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| MINE2002 | Engineering Mathematics | 2+2+0 | ECTS:4 | | Year / Semester | Spring Semester | | Level of Course | First Cycle | | Status | Elective | | Department | DEPARTMENT of MINING ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 2 hours of lectures and 2 hours of practicals per week | | Lecturer | Prof. Dr. Selçuk Han AYDIN | | Co-Lecturer | None | | Language of instruction | | | Professional practise ( internship ) | None | | | | The aim of the course: | | Scope of this course is the teaching of the basic mathematical knowledge for solving the real-life engineering problems.
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| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | choose the appropriate numerical method for solving the engineering problems | 1,5 | 1 | | LO - 2 : | solve the linear equation systems with the appropriate methods | 1,5 | 1 | | LO - 3 : | learns the Fourier Series | 1,5 | 1 | | LO - 4 : | Knows the complex numbers | 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 | | |
| General introduction to engineering mathematics and numerical methods, approximation and truncation errors, roots of equations (closed-form & open methods), roots of polynomials, linear algebraic equations, curve fitting, interpolation, numerical integration, numerical differentiation.
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | General introduction and introduction to engineering mathematics. | | | Week 2 | Matrices and vectors
| | | Week 3 | System of linear equations
| | | Week 4 | Determinant and Inverse matrix | | | Week 5 | Eigenvalues and eigenvectors | | | Week 6 | Fourier series | | | Week 7 | Fourier Sine and Cosine series | | | Week 8 | Heat equation | | | Week 9 | Mid Term | | | Week 10 | Wave equation | | | Week 11 | Complex numbers | | | Week 12 | Properties of complex numbers | | | Week 13 | Complex functions | | | Week 14 | Graph of complex functions | | | Week 15 | Derivative and integrals of complex functions | | | Week 16 | Final Exam | | | |
| 1 | Chapra, S.C., ve Canale, R.P., 2010; Numerical Methods for Engineers, 6th Edition, Mc Graw Hill. | | | |
| 1 | Hoffman, J.D., 2001; Numerical Methods for Engineers and Scientists, 2nd Edition, Marcel Dekker Inc. | | | 2 | Bird, J., 2010; Engineering Mathematics, 6th Edition, Elsevier. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | | | 50 | | End-of-term exam | 16 | | | 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 | 2 | 14 | 28 | | Sınıf dışı çalışma | 7 | 14 | 98 | | Arasınav için hazırlık | 3 | 2 | 6 | | Arasınav | 2 | 1 | 2 | | Dönem sonu sınavı için hazırlık | 10 | 2 | 20 | | Dönem sonu sınavı | 3 | 1 | 3 | | Total work load | | | 157 |
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