| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | İM232 | Advanced Engineering Mathematics | Elective | 1 | 2 | 6 |
|
| Level of Course Unit |
| Second Cycle |
| Objectives of the Course |
| To teach advanced mathematical methods necessary to solve complex engineering problems and to show the application of this knowledge to engineering problems. |
| Name of Lecturer(s) |
| Doç. Dr. Erdal ÖNER |
| Learning Outcomes |
| 1 | Can learn various techniques for solving ordinary and partial differential equations, which are fundamental to the modeling and analysis of dynamical systems encountered in engineering disciplines. | | 2 | Can learn Fourier series and transforms. | | 3 | Be familiar with more complex types of partial differential equations and their applications, including boundary value problems that arise in engineering contexts such as heat conduction and wave propagation. | | 4 | Can use differential equations in engineering applications. |
|
| Mode of Delivery |
| Normal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| Mathematical modeling of engineering problems. Ordinary differential equations. Solving ordinary differential equations with the help of power series. Partial differential equations. Analytical solutions of typical engineering problems in Cartesian, cylindrical and spherical coordinates. |
| Weekly Detailed Course Contents |
|
| 1 | Basic concepts of differential equations | | | | 2 | Ordinary differential equations, First Order and First Order Differential Equations | | | | 3 | Applications of First Order and First Order Differential Equations | | | | 4 | Second order differential equations | | | | 5 | Higher order linear and nonlinear differential equations | | | | 6 | Higher order linear and nonlinear differential equations | | | | 7 | Differential equation systems | | | | 8 | Mid-term exam | | | | 9 | Ordinary Differential Equations: Series solutions | | | | 10 | Ordinary Differential Equations: Series solutions | | | | 11 | Laplace and Fourier transforms | | | | 12 | Laplace and Fourier transforms | | | | 13 | Partial Differential Equations | | | | 14 | Partial Differential Equations | | | | 15 | Analytical solutions of typical engineering problems in Cartesian, cylindrical and spherical coordinates | | |
|
| Recommended or Required Reading |
| 1. Advanced Engineering Mathematics, Erwin Kreyszig (translators: Mehmet TERZİLER, Tahsin ÖNER, Gülşah ÖNER), Palme Publishing
2. Advanced Engineering Mathematics, Prof. Dr. Yaşar Pala, Nobel Academic Publishing
3. Modern Applied Differential Equations, Prof. Dr. Yaşar Pala, Nobel Academic Publishing |
| Planned Learning Activities and Teaching Methods |
|
| Assessment Methods and Criteria | |
| Midterm Examination | 1 | 100 | | SUM | 100 | |
| Final Examination | 1 | 100 | | SUM | 100 | | Term (or Year) Learning Activities | 30 | | End Of Term (or Year) Learning Activities | 70 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | None |
|
| Workload Calculation |
|
| Midterm Examination | 1 | 1 | 1 |
| Final Examination | 1 | 2 | 2 |
| Attending Lectures | 14 | 3 | 42 |
| Problem Solving | 15 | 2 | 30 |
| Self Study | 14 | 6 | 84 |
| Individual Study for Mid term Examination | 1 | 2 | 2 |
| Individual Study for Final Examination | 1 | 4 | 4 |
| Homework | 5 | 3 | 15 |
|
| Contribution of Learning Outcomes to Programme Outcomes |
| LO1 | 5 | 2 | 3 | 5 | 1 | 1 | 1 | 2 | 1 | 2 | 2 | 1 | | LO2 | 5 | 2 | 3 | 5 | 1 | 1 | 1 | 2 | 1 | 2 | 2 | 1 | | LO3 | 5 | 2 | 3 | 5 | 1 | 1 | 1 | 2 | 1 | 2 | 2 | 1 | | LO4 | 5 | 2 | 3 | 5 | 1 | 1 | 1 | 2 | 1 | 2 | 2 | 1 |
|
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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