| Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
|---|---|---|---|---|---|
| Mathematıcs III | MAT 215 | 3 | 3 + 0 | 3 | 3 |
| Ön Koşul Dersleri | |
| Önerilen Seçmeli Dersler | |
| Dersin Dili | Türkçe |
| Dersin Seviyesi | Lisans |
| Dersin Türü | Zorunlu |
| Dersin Koordinatörü | Prof.Dr. AKADEMİK PERSONEL |
| Dersi Verenler | |
| Dersin Yardımcıları | Research Assistants in mathematics department |
| Dersin Kategorisi | Diğer |
| Dersin Amacı | To introduce differential equations and to solve the problems arising in engineering and science |
| Dersin İçeriği | Classification of Differential Equations and Their Solutions, First Order Equations, High Order Equations, The Homogeneous Linear Equations with Constant Coefficients |
| # | Ders Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
|---|---|---|---|
| 1 | He/She Recognizes differential equation | Lecture, Problem Solving, Question-Answer, Discussion, Drilland Practice, | Testing, Homework, |
| 2 | He/She Classifies differential equations | Drilland Practice, Discussion, Question-Answer, Problem Solving, Lecture, | Homework, Testing, |
| 3 | He/She Finds equation which solution is known | Lecture, Problem Solving, Question-Answer, Discussion, Drilland Practice, | Testing, Homework, |
| 4 | He/She Recognizes and solves first order equation | Drilland Practice, Discussion, Question-Answer, Problem Solving, Lecture, | Homework, Testing, |
| 5 | He/She Finds a curve which cuts another curve | Lecture, Problem Solving, Question-Answer, Discussion, Drilland Practice, | Testing, Homework, |
| 6 | He/She Recognizes high order equation | Drilland Practice, Discussion, Question-Answer, Problem Solving, Lecture, | Homework, Testing, |
| 7 | He/She Finds a solution linear homogenous equation with constant coefficient | Lecture, Problem Solving, Question-Answer, Discussion, Drilland Practice, | Testing, Homework, |
| 8 | He/She Finds a solution linear nonhomogenous equation with constant coefficient | Drilland Practice, Discussion, Question-Answer, Problem Solving, Lecture, | Homework, Testing, |
| Hafta | Ders Konuları | Ön Hazırlık |
|---|---|---|
| 1 | Definition and Classification of Differential quations | |
| 2 | Seperable Equations and Equations Reducible to This Form | |
| 3 | Homogeneous Differential Equations | |
| 4 | Exact Differential Equations and Integrating Factors | |
| 5 | Linear Equations | |
| 6 | Bernoulli Equations | |
| 7 | Riccati Equations | |
| 8 | First Order Higher Degree Differential Equations.Clairaut Equations | |
| 9 | First Order Higher Degree Differential Equations.Clairaut Equations | |
| 10 | Lagrange Equations, Orthogonal and Oblique Trajectories | |
| 11 | The Homogeneity of a Linear Equation with Constant Coefficients | |
| 12 | The Homogeneity of a Linear Equation with Constant Coefficients | |
| 13 | The Method of Undetermined Coefficients | |
| 14 | Variation of Parameters |
| Kaynaklar | |
|---|---|
| Ders Notu | |
| Ders Kaynakları | |
| Sıra | Program Çıktıları | Katkı Düzeyi | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Having necessary knowledge and skills for performing his/her proficiency in the subject of motor Technologies and basic manufacturing processes | X | |||||
| 2 | Having the latest knowledge and skills for theoretical and practical applications of motor systems and principals | ||||||
| 3 | Having the latest knowledge and skills for theoretical and practical applications of vehicle systems | ||||||
| 4 | Having the latest knowledge and skills for performing tests, control and maintenance of motor/vehicle systems and hardware | ||||||
| 5 | Having the latest knowledge and skills for diagnostics and renovation processes of vehicle/motor systems | ||||||
| 6 | Having the latest knowledge in Science and Engineering | X | |||||
| 7 | Having the latest knowledge and skills in the area of electric-electronic-computer for performing tasks related to his/her proficiency | ||||||
| 8 | Having foreign language skills and knowledge for making tasks related to his/her proficiency | ||||||
| 9 | Having the latest knowledge and skills for making design and research projects in his/her area | X | |||||
| 10 | Having the latest knowledge and skills in the area of servicing/management/job security related to his/her proficiency | ||||||
| 11 | Having the latest knowledge and skills for performing tasks in teaching and education in his/her area | ||||||
| 12 | Having necessary knowledge for performing tasks in the automobile industry | ||||||
| Değerlendirme Sistemi | |
|---|---|
| Yarıyıl Çalışmaları | Katkı Oranı |
| 1. Ara Sınav | 70 |
| 1. Kısa Sınav | 10 |
| 1. Ödev | 10 |
| 2. Kısa Sınav | 10 |
| Toplam | 100 |
| 1. Yıl İçinin Başarıya | 50 |
| 1. Final | 50 |
| Toplam | 100 |
| AKTS - İş Yükü Etkinlik | Sayı | Süre (Saat) | Toplam İş Yükü (Saat) |
|---|---|---|---|
| Course Duration (Including the exam week: 16x Total course hours) | 16 | 3 | 48 |
| Hours for off-the-classroom study (Pre-study, practice) | 16 | 1 | 16 |
| Mid-terms | 1 | 3 | 3 |
| Quiz | 2 | 2 | 4 |
| Assignment | 1 | 2 | 2 |
| Final examination | 1 | 5 | 5 |
| Toplam İş Yükü | 78 | ||
| Toplam İş Yükü / 25 (Saat) | 3,12 | ||
| Dersin AKTS Kredisi | 3 | ||