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MAT 202E
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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
-
3
3
-
-
Course Language
English
Course Coordinator
Onur Tunçer
Course Objectives
Introduce numerical methods for the 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 this course students should :
1.Know how numbers are represented in computer memory and be able predict the consequential outcomes of this
2.Be able find the roots of a function dependent on a single parameter via a number of methods
3.Be able to solve linear systems of equations
4.Be able to solve non-linear systems of equations
5.Be able to interpolate and extrapolate (a3,b3,c2,e2,i1,j1,k2)*
6.Be able to conduct regression analysis through the least squares method
7.Be able to discretize continuous integrals and evaluate them numerically
8.Be able to numerically integrate ordinary differential equations
9.Be able to discretize partial differential equations via finite differences and turn them into algebraic equations
10.Be able to understand numerical error and estimate
11.Carry out computations by computer programming
12.Be able to appreciate the need and importance of numerical methods in the solution engineering problems
Pre-requisite(s)
MAT 102, MAT 104
Required Facilities
Computer usage is required for the homeworks.
Other
Late homework will not be graded (No matter how late)
Textbook
“Numerical Methods for Engineers”, Chapra, S. C., Canale, R.P., 5th Ed., McGraw Hill
Other References
“Applied Numerical Methods”, Nakamura, S., Prentice Hall, 1991
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