| Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
|---|---|---|---|---|---|
| Theory Of Differential Equations II | MAT362 | 6. Yarıyıl | 3 + 0 | 3,0 | 6,0 |
| Ön Koşullar | Yok |
| Dersin Dili | İngilizce |
| Dersin Seviyesi | Lisans |
| Dersin Türü | Ders |
| Dersin Verilişi | Lecturing |
| Dersin Koordinatörü |
Prof. Dr. FUAT USTA |
| Dersi Verenler | |
| Dersin Yardımcıları | |
| Dersin Amacı | To learn fundamental definitions, theorems and solution methods of higher order differential equations. |
| Dersin İçeriği | Different type solutions of secodn order linear and nonlinear differential equations and their applications |
| Ders Öğrenme Kazanımları |
- To know solution methods of higher order differential equations To solve a given higher order differential equation by using suitable solution method. |
| Hafta | Konular | Öğretim Yöntemleri |
|---|---|---|
| 1. Hafta | Second order linear and nonlinear differential equations with variable coefficient | |
| 2. Hafta | Euler equation | |
| 3. Hafta | Solution with series in contiguity of ordinary point | |
| 4. Hafta | Solution with series in contiguity of regular incongruous point | |
| 5. Hafta | Legendre and Bessel Equations | |
| 6. Hafta | Laplace transformation and its properties | |
| 7. Hafta | Inverse Laplace transformation | |
| 8. Hafta | Midterm | |
| 9. Hafta | Convolution and the function of order with united | |
| 10. Hafta | Solution with Laplace transformation of constant coefficient linear differential equation | |
| 11. Hafta | Solution with Laplace transformation of constant coefficient linear differential equation | |
| 12. Hafta | Solution with Laplace transformation of constant coefficient linear systems | |
| 13. Hafta | Solution with Laplace Transformation of constant coefficient linear systems | |
| 14. Hafta | Solution of constant coefficient linear homogeneous systems |
| 1.Shepley L. Ross, Introduction to Ordinary Differential Equations, Ginn and Company, 1966 |
| 2.W.F.Boyce and R.C. Di Prima, Elementary Differential Equations, John Wiley and Sons, New York, 1977 |
| Program Yeterlilik | Katkı Düzeyi | DK1 | Ölçme Yöntemi |
|---|---|---|---|
| PY1 | 5 | 5 | 60 |
| PY2 | 1 | 1 | 60 |
| PY3 | 5 | 5 | 60 |
| PY4 | 5 | 0 | 60 |
| PY5 | 5 | 5 | 60 |
| PY6 | 5 | 5 | 60 |
| PY7 | 5 | 5 | 60 |
| PY8 | 5 | 5 | 60 |
| PY9 | 4 | 4 | 60 |
| PY10 | 4 | 4 | 60 |
| PY11 | 1 | 1 | 60 |
| PY12 | 4 | 4 | 60 |
| PY13 | 3 | 3 | 60 |
| PY14 | 4 | 4 | 60 |
| PY15 | 1 | 1 | 60 |
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| Ders Katkı Düzeyi | Yok | Çok Düşük | Düşük | Orta | Yüksek | Çok Yüksek |
| Ölçme Yöntemi | Yazılı sınav | Sözlü sınav | Ödev/Proje | Laboratuvar Çalışması | Sunum /Seminer |
| Etkinlik | Sayısı | Süresi (Saat) | Toplam İş Yükü (Saat) |
|---|---|---|---|
| Ders Saati | 14 | 3 | 42 |
| Ara Sınav 1 | 1 | 2 | 2 |
| Ödev 1 | 14 | 2 | 28 |
| Ödev 2 | 14 | 2 | 28 |
| Final | 1 | 2 | 2 |
| Uygulama | 14 | 2 | 28 |
| Sınıf İçi Etkinlik | 14 | 2 | 28 |
| Toplam İş Yükü | 158 | ||
| Dersin AKTS Kredisi | 6,0 | ||
