Syllabus ( CED 463 )
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Basic information
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Course title: |
Mathematical Modeling in Chemical Engineering |
Course code: |
CED 463 |
Lecturer: |
Assoc. Prof. Dr. Murat Oluş ÖZBEK
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ECTS credits: |
5 |
GTU credits: |
3 () |
Year, Semester: |
4, Fall |
Level of course: |
First Cycle (Undergraduate) |
Type of course: |
Technical Elective
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Language of instruction: |
English
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Mode of delivery: |
Face to face
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Pre- and co-requisites: |
MAT215 Differential Equations |
Professional practice: |
No |
Purpose of the course: |
The aim of this course is to provide students with knowledge and abilities to derive the mathematical models of the chemical engineering processes; develop related differential equations and solve them. |
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Learning outcomes
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Upon successful completion of this course, students will be able to:
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Ability to construct and solve one and two variable ODEs
Contribution to Program Outcomes
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Ability to identify, formulate, and solve Complex Engineering problems; select and apply proper modeling and analysis methods for this purpose.
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Ability to devise, select, and use modern techniques and tools needed for solving complex problems in Engineering practice; employ information technologies effectively.
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Ability to design and conduct numerical or physical experiments, collect data, analyze and interpret results for investigating the complex problems specific to Chemical Engineering.
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Develop an awareness of professional and ethical responsibility and behave accordingly. Be informed about the standards used in Chemical Engineering applications.
Method of assessment
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Written exam
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Homework assignment
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Ability to use Cartesians, cylindirical and spherical coordinates
Contribution to Program Outcomes
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Ability to identify, formulate, and solve Complex Engineering problems; select and apply proper modeling and analysis methods for this purpose.
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Ability to devise, select, and use modern techniques and tools needed for solving complex problems in Engineering practice; employ information technologies effectively.
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Ability to design and conduct numerical or physical experiments, collect data, analyze and interpret results for investigating the complex problems specific to Chemical Engineering.
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Develop an awareness of professional and ethical responsibility and behave accordingly. Be informed about the standards used in Chemical Engineering applications.
Method of assessment
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Written exam
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Homework assignment
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Ability to construct and solve one and two variable PDEs
Contribution to Program Outcomes
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Ability to identify, formulate, and solve Complex Engineering problems; select and apply proper modeling and analysis methods for this purpose.
-
Ability to devise, select, and use modern techniques and tools needed for solving complex problems in Engineering practice; employ information technologies effectively.
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Ability to design and conduct numerical or physical experiments, collect data, analyze and interpret results for investigating the complex problems specific to Chemical Engineering.
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Develop an awareness of professional and ethical responsibility and behave accordingly. Be informed about the standards used in Chemical Engineering applications.
Method of assessment
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Written exam
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Homework assignment
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Contents
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Week 1: |
Review of Mathematical preliminaries Introduction to GNU OCTAVE |
Week 2: |
Introduction to mathematical models Introduction to batch and continuous systems
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Week 3: |
Non-interacting macro systems : 1 variable ODEs Momentum transfer problems.
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Week 4: |
Non-interacting macro systems : 1 variable ODEs Energy transfer problems. Quiz I |
Week 5: |
Non-interacting macro systems : 1 variable ODEs Mass transfer problems.
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Week 6: |
Interacting macro systems: 2 variable ODEs
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Week 7: |
Introduction to Cartesian, cylindirical and spherical coordinates Midterm Exam I |
Week 8: |
Introduction to Cartesian, cylindirical and spherical coordinates
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Week 9: |
Single variable micro systems : One variable PDEs of first and second order Momentum transfer problems Quiz II |
Week 10: |
Single variable micro systems : One variable PDEs of first and second order Momentum transfer problems |
Week 11: |
Single variable micro systems : One variable PDEs of first and second order Energy transfer problems
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Week 12: |
Single variable micro systems : One variable PDEs of first and second order Energy transfer problems Misterm Exam II |
Week 13: |
Single variable micro systems : One variable PDEs of first and second order Mass transfer problems
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Week 14: |
Single variable micro systems : One variable PDEs of first and second order Mass transfer problems
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Week 15*: |
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Week 16*: |
Final Exam |
Textbooks and materials: |
1) Ders Notları 2) İ. Tosun, “Modelling in transport phenomena”, Elsevier
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Recommended readings: |
Mustafa Özilgen, “Handbook of Food Process Modeling and Statistical Quality Control “ , 2nd ed., CRC Press,2011 |
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* Between 15th and 16th weeks is there a free week for students to prepare for final exam.
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Assessment
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Method of assessment |
Week number |
Weight (%) |
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Mid-terms: |
8, 12 |
40 |
Other in-term studies: |
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0 |
Project: |
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0 |
Homework: |
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0 |
Quiz: |
4, 9 |
20 |
Final exam: |
16 |
40 |
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Total weight: |
(%) |
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Workload
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Activity |
Duration (Hours per week) |
Total number of weeks |
Total hours in term |
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Courses (Face-to-face teaching): |
3 |
14 |
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Own studies outside class: |
4 |
13 |
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Practice, Recitation: |
0 |
0 |
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Homework: |
4 |
1 |
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Term project: |
0 |
0 |
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Term project presentation: |
0 |
0 |
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Quiz: |
1 |
2 |
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Own study for mid-term exam: |
7 |
2 |
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Mid-term: |
2 |
2 |
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Personal studies for final exam: |
10 |
1 |
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Final exam: |
2 |
1 |
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Total workload: |
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Total ECTS credits: |
* |
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* ECTS credit is calculated by dividing total workload by 25. (1 ECTS = 25 work hours)
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