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Dersin Bilgileri

Dersin Adı
Türkçe Kısmı Differeansiyel Denklemler
İngilizce Int.to Partial Diff.Eq. in Eng
Dersin Kodu
UZB 218E Kredi Ders
(saat/hafta)
Uygulama
(saat/hafta)
Labratuvar
(saat/hafta)
Dönem 1
3 3 - -
Dersin Dili İngilizce
Dersin Koordinatörü Mehmet Şahin
Dersin Amaçları Students are introduced with linear partial differential equations through simple models, namely, the heat and wave equations, which describe a broad range of scientific phenomenon. Equations are formulated carefully from physical principles, motivating the mathematical solution techniques. Only exact solution methods are discussed.
Dersin Tanımı Students are introduced with linear partial differential equations through simple models, namely, the heat and wave equations, which describe a broad range of scientific phenomenon. Equations are formulated carefully from physical principles, motivating the mathematical solution techniques. Only exact solution methods are discussed.
Dersin Çıktıları On completing this course students should :
1. Know how to solve an ordinary differential equation (a3 ,e2,h1,g1,k1)*
2. Understand what it is needed to solve a differential equation (a3 ,e1,h1,g1,k1)*
3. Be able to solve Laplace’s equation for simple geometries (a3 ,e1,h1,g1,k1)*
4. Be able to use Fourier series (a3 ,b1,e1,h1,g1,k1)*
5. Be able to solve vibrating string and membrane problems (a3 ,e1,h1,g1,k1)*
6. Be able to use Bessel function for the solution of Laplace’s equation (a3 ,e1,h1,g1,k1)*
7. Be able to use Laplace transform for the solution of differential equations (a3 ,e1,h1,g1,k1)*
8. Be able to use eigenvalue expansion for solving elliptic boundary value problems (a3 ,e1 ,g1,k1)*
9. Be able to appreciate the need and importance of analytical methods in the solution engineering problems (a3 ,b1,e1,h1,i1,j1,k1)*
Önkoşullar
Gereken Olanaklar
Diğer
Ders Kitabı Haberman, R. Appl. Part. Diff. Eqns.with Fourier Series and BVP’s., 3rd Ed., Prentice Hall, 1998.
1. O'Neil, P.V. Beginning Partial Differential Equations, Wiley-Interscience, 2008.
2. Boyce, W.E. and DiPrima, R.C. Elementary Differential Equations and Boundary Value Problems, John Wiley and Sons Inc., 1997.
3. Zill, D.G. A First Course in Differential Equations. Thomson Brooks/Cole, 2005.
4. Powers, D.L. Boundary Value Problems. 4th Ed., Elsevier, 1999.
5. Bronson, R. Schaum’s Outline of Modern Introductory Differential Equations. McGraw-Hill Book Company, 1973.
Diğer Referanslar
 
 
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