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MAT 202E
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Course Information
Course Name
Turkish
Numerical Methods
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
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 NewtonRaphson'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, RungeKutta 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 nonlinear equations.
3. Solve linear and nonlinear 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.
Prerequisite(s)
MAT102, MAT104
Required Facilities
Other
Textbook
Chapra, S. C. and Canale, R. P., Numerical Methods for Engineers, 6th Ed., McGrawHill, 2010.
Other References
Gerald, Curtis F. and Patrick O.Wheatley, Applied Numerical Analysis, 5th Edition, AddisonWesley, 1994.
Burden, R.L., and Faires, J. D., Numerical Analysis, 5th Edition, PWS Pub. Com., Oxford Univ. Press. 1995.
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