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Course Information

Course Name
Turkish Numerical Methods
English Numerical Methods
Course Code
MAT 202E Credit Lecture
Semester 4
3 3 - -
Course Language English
Course Coordinator Bayram Çelik
Ayşe Gül Güngör
Course Objectives Introducing numerical methods for solution of engineering problems.
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 the course, the students should be able to:
1.Explain how the numbers are represented in computer.
2. Find the roots of linear and non-linear equations.
3. Solve linear and non-linear systems of equations using computer.
4. Carry out interpolation and curve fittings.
5. Conduct regression analysis through the least squares method.
6. Discretize continuous integrals and evaluate them numerically.
7. Numerically integrate ordinary differential equations.
8. Discretize partial differential equations using finite difference methods.
9. Define numerical error and estimate its magnitude.
10. Carry out computations using computer programs.
Pre-requisite(s) MAT102, MAT104
Required Facilities
Textbook Chapra, S. C. and Canale, R. P., Numerical Methods for Engineers, 6th Ed., McGraw-Hill, 2010.
Other References Gerald, Curtis F. and Patrick O.Wheatley, Applied Numerical Analysis, 5th Edition, Addison-Wesley, 1994.
Burden, R.L., and Faires, J. D., Numerical Analysis, 5th Edition, PWS Pub. Com., Oxford Univ. Press. 1995.
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