| Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
|---|---|---|---|---|---|
| Dıfferentıal Equatıons | MAT 211 | 3 | 4 + 0 | 4 | 6 |
| Ön Koşul Dersleri | |
| Önerilen Seçmeli Dersler | |
| Dersin Dili | Türkçe |
| Dersin Seviyesi | Lisans |
| Dersin Türü | Zorunlu |
| Dersin Koordinatörü | Doç.Dr. MURAT SARDUVAN |
| Dersi Verenler | Doç.Dr. YALÇIN YILMAZ, Prof.Dr. ŞEVKET GÜR, |
| Dersin Yardımcıları | |
| Dersin Kategorisi | Alanına Uygun Temel Öğretim |
| Dersin Amacı | The general pourpose of this course is to provide an understanding of ordinary differential equations (ODEs), and to give methods for solving them. Because differential equations express relationships between changing quantities, this material is applicable to many fields, and is essential for students of engineering and physical sciences. |
| Dersin İçeriği | Basic concepts and classifying differential equations, First-order diffential equations and their engineering applications, Second and higher order differential equations and engineering applications, Power series solutions of linear equations with variable coefficients, Systems of linear differential equations: Scalar and Matrix methods, Laplace trasnformations, Numerical methods for ordinary differential equations. |
| # | Ders Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
|---|---|---|---|
| 1 | Define terminology which are widely employed in differential equations | Lecture, | Testing, Homework, |
| 2 | Verify that a given function is solution of a differential equation | Lecture, Discussion, | Testing, Homework, |
| 3 | Solve problems of ordinary differential equations and system of differential equations | Problem Solving, | Testing, Homework, |
| 4 | Apply knowledge of differential equations in order to solve real-world engineering problems | Lecture, | Testing, Homework, |
| Hafta | Ders Konuları | Ön Hazırlık |
|---|---|---|
| 1 | Basic Concepts and Classifying Differential Equations | |
| 2 | Solutions of First-Order Differential Equations, Linear First-Order Equations | |
| 3 | Non-Linear First Order Equations, Separable and Exact First-Order Equations, Graphical Methods | |
| 4 | Computer Methods for First-Order Equations, Engineering Applications of First-Order Differential Equations | |
| 5 | Second-Order Linear Equations: Linear Independence, Homogeneous Equations with Constant Coefficients | |
| 6 | Second-Order Linear Equations: Method of Undetermined Coefficients and Method of Variation of Parameters | |
| 7 | Second-Order Euler Equation, Computer Methods ve Second Order Linear Equations | |
| 8 | Engineering Applications of Second-Order Linear Equations | |
| 9 | Higher-Order Linear Differential Equations | |
| 10 | Linear Differential Equations with Variable Coefficients: Power Series Method | |
| 11 | System of Linear Differential Equations: Scalar Methods | |
| 12 | System of Linear Differential Equations: Matrix Methods | |
| 13 | Laplace Transform Method | |
| 14 | Introduction to Numerical Methods for First-Order Linear Equations |
| Kaynaklar | |
|---|---|
| Ders Notu | Lecture Notes |
| Ders Kaynakları | 1. Türker, E. S. ve Başarır, M., 2003, Çözümlü Problemlerle Diferansiyel Denklemler, Değişim Kitabevi, Sakarya. 2. Bronson, R.,1993, ( Turkish: Hilmi Hacısalihoğlu), Differantial Equations, Schaum´s Outlines, Nobel Kitabevi, Ankara. 3. Edwards, C. H.ve Penney, D. E., (Turkish: Ömer Akın) 2008, Differential Equations and Boundary Value Problems, Palme Yayıncılık. |
| Sıra | Program Çıktıları | Katkı Düzeyi | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | X | ||||||
| 2 | X | ||||||
| 3 | X | ||||||
| 4 | X | ||||||
| 5 | X | ||||||
| 6 | |||||||
| 7 | X | ||||||
| 8 | X | ||||||
| 9 | X | ||||||
| 10 | |||||||
| 11 | |||||||
| 12 | X | ||||||
| Değerlendirme Sistemi | |
|---|---|
| Yarıyıl Çalışmaları | Katkı Oranı |
| 1. Ara Sınav | 70 |
| 1. Kısa Sınav | 10 |
| 2. Kısa Sınav | 10 |
| 3. Kısa Sınav | 10 |
| Toplam | 100 |
| 1. Yıl İçinin Başarıya | 60 |
| 1. Final | 40 |
| Toplam | 100 |
| AKTS - İş Yükü Etkinlik | Sayı | Süre (Saat) | Toplam İş Yükü (Saat) |
|---|---|---|---|
| Course Duration (Including the exam week: 16x Total course hours) | 16 | 4 | 64 |
| Hours for off-the-classroom study (Pre-study, practice) | 16 | 4 | 64 |
| Mid-terms | 1 | 5 | 5 |
| Quiz | 2 | 5 | 10 |
| Assignment | 1 | 5 | 5 |
| Final examination | 1 | 5 | 5 |
| Toplam İş Yükü | 153 | ||
| Toplam İş Yükü / 25 (Saat) | 6,12 | ||
| Dersin AKTS Kredisi | 6 | ||