Course Information

Course Name	Turkish	Sayısal Yöntemler
	English	Numerical Methods
Course Code	MAT 202E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	4	3	3	-	-
Course Language		English
Course Coordinator		Bülent Tutkun
Course Objectives		• To introduce numerical methods for solution of engineering problems. • To improve students’ programming skills through assignments.
Course Description		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.
Course Outcomes		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)
Pre-requisite(s)		MAT 102, MAT 104
Required Facilities		C/C++, FORTRAN or MATLAB programming knowledge is required.
Other		.
Textbook		Numerical Methods for Engineers, 5th ed., S.C. Chapra and R.P. Canale, McGraw-Hill, 2006.
Other References		Applied Numerical Methods, S. Nakamura, Prentice Hall, 1991.

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