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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