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Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
DIFFERENTIAL EQUATIONS IME 302 6 4 + 0 4 5
Ön Koşul Dersleri
Önerilen Seçmeli Dersler
Dersin Dili Türkçe
Dersin Seviyesi Lisans
Dersin Türü ZORUNLU
Dersin Koordinatörü Dr.Öğr.Üyesi ERCAN MASAL
Dersi Verenler
Dersin Yardımcıları Res.Assist.Mithat TAKUNYACI
Dersin Kategorisi Alanına Uygun 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.
Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri
1 - Express concept of differential equation and categorize differential equations 1 - 4 - A - C -
2 - Solve differential equations in single order 1 - 4 - A - C -
3 - Solve and apply applications of high degree equations in single order and differential equations in second order 1 - 4 - C - A -
4 - Explain and solve Bernoulli and Riccati differential equations 4 - 1 - A - C -
5 - Explain and solve high degree differential equations 1 - 4 - A - C -
Öğretim Yöntemleri: 1:Lecture 4:Drilland Practice
Ölçme Yöntemleri: A:Testing C:Homework

Ders Akışı

Hafta Konular ÖnHazırlık
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

Döküman Paylaşımı


Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5

Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 60
KisaSinav 1 15
Odev 1 10
KisaSinav 2 15
Toplam 100
Yıliçinin Başarıya Oranı 50
Finalin Başarıya Oranı 50
Toplam 100

AKTS - İş Yükü

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