| Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
|---|---|---|---|---|---|
| Dıfferantıal Equatıons | MAT 231 | 3 | 4 + 0 | 4 | 5 |
| Ön Koşul Dersleri | |
| Önerilen Seçmeli Dersler | |
| Dersin Dili | Türkçe |
| Dersin Seviyesi | Lisans |
| Dersin Türü | Zorunlu |
| Dersin Koordinatörü | Prof.Dr. ŞEVKET GÜR |
| Dersi Verenler | Dr.Öğr.Üyesi MEHMET GÜNER, |
| Dersin Yardımcıları | |
| Dersin Kategorisi | Diğer |
| Dersin Amacı | To help students gain the fundamental knowledge of mathematıcs, mechanics and dynamics during their education. |
| Dersin İçeriği | Verifying Solutions.Foming Differantial Equations of Families of Curves.Initial Conditions, First –Order Differantial Equations, First –Order Differantial Equations with Variables Separable, First-Order Homogeneous Differantial Equations., Linear Differantial Equations, Miscellaneous Exercises on First-Order Differantial Equations, Linear Differantial Equations of Second Order with Constant Coefcients., First–Order Linear Differantial Equation, Euler´s Equation, Systems of Differantial Equation, Bernoulli’s Equation, Fourier’s Method, Integration of Differential Equations. |
| # | Ders Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
|---|---|---|---|
| 1 | Perceives the diferential methods and processes. | Lecture, Question-Answer, Drilland Practice, Problem Solving, | Testing, Homework, |
| 2 | Progress in problem solving. | Lecture, Question-Answer, Drilland Practice, Problem Solving, | Testing, Homework, |
| 3 | Applies diferantial calculations to engineering problems. | Question-Answer, Drilland Practice, Problem Solving, | Testing, Homework, |
| 4 | Gains competencies in taking derivatives. | Drilland Practice, Problem Solving, | Testing, Homework, |
| 5 | Optains the techniques for the use of the diferantials in error calculations. | Lecture, Drilland Practice, Problem Solving, | Testing, Homework, |
| 6 | Applies the rule of diferentiation to special physical problems. | Lecture, Question-Answer, Discussion, Drilland Practice, Problem Solving, | Testing, Homework, |
| Hafta | Ders Konuları | Ön Hazırlık |
|---|---|---|
| 1 | Verifying Solutions. Forming Differantial Equations of Families of Curves, Initial Conditions | |
| 2 | First –Order Differantial Equations | |
| 3 | First –Order Differantial Equations with Variables Separable. | |
| 4 | First-Order Homogeneous Differantial Equations. | |
| 5 | Linear Differantial Equations | |
| 6 | Miscellaneous Exercises on First-Order Differantial Equations. | |
| 7 | Linear Differantial Equations of Second Order with Constant Coefficients. | |
| 8 | First–Order Linear Differantial Equation | |
| 9 | MIDTERM EXAM | |
| 10 | Euler´s Equation. | |
| 11 | Systems of Differantial Equation. | |
| 12 | Bernoulli’s Equation. | |
| 13 | Fourier’s Method. | |
| 14 | Integration of Differential Equations. |
| Kaynaklar | |
|---|---|
| Ders Notu | YÜKSEK MATEMATİK Cilt 1,Prof.Dr.Ahmet A.KARADENİZ.-1996. |
| Ders Kaynakları | 1. MATEMATİK ANALİZ ALIŞTIRMA VE PROBLEMLER DERLEMESİ. B. DEMIDOVITCH, 1992. |
| Sıra | Program Çıktıları | Katkı Düzeyi | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Having enough background in engineering topics related to mathematics, science and their fields. Skill of using theoretical and applied knowledge with engineering solutions in the field, | X | |||||
| 2 | Identifing, determining, formulating and solving engineering problems. With this purpose choosing and applying analytical methods and modelling techniques, | X | |||||
| 3 | To analyze a system, a part of a system or a process itself and the skill of design under the given constrains in order to fulfill the specifications. In that direction, the skill of applying modern design techniques | X | |||||
| 4 | Skill of choosing and applying the modern techniques and vehicles needed by the engineering applications. Skill of using the information technology effectively. | X | |||||
| 5 | Skill of designing and performing an experiment, data acquisition, analyzing and interpreting results, | X | |||||
| 6 | Ability of accessing information and doing research. Skill of using databases and other information sources. | X | |||||
| 7 | Effective working ability both as an individual and as a part of a multi-disciplinary team, self-esteem on taking responsibility, | ||||||
| 8 | Ability to make oral or written communication in Turkish. At least one foreign language knowledge, | X | |||||
| 9 | Consciousness of the necessity of the life time learning, following the developments in science and technology and ability of ones’ continous self renewal. | X | |||||
| 10 | Consciousness of occupational and ethical responsability, | X | |||||
| 11 | Consciousness on the subjects of project management, field applications, employees health, environment and work safety; awareness on legal consequences of engineering applications, | X | |||||
| Değerlendirme Sistemi | |
|---|---|
| Yarıyıl Çalışmaları | Katkı Oranı |
| 1. Ara Sınav | 70 |
| 1. Kısa Sınav | 10 |
| 2. Kısa Sınav | 10 |
| 1. Ödev | 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 | 4 | 64 |
| Hours for off-the-classroom study (Pre-study, practice) | 16 | 3 | 48 |
| Mid-terms | 1 | 5 | 5 |
| Quiz | 2 | 4 | 8 |
| Assignment | 1 | 5 | 5 |
| Final examination | 1 | 7 | 7 |
| Toplam İş Yükü | 137 | ||
| Toplam İş Yükü / 25 (Saat) | 5,48 | ||
| Dersin AKTS Kredisi | 5 | ||