| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | G209B2 | Differential Equations | Compulsory | 2 | 3 | 4 |
|
| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| To promote the students to develop an analytical mind. To promote the students to apply the principles of differential equations to solving enginnering problems & to problems in applied sciences |
| Name of Lecturer(s) |
|
| Learning Outcomes |
| 1 | Formulate mathematical models for a variety of problems | | 2 | Solve the model using analytical, qualitative and partically some numerical methods | | 3 | Interprate the solution within the concept of the phenomenon being modeled | | 4 | Obtain solution for models studied within the scope of the course | | 5 | Will learn the physical applications of differential equations. | | 6 | Can find solutions of homogeneous and inhomogeneous differential equations with variable coefficients. | | 7 | Can obtain series solutions of differential equations around ordinary point. | | 8 | Will learn the solution of differential equations by Laplace transform method. |
|
| Mode of Delivery |
| Normal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| Solution of 1 st order differential equations with applications, Solution of higher order differential equations with applications, Solution of systems of differential equations with applications, partial differential equations |
| Weekly Detailed Course Contents |
|
| 1 | Classification of differential equations | | | | 2 | Solution of differential equations | | | | 3 | Higher order differential equations | | | | 4 | Solution of higher order differential equations | | | | 5 | Systems of differential equations | | | | 6 | Application of differential equations to engineering problems | | | | 7 | Partial differential equations | | | | 8 | MIDTERM | | | | 9 | First order partial differential equations | | | | 10 | Higher order differential equations | | | | 11 | Applications of partial differential equations | | | | 12 | Dalga denklemi, ısı denklemi ve çözümleri | | | | 13 | Laplace equation & initial value problems | | | | 14 | Mathematical modeling of engineering problems | | | | 15 | Mathematical modeling of engineering problems | | |
|
| Recommended or Required Reading |
| 1. Diferensiyel Denklemler . Talat TUNCER 2. Dif.Equations , Sheplas L.Roc 3. Dif.Equations, Lecture notes, Ş.Alper, A.Erkip, A.Yazıcı 4. Diferensiyel Denklemler , Scham Series 5. Ordinary Dif. Equations E.L.İncew 6. Diferensiyel Denklemler Teorisi , Gökhan Ezgören |
| 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 | 40 | | End Of Term (or Year) Learning Activities | 60 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | None |
|
| Workload Calculation |
|
| Midterm Examination | 1 | 2 | 2 |
| Final Examination | 1 | 6 | 6 |
| Attending Lectures | 14 | 3 | 42 |
| Self Study | 10 | 4 | 40 |
| Reading | 10 | 3 | 30 |
|
| Contribution of Learning Outcomes to Programme Outcomes |
| LO1 | 4 | 4 | 4 | 4 | 4 | 4 | | LO2 | 3 | 4 | 3 | 4 | 3 | 4 | | LO3 | 4 | 4 | 4 | 3 | 4 | 4 | | LO4 | 4 | 4 | 4 | 3 | 4 | 4 | | LO5 | 5 | 5 | 4 | 4 | 4 | 4 | | LO6 | 3 | 3 | 4 | 4 | 3 | 3 | | LO7 | 3 | 3 | 3 | 3 | 3 | 3 | | LO8 | 3 | 3 | 3 | 3 | 3 | 3 |
|
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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