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Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
MATHEMATICS 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 Doç.Dr. YALÇIN YILMAZ
Dersi Verenler
Dersin Yardımcıları Research Assistants in mathematics department
Dersin Kategorisi
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
Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri
1 - He/She Recognizes differential equation 1 - 15 - 2 - 3 - 4 - A - C -
2 - He/She Classifies differential equations 4 - 3 - 2 - 15 - 1 - C - A -
3 - He/She Finds equation which solution is known 1 - 15 - 2 - 3 - 4 - A - C -
4 - He/She Recognizes and solves first order equation 4 - 3 - 2 - 15 - 1 - C - A -
5 - He/She Finds a curve which cuts another curve 1 - 15 - 2 - 3 - 4 - A - C -
6 - He/She Recognizes high order equation 4 - 3 - 2 - 15 - 1 - C - A -
7 - He/She Finds a solution linear homogenous equation with constant coefficient 1 - 15 - 2 - 3 - 4 - A - C -
8 - He/She Finds a solution linear nonhomogenous equation with constant coefficient 4 - 3 - 2 - 15 - 1 - C - A -
Öğretim Yöntemleri: 1:Lecture 15:Problem Solving 2:Question-Answer 3:Discussion 4:Drilland Practice
Ölçme Yöntemleri: A:Testing C:Homework

Ders Akışı

Hafta Konular ÖnHazırlık
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

Döküman Paylaşımı


Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
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

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 70
KisaSinav 1 10
Odev 1 10
KisaSinav 2 10
Toplam 100
Yıliçinin Başarıya Oranı 50
Finalin Başarıya Oranı 50
Toplam 100

AKTS - İş Yükü

Etkinlik Sayısı Süresi(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(s) 3.12
Dersin AKTS Kredisi 3.12
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