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Dersin Bilgileri

Dersin Adı
Türkçe Sayısal Yöntemler
İngilizce Numerical Methods
Dersin Kodu
MAT 202E Kredi Ders
(saat/hafta)
Uygulama
(saat/hafta)
Labratuvar
(saat/hafta)
Dönem 4
3 3 - -
Dersin Dili İngilizce
Dersin Koordinatörü Hacı İbrahim Keser
Hacı İbrahim Keser
Dersin Amaçları • To introduce numerical methods for solution of engineering problems.
• To improve students’ programming skills through assignments.
Dersin Tanımı Accuracy estimation in numerical methods, error propagation. Root finding for system of nonlinear equations; Newton's and Newton-Raphson's Methods. Solution methods for system of linear equations. Interpolation, extrapolation and curve fitting. Numerical differentiation integration. Numerical solutions of ordinary differential equations. Finite Differences: forward, backward and central differences. Runge-Kutta Methods.
Dersin Çıktıları On completing this course students should be able to,
1. Explain numbers are represented in computer memory and be able predict the consequential outcomes of this, and also carry out computations by computer programming (a3,b3,c3, e2, i1,j3,k3)
2. Find the roots of a function dependent on a single parameter via a number of methods. (a2,b1,c1,e1,k2).
3. Solve linear systems of equations. (a3,b2,c3,e3,i1,k3)
4. Solve non-linear systems of equations. (a3,b2,c3,e3,i1,k3)
5. Interpolate and extrapolate. (a3,b3,c2,e2,i1,j1,k2)
6. Conduct regression analysis through the least squares method. (a3,b3,c2,e2,j1,k2)
7. Discretize continuous integrals and evaluate them numerically. (a3,b2,c1,e2,i1,j1,k2)
8. Numerically integrate ordinary differential equations. (a3,b1,c2,e3,h1,i1,j1,k3)
9. Discretize partial differential equations via finite differences and turn them into algebraic equations. (a3,b1,c2,e3,i1,j1,k3)
10. Understand numerical errors and estimate their magnitude. (a2,b2,c2,e2,i1,j1,k2)
Önkoşullar MAT 102, MAT 104
Gereken Olanaklar
Diğer
Ders Kitabı Numerical Methods for Engineers, 5th ed., S.C. Chapra and R.P. Canale, McGraw-Hill, 2006.
Diğer Referanslar Applied Numerical Methods, S. Nakamura, Prentice Hall, 1991.
 
 
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