of chemistry, acts in accordance with scientific ethical rules and constantly renews itself. | 4 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Determines the necessary methods for experimental measurement and uses the instruments in accordance with the sensitivity limits. | |
| PLO06 | Yetkinlikler - Öğrenme Yetkinliği | Plans and maintains a scientific study. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Gains high level skills in using research methods in studies related to the field. | 5 |
| PLO08 | Yetkinlikler - Öğrenme Yetkinliği | Can prepare scientific articles and publish scientific articles related to the field in international refereed journals. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Have the ability to work individually and make independent decisions. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Follows directions in the field, gains the ability to analyze complex situations that may occur. | 5 |
| PLO11 | Bilgi - Kuramsal, Olgusal | S/he can organize projects and events in her/his field, and realize the stages of creating a project, executing it and reporting the results. | |
| PLO12 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Presents the results of their studies in written and oral form. Approaches environmental problems scientifically. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction to modeling topics | Lecture notes and book chapters | Öğretim Yöntemleri: Anlatım |
| 2 | Classification of models | Lecture notes and book chapters | Öğretim Yöntemleri: Anlatım |
| 3 | Balances and conservation basic subjects | Lecture notes and book chapters | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 4 | Boundary conditions and control volumes | Lecture notes and book chapters | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 5 | Empirical model building | Lecture notes and book chapters | Öğretim Yöntemleri: Anlatım |
| 6 | Dimensioning and scaling up | Lecture notes and book chapters | Öğretim Yöntemleri: Soru-Cevap |
| 7 | Strategies for mathematical modeling | Lecture notes and book chapters | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Ölçme Yöntemleri: Yazılı Sınav |
|
| 9 | Modeling examples-1 | Lecture notes and book chapters | Öğretim Yöntemleri: Anlatım |
| 10 | Modeling examples-2 | Lecture notes and book chapters | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 11 | Modeling examples-3 | Lecture notes and book chapters | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 12 | Ordinary diferentail equations | Lecture notes and book chapters | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 13 | Partial diferrential equations | Lecture notes and book chapters | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 14 | Stathistical analysis in mathematical modeling-1 | Lecture notes and book chapters | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 15 | Statistical analysis in mathematical modeling-2 | Lecture notes and book chapters | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 16 | Term Exams | Lecture notes and book chapters | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Lecture notes and book chapters | 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 | ||