| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Engineering Mathematics | EEM210 | 4. Semester | 3 + 0 | 3.0 | 5.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | In class |
| Course Coordinator |
Assist. Prof. Dr. Oğuzhan DEMİRYÜREK |
| Instructors |
Filiz BİRBİR ÜNAL |
| Assistants | |
| 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. |
| Learning Outcomes |
- Ability to define vector problems in Cartesian, cylindrical and spherical coordinates; ability to perform transformations between coordinate systems. - Ability to use vector operators and solve vector problems. - Line, surface and volume integral - Ability to use complex numbers - Ability to perform Laplace and Inverse Laplace Transforms |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Scalar and vector quantities, scalar and vector field concepts, vector arithmetic. Unit and position vector | Verbal Expression Course Hours Practice Preparation, After Class Study |
| 2. Week | Orthogonal coordinate systems; Cartesian, cylindrical coordinate systems and point and vector transformations in these systems | Practice Course Hours Verbal Expression Preparation, After Class Study |
| 3. Week | Spherical coordinate system, point and vector representation in this system and spherical-cylindrical and spherical-Cartesian point and vector transformations | Verbal Expression Preparation, After Class Study Practice Course Hours |
| 4. Week | Exact differential and vector derivatives, nabla operator, gradient and Laplacian concepts | Verbal Expression Practice Course Hours Preparation, After Class Study |
| 5. Week | Vector derivatives : Divergence of a vector fields | Preparation, After Class Study Course Hours |
| 6. Week | Vector derivatives : Curl of a vector fields | Verbal Expression Course Hours Preparation, After Class Study Practice |
| 7. Week | Line, surface and volume integrals for vector fields | Preparation, After Class Study Verbal Expression Course Hours Practice |
| 8. Week | Line, surface and volume integrals for vector fields | Course Hours Preparation, After Class Study |
| 9. Week | Gauss - Ostrogradsky theorem | Preparation, After Class Study Course Hours |
| 10. Week | Stokes' Theorem | Course Hours Preparation, After Class Study |
| 11. Week | Complex numbers and complex plane | Preparation, After Class Study Course Hours |
| 12. Week | De Moivre Theorem | Course Hours Preparation, After Class Study |
| 13. Week | Laplace Transform | Preparation, After Class Study Course Hours |
| 14. Week | Inverse Laplace Transform | Preparation, After Class Study Course Hours |
| F. Birbir Ünal, O. Demiryürek, Ders Notu |
| M. R. Spiegel, Vector analysis, Schaum Outline series, 2019. |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | DK5 | Measurement Method |
|---|---|---|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 | 5 | 5 | 40,60 |
| PY2 | 4 | 4 | 4 | 4 | 4 | 4 | 40,60 |
| PY3 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY4 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY6 | 1 | 0 | 0 | 0 | 0 | 0 | - |
| PY7 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY8 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY9 | 2 | 0 | 0 | 0 | 0 | 0 | - |
| PY10 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY11 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| Course's Level of contribution | None | Very Low | Low | Fair | High | Very High |
| Method of assessment/evaluation | Written exam | Oral Exams | Assignment/Project | Laboratory work | Presentation/Seminar |
| Event | Quantity | Duration (Hour) | Total Workload (Hour) |
|---|---|---|---|
| Course Hours | 14 | 3 | 42 |
| Preparation, After Class Study | 14 | 2 | 28 |
| Practice | 14 | 2 | 28 |
| Research | 14 | 1.5 | 21 |
| Other Activities | 1 | 4.5 | 4.5 |
| Midterm 1 | 1 | 2 | 2 |
| Final | 1 | 2 | 2 |
| Total Workload | 127.5 | ||
| ECTS Credit of the Course | 5.0 | ||
