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ELK2032 | Engineering Mathematics | 4+0+0 | ECTS:4 | Year / Semester | Spring Semester | Level of Course | First Cycle | Status | Compulsory | Department | DEPARTMENT of ELECTRICAL and ELECTRONICS ENGINEERING | Prerequisites and co-requisites | None | Mode of Delivery | | Contact Hours | 14 weeks - 4 hours of lectures per week | Lecturer | Prof. Dr. Kadir TÜRK | Co-Lecturer | None | Language of instruction | Turkish | Professional practise ( internship ) | None | | The aim of the course: | To obtain application methods of engineering mathematics to electrical engineering problems. |
Learning Outcomes | CTPO | TOA | Upon successful completion of the course, the students will be able to : | | | LO - 1 : | Understand application of mathematics to engineering problems. | 1,5 | 1 | LO - 2 : | Learn mathematical solution methods of engineering problems. | 1,5 | 1 | LO - 3 : | Apply engineering mathematics to solution of electrical engineering problems. | 1,5 | 1 | LO - 4 : | Describe engineering problem by mathematics. | 1,5 | 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 | |
Laplace transforms and applications to electrical engineering. Complex functions theory. Cauchy theory. Complex analysis. |
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Course Syllabus | Week | Subject | Related Notes / Files | Week 1 | Complex numbers
| | Week 2 | Simple and polar forms of Complex Numbers
| | Week 3 | Complex plane and complex arithmetic
| | Week 4 | Complex functions
| | Week 5 | Cauchy-Riemann Equations
| | Week 6 | Exponential and tirgonometric complex fumctions
| | Week 7 | Complex logarithm and powers
| | Week 8 | Complex Integration
| | Week 9 | Mid-term exam | | Week 10 | Cauchy integral theorem
| | Week 11 | Complex integral over closed path
| | Week 12 | Laplace Transform
| | Week 13 | Properties of Laplace Transform
| | Week 14 | Laplace transforms in solving typical engineering problems
| | Week 15 | Inverse Laplace Transform
| | Week 16 | End-of-term exam | | |
1 | O'Neil, Peter V. 1987; Advanced Engineering Mathematics, Wadsworth Publishing Company, California. | | |
1 | James, G. 1993; Advanced Modern Engineering Mathematics, Addision-Wesley, Wokingham. | | |
Method of Assessment | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | Mid-term exam | 9 | | 2 | 50 | End-of-term exam | 16 | | 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 | 3 | 14 | 42 | Sınıf dışı çalışma | 2 | 13 | 26 | Arasınav için hazırlık | 2 | 8 | 16 | Arasınav | 2 | 1 | 2 | Dönem sonu sınavı için hazırlık | 2 | 6 | 12 | Dönem sonu sınavı | 2 | 1 | 2 | Total work load | | | 100 |
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