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		Elmas Atabay
Course Objectives		1. To understand the language, logic, and math of numerical methods as used in engineering and science. 2. To learn how numerical analyses can be applied to a wide range of problems of importance in science and industy. 3. To improve the programming skills of the students.
Course Description		Accuracy estimation in numerical methods and 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 represented in computer memory and predict the consequential outcomes of this, and also carry out computations by computer programming 2. Find the roots of a function dependent on a single parameter via number of methods. 3. Solve linear systems of equations numerically. 4. Solve non-linear systems of equations numerically. 5. Interpolate and extrapolate. 6. Conduct regression analysis through the least squares method. 7. Discretize continuous integrals and evaluate them numerically. 8. Numerically integrate ordinary differential equations. 9. Discretize partial differential equations via finite differences and turn them into algebraic equations. 10. Understand numerical errors and estimate their magnitude.
Pre-requisite(s)		MAT 102, MAT 104
Required Facilities		Computer programming will be needed in solving homework assignments. Programming languages such as Fortran or C and a math software such as MATLAB are required.
Other
Textbook		Numerical Methods for Engineers, 6th Ed., S.C. Chapra and R.P. Canale, McGraw-Hill, 2010.
Other References		Numerical Methods for Scientists and Engineers, 2nd Ed., R.W. Hamming, 1987.

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