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| INS2030 | Engineering Mathematics | 4+0+0 | ECTS:5 | | Year / Semester | Spring Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of CIVIL ENGINEERING | | 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 | Lecturers | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | This course aims to provide basic tools in vector calculus, Fourier series(real and complex), method of separation of variables for solving wave, heat and laplace equation. Furthermore, an introduction to complex numbers and theory of complex functions are provided to handle engineering problems with complex data. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | gain the knowledge vector calculus | 1,2,4 | 1 | | LO - 2 : | gain the knowledge of Fourier series | 1,2,4 | 1 | | LO - 3 : | solve wave, heat and laplace equation using method of variation of parameters | 1,2,4 | 1 | | LO - 4 : | gain some knowledge of complex numbers, functions and complex integration
| 1,2,4 | 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 | | |
| Vector fields, Gradient, Divergence, Curl, Green theorem, Surface integrals, Gauss divergence theorem, Stokes theorem, Fourier series(real and complex) and their integration and derivative, Filtering signals. Solution of wave , heat and Laplace equation using separation of variables.
Complex numbers and functions, Complex integration, Cauchy thereom, Conform transformations and solution of Dirichlet problem using conform transformation.. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | | | | Week 2 | | | | Week 3 | | | | Week 4 | | | | Week 5 | | | | Week 6 | | | | Week 7 | | | | Week 8 | | | | Week 9 | | | | Week 10 | | | | Week 11 | | | | Week 12 | | | | Week 13 | | | | Week 14 | | | | Week 15 | | | | Week 16 | End-of-term exam | | | |
| 1 | Dennis G. Zill, Advanced engineering mathematics, Jones& Bartlett Lerning, 2018. | | | |
| 1 | KREYSZIG, E. 1997; Advanced Engineering Mathematics, New York. | | | 2 | Edwards, C.H., Penney, D.E. (Çeviri Ed. AKIN, Ö). 2006; Diferensiyel Denklemler ve Sınır Değer Problemleri (Bölüm 1-7), Palme Yayıncılık, Ankara. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 16/04/2025 | 2 | 50 | | End-of-term exam | 16 | 11/06/2025 | 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 | 4 | 14 | 56 | | Arasınav için hazırlık | 15 | 1 | 15 | | Arasınav | 2 | 1 | 2 | | Kısa sınav | 1 | 1 | 1 | | Dönem sonu sınavı için hazırlık | 18 | 1 | 18 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 150 |
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