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Syllabus ( CED 463 )


   Basic information
Course title: Mathematical Modeling in Chemical Engineering
Course code: CED 463
Lecturer: Assoc. Prof. Dr. Murat Oluş ÖZBEK
ECTS credits: 5
GTU credits: 3 ()
Year, Semester: 4, Fall
Level of course: First Cycle (Undergraduate)
Type of course: Technical Elective
Language of instruction: English
Mode of delivery: Face to face
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.
   Learning outcomes Up

Upon successful completion of this course, students will be able to:

  1. Ability to construct and solve one and two variable ODEs

    Contribution to Program Outcomes

    1. Ability to identify, formulate, and solve Complex Engineering problems; select and apply proper modeling and analysis methods for this purpose.
    2. Ability to devise, select, and use modern techniques and tools needed for solving complex problems in Engineering practice; employ information technologies effectively.
    3. Ability to design and conduct numerical or physical experiments, collect data, analyze and interpret results for investigating the complex problems specific to Chemical Engineering.
    4. Develop an awareness of professional and ethical responsibility and behave accordingly. Be informed about the standards used in Chemical Engineering applications.

    Method of assessment

    1. Written exam
    2. Homework assignment
  2. Ability to use Cartesians, cylindirical and spherical coordinates

    Contribution to Program Outcomes

    1. Ability to identify, formulate, and solve Complex Engineering problems; select and apply proper modeling and analysis methods for this purpose.
    2. Ability to devise, select, and use modern techniques and tools needed for solving complex problems in Engineering practice; employ information technologies effectively.
    3. Ability to design and conduct numerical or physical experiments, collect data, analyze and interpret results for investigating the complex problems specific to Chemical Engineering.
    4. Develop an awareness of professional and ethical responsibility and behave accordingly. Be informed about the standards used in Chemical Engineering applications.

    Method of assessment

    1. Written exam
    2. Homework assignment
  3. Ability to construct and solve one and two variable PDEs

    Contribution to Program Outcomes

    1. Ability to identify, formulate, and solve Complex Engineering problems; select and apply proper modeling and analysis methods for this purpose.
    2. Ability to devise, select, and use modern techniques and tools needed for solving complex problems in Engineering practice; employ information technologies effectively.
    3. Ability to design and conduct numerical or physical experiments, collect data, analyze and interpret results for investigating the complex problems specific to Chemical Engineering.
    4. Develop an awareness of professional and ethical responsibility and behave accordingly. Be informed about the standards used in Chemical Engineering applications.

    Method of assessment

    1. Written exam
    2. Homework assignment
   Contents Up
Week 1: Review of Mathematical preliminaries
Introduction to GNU OCTAVE
Week 2: Introduction to mathematical models
Introduction to batch and continuous systems
Week 3: Non-interacting macro systems : 1 variable ODEs
Momentum transfer problems.

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.
Week 6: Interacting macro systems: 2 variable ODEs
Week 7: Introduction to Cartesian, cylindirical and spherical coordinates
Midterm Exam I
Week 8: Introduction to Cartesian, cylindirical and spherical coordinates
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
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
Week 14: Single variable micro systems : One variable PDEs of first and second order
Mass transfer problems
Week 15*: -
Week 16*: Final Exam
Textbooks and materials: 1) Ders Notları
2) İ. Tosun, “Modelling in transport phenomena”, Elsevier
Recommended readings: Mustafa Özilgen, “Handbook of Food Process Modeling and Statistical Quality Control “ , 2nd ed., CRC Press,2011
  * Between 15th and 16th weeks is there a free week for students to prepare for final exam.
Assessment Up
Method of assessment Week number Weight (%)
Mid-terms: 8, 12 40
Other in-term studies: 0
Project: 0
Homework: 0
Quiz: 4, 9 20
Final exam: 16 40
  Total weight:
(%)
   Workload Up
Activity Duration (Hours per week) Total number of weeks Total hours in term
Courses (Face-to-face teaching): 3 14
Own studies outside class: 4 13
Practice, Recitation: 0 0
Homework: 4 1
Term project: 0 0
Term project presentation: 0 0
Quiz: 1 2
Own study for mid-term exam: 7 2
Mid-term: 2 2
Personal studies for final exam: 10 1
Final exam: 2 1
    Total workload:
    Total ECTS credits:
*
  * ECTS credit is calculated by dividing total workload by 25.
(1 ECTS = 25 work hours)
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