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| MAT4012 | Industrial Mathematics | 4+0+0 | ECTS:6 | | Year / Semester | Spring Semester | | Level of Course | First Cycle | | Status | Elective | | Department | DEPARTMENT of MATHEMATICS | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 4 hours of lectures per week | | Lecturer | Prof. Dr. Erhan COŞKUN | | Co-Lecturer | None | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | This course aims to provide students with general information on mathematical modelling and analysis of problems arising in industrial fields. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | formulate a mathematical model for an elementary level industrial problem | 4,5,6,7 | 1, | | LO - 2 : | determine the best method for analysing the model | 4,5,6,7 | 1, | | LO - 3 : | analyse the model with the chosen method | 4,5,6,7 | 1, | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome | | |
| Industrial mathematics and mathematical problems industry, Leontief input-output model, Typical optimization problems, geometric approach, algebraic approach: Simplex method, Dual problem, Two phase simplex method, Discrete Fourier transform and applications, Convolution and image applications, Mathematics of Tomography, Mathematics of GPS. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Mathematical problems in industry | | | Week 2 | Leontief input-output model | | | Week 3 | Optimization problems | | | Week 4 | Solving optimization problems using geometrical approach | | | Week 5 | Solving optimization problems using simplex method | | | Week 6 | Dual problems | | | Week 7 | Two phase simplex method | | | Week 8 | Solving optimization problems using MATLAB/Octave | | | Week 9 | Mid-term | | | Week 10 | Discrete Fourier and Fast Fourier transform | | | Week 11 | Extracting signal components with Fourier Transform | | | Week 12 | Convolution | | | Week 13 | Image processing with convolution | | | Week 14 | Mathematics of tomography | | | Week 15 | Mathematics of GPS | | | Week 16 | End-of-term exam | | | |
| 1 | Erhan Coşkun, Endüstriyel Matematik Ders Notu(URL:erhancoskun.com.tr) | | | |
| 1 | Avner Friedman, 1987, Industrial Mathematics(A course solving real problems) SIAM. | | | 2 | Charles MacCluer, 1999, Industrial Mathematics, Prentice hall. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 10/04/2022 | 2 | 50 | | End-of-term exam | 17 | 06/06/2022 | 2 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 4 | 14 | 56 | | Sınıf dışı çalışma | 3 | 14 | 42 | | Arasınav için hazırlık | 30 | 1 | 30 | | Arasınav | 2 | 1 | 2 | | Kısa sınav | 2 | 1 | 2 | | Dönem sonu sınavı için hazırlık | 40 | 1 | 40 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 174 |
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