| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Engineering Mathematics | EEM210 | Turkish | Compulsory | 4. Semester | 3 + 0 | 3.0 | 5.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | In class |
| Course Coordinator | Dr. Öğr. Üyesi Oğuzhan DEMİRYÜREK |
| Instructor(s) | |
| Goals | To learn the concepts of vector analysis, operations with complex numbers, and Laplace transform required for electrical and electronics engineering. |
| Course Content | Vector and scalar fields, derivative of a vector function, partial derivative; Parametric representation of curves; Tangent vector, arc length; Directional derivative and gradient for a scalar function; Divergence and curl for a vector function; Laplace operator; Conservative, solenoidal, and irrotational fields; Line integrals of vector functions; Work done by a force, path independence; Surface and volume integrals; Integral theorems: divergence theorem, Stokes' theorem; Complex numbers; Laplace and inverse Laplace transforms. |
| # | Öğrenme Kazanımı |
| 1 | Ability to define vector problems in Cartesian, cylindrical and spherical coordinates; ability to perform transformations between coordinate systems. |
| 2 | Ability to use vector operators and solve vector problems. |
| 3 | Line, surface and volume integral |
| 4 | Ability to use complex numbers |
| 5 | Ability to perform Laplace and Inverse Laplace Transforms |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Scalar and vector quantities, scalar and vector field concepts, vector arithmetic. Unit and position vector | Interview, Practice, Preparation, After Class Study |
| 2. Week | Orthogonal coordinate systems; Cartesian, cylindrical coordinate systems and point and vector transformations in these systems | Practice, Preparation, After Class Study, Interview |
| 3. Week | Spherical coordinate system, point and vector representation in this system and spherical-cylindrical and spherical-Cartesian point and vector transformations | Preparation, After Class Study, Interview, Practice |
| 4. Week | Exact differential and vector derivatives, nabla operator, gradient and Laplacian concepts | Preparation, After Class Study, Practice, Interview |
| 5. Week | Vector derivatives : Divergence of a vector fields | Preparation, After Class Study |
| 6. Week | Vector derivatives : Curl of a vector fields | Preparation, After Class Study, Interview, Practice |
| 7. Week | Line, surface and volume integrals for vector fields | Practice, Interview, Preparation, After Class Study |
| 8. Week | Line, surface and volume integrals for vector fields | Preparation, After Class Study |
| 9. Week | Gauss - Ostrogradsky theorem | Preparation, After Class Study |
| 10. Week | Stokes' Theorem | Preparation, After Class Study |
| 11. Week | Complex numbers and complex plane | Preparation, After Class Study |
| 12. Week | De Moivre Theorem | Preparation, After Class Study |
| 13. Week | Laplace Transform | Preparation, After Class Study |
| 14. Week | Inverse Laplace Transform | Preparation, After Class Study |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Adequate knowledge in mathematics, science, and related engineering disciplines; ability to use theoretical and applied information in these areas to solve complex engineering problems. | ✔ | |||||
| 2 | Ability to identify, formulate, and solve complex engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose. | ✔ | |||||
| 3 | Ability to design a complex system, process, device, or product under realistic constraints and conditions to meet specific requirements; ability to apply modern design methods for this purpose. | ||||||
| 4 | Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice; ability to use information technologies effectively. | ||||||
| 6 | Ability to work effectively in disciplinary and multidisciplinary teams; ability to work individually. | ✔ | |||||
| 7 | Ability to communicate effectively both orally and in writing; knowledge of at least one foreign language; ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions. | ||||||
| 8 | Awareness of the necessity of lifelong learning; the ability to access information, to follow developments in science and technology, and to constantly renew oneself. | ||||||
| 9 | Knowledge about behaving by ethical principles, professional and ethical responsibility, and standards used in engineering practices. | ✔ | |||||
| 10 | Knowledge of business life practices such as project management, risk management, and change management; awareness of entrepreneurship, and innovation; knowledge of sustainable development. | ||||||
| 11 | Knowledge about the global and societal effects of engineering practices on health, environment, and safety and contemporary issues reflected in the field of engineering; awareness of the legal consequences of engineering solutions. | ||||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 |
|---|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 | 5 |
| PY2 | 4 | 4 | 4 | 4 | 4 |
| PY3 | 0 | 0 | 0 | 0 | 0 |
| PY4 | 0 | 0 | 0 | 0 | 0 |
| PY6 | 1 | 1 | 1 | 1 | 1 |
| PY7 | 0 | 0 | 0 | 0 | 0 |
| PY8 | 0 | 0 | 0 | 0 | 0 |
| PY9 | 2 | 2 | 2 | 2 | 2 |
| PY10 | 0 | 0 | 0 | 0 | 0 |
| PY11 | 0 | 0 | 0 | 0 | 0 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 14 | 3 | 42 |
|
Ders Dışı |
Preparation, After Class Study | 14 | 2 | 28 |
| Research | 14 | 1.5 | 21 | |
| Practice | 14 | 2 | 28 | |
| Other Activities | 1 | 4.5 | 4.5 | |
|
Sınavlar |
Midterm 1 | 1 | 2 | 2 |
| Final | 1 | 2 | 2 | |
| Total Workload | 127.5 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 5.0 | ||
