| Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
|---|---|---|---|---|---|
| Dıfferentıal Equatıons | IME 302 | 6 | 4 + 0 | 4 | 5 |
| Ön Koşul Dersleri | |
| Önerilen Seçmeli Dersler | |
| Dersin Dili | Türkçe |
| Dersin Seviyesi | Lisans |
| Dersin Türü | Zorunlu |
| Dersin Koordinatörü | Doç.Dr. AYŞE ZEYNEP AZAK |
| Dersi Verenler | Doç.Dr. AYŞE ZEYNEP AZAK, |
| Dersin Yardımcıları | Res.Assist.Mithat TAKUNYACI |
| Dersin Kategorisi | Alanına Uygun Temel Öğretim |
| Dersin Amacı | Inform areas of mathematics usage with given basic concepts and known solution methods on differential equations by the help of this course which has wide application areas in many science. |
| Dersin İçeriği | Concept of differential equation, classification of differential equations, initial value problems, general solutions, separable equations to values, homogeneous equations, trasformed equations to homogeneous, total differential equations, integration factor and trasformed to total differential equations, linear differential equations in single order, Bernoulli and Riccati differential equations. High degree equations in single order, equations in second order without one of the values, applications of differential equations in second order. High degree differential equations and linear differential equations and solutions. |
| # | Ders Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
|---|---|---|---|
| 1 | Express concept of differential equation and categorize differential equations | Lecture, Drilland Practice, | Testing, Homework, |
| 2 | Solve differential equations in single order | Lecture, Drilland Practice, | Testing, Homework, |
| 3 | Solve and apply applications of high degree equations in single order and differential equations in second order | Lecture, Drilland Practice, | Homework, Testing, |
| 4 | Explain and solve Bernoulli and Riccati differential equations | Drilland Practice, Lecture, | Testing, Homework, |
| 5 | Explain and solve high degree differential equations | Lecture, Drilland Practice, | Testing, Homework, |
| Hafta | Ders Konuları | Ön Hazırlık |
|---|---|---|
| 1 | Concept of differential equation, classification of differential equations | |
| 2 | Initial value problems, general solutions | |
| 3 | Separable equations to values and homogeneous equations | |
| 4 | Trasformed equations to homogeneous and total differential equations | |
| 5 | Integration factor and trasformed to total differential equations | |
| 6 | Linear differential equations in single order | |
| 7 | Bernoulli and Riccati differential equations | |
| 8 | High degree equations in single order, equations in second order without one of the values | |
| 9 | Mid- Term Exam | |
| 10 | Applications of differential equations in second order | |
| 11 | Applications of differential equations in second order | |
| 12 | High degree differential equations | |
| 13 | High degree differential equations | |
| 14 | Linear differential equations and solutions. |
| Kaynaklar | |
|---|---|
| Ders Notu | |
| Ders Kaynakları | |
| Sıra | Program Çıktıları | Katkı Düzeyi | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Have general information about basic concept, theory and applicaitons on mathematics | X | |||||
| 2 | Have ability of mathematical thinking and apply to real life | X | |||||
| 3 | Classify a problem systematically also create comprehensible, understandable and objective solutions | X | |||||
| 4 | Establish relationship among events looked different | X | |||||
| 5 | Get clear and exact ideas about relationships among time, place and numbers | X | |||||
| 6 | Use principles of scientific method on problem solving | X | |||||
| 7 | Have character on explorer, impartial, disinterested, give sound decisions, open mind and believe that spreading information is needed | X | |||||
| 8 | Think creative and critical | X | |||||
| 9 | Improve methods as fast, understandable and practical to faced problems | X | |||||
| 10 | Have information about national and international modern problems | ||||||
| 11 | Get life long learning behaviour | ||||||
| 12 | Know and apply approach, aim, goal, principle and techniques of teaching program on special field with basic value and principles of Turkish National Education System | ||||||
| 13 | Evaluate development and learning of students, provide to evaluate self-assessment and other students. Use the assessment results to better instruction; share the results with student, parent, administrators and teachers. | ||||||
| 14 | Endeavor for constant development by making self-evaluation. Open the new knowledge and ideas, have a role to develop himself/herself and his/her institution. Have enough knowledge and conscious to protection subjects on society values and environment. | ||||||
| 15 | Interrogator ( get habit to find source of knowledge by asking “Why?” question instead of direct acceptance to given knowledges ) | X | |||||
| Değerlendirme Sistemi | |
|---|---|
| Yarıyıl Çalışmaları | Katkı Oranı |
| 1. Ödev | 10 |
| 1. Ara Sınav | 60 |
| 1. Kısa Sınav | 15 |
| 2. Kısa Sınav | 15 |
| Toplam | 100 |
| 1. Yıl İçinin Başarıya | 40 |
| 1. Final | 60 |
| 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 | 2 | 32 |
| Mid-terms | 1 | 10 | 10 |
| Quiz | 2 | 2 | 4 |
| Assignment | 1 | 10 | 10 |
| Final examination | 1 | 15 | 15 |
| Toplam İş Yükü | 135 | ||
| Toplam İş Yükü / 25 (Saat) | 5,4 | ||
| Dersin AKTS Kredisi | 5 | ||