MÜHENDİSLİK FAKÜLTESİ
MAKİNE MÜHENDİSLİĞİ
Dersin Adı   DIFFERENTIAL EQUATIONS
Dönemi Dersin Kodu Teorik Saat / Uygulama Saati AKTS
3 1210311 3 / 0 4
Dersin Düzeyi Lisans
Dersin Dili İngilizce
Dersin Veriliş Biçimi Yüz Yüze
Dersin Koordinatörü
Koordinator E-mail
Öğretim Elemanı
Yardımcı Öğretim Elemanları
Dersin Amacı to understand the general theory of differential equations and the basic techniques for solving differential equations. To have an insight of the differential equations in engineering branches.
Temel Bilimler Mühendislik Bilimleri Sosyal Bilimler Eğitim Bilimleri Sanat Bilimleri Sağlık Bilimleri Tarım Bilimleri
85 15 0 0 0 0 0
DERS YÖNTEM VE TEKNİKLERİ
Delivery, question-answer, group study, homeworks and some elective projects
HAFTA DERS İÇERİĞİ KAYNAK
1 Introductory basic concepts 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
2 Direction field and phase line 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
3 Existence and uniqueness of solutions 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
4 First order ordinary differential equations and seperable equations 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
5 Linear and Bernoulli type equations 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
6 Riccati ttype equations 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
7 First order homogeneous equations 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
8 MIDTERM
9 Exact equations and integrating factor 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
10 Applications of first order equations in various fields 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
11 Second order linear equations 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
12 Higher order linear homogeneous equations 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
13 Higher order nonhomogeneous equations 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
14 Laplace transformation and exponential order functions 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
15 Inverse Laplace and convolution theorem 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
DEĞERLENDİRME SİSTEMİ   Ara Sınav Final
  Sayı Katkı Payı Sayı Katkı Payı  
Yarıyıl İçi Çalışmaları : - - - -
Devam/Katılım : - - - -
Uygulamalı Sınav : - - - -
Derse Özgü Staj : - - - -
Küçük Sınav : - - - -
Ödev : - - - -
Sunum ve Seminer : - - - -
Projeler : - - - -
Atölye/Laboratuvar Uygulamaları : - - - -
Vaka Çalışmaları : - - - -
Arazi Çalışmaları : - - - -
Klinik Çalışmaları : - - - -
Diğer Çalışmaları : - - - -
Ara Sınav   1 40 - -
Final   - - 1 60
AKTS İŞ YÜKÜ TABLOSU   Sayı Süre
Ders Süresi : 14 3
Sınav Dışı Ders Çalışma Süresi : 18 4
Sunum ve Seminer Hazırlama : - -
Derse Özgü Staj : - -
Atölye/Laboratuvar Uygulamaları : - -
Arazi Çalışmaları : - -
Vaka Çalışmaları : - -
Projeler : - -
Ödev : 0 0
Küçük Sınavlar : - -
Ara Sınav : 1 16
Final : 1 20
DERSİN AKTS KREDİSİ 5
No DERS ÖĞRENİM ÇIKTISI KATKISI (*)
D.Ö.Ç. 1 To be able to model the behavior of simple systems in the natural world 4
D.Ö.Ç. 2 To have mathematical background to analyse an engineering problem. 3
D.Ö.Ç. 3 To solve a simple ordinary differential equation 4
D.Ö.Ç. 4 having ability to see the relation between an egineering problem and the corresponding differential equation 4
* 1: Zayıf - 2: Orta - 3: İyi - 4: Çok İyi
PROGRAM ÇIKTISI VE DERS ÖĞRENİM ÇIKTISI İLİŞKİ MATRİSİ

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