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  • Course Information
  • Course Title Code Semester Laboratory+Practice (Hour) Pool Type ECTS
    Numerical Analysis MATH309 FALL-SPRING 3+0 E 4
    Learning Outcomes
    1-Calculates numerical solutions of nonlinear equations and systems of nonlinear equations.
    2-Finds the numerical solution of systems of linear equations with direct solution methods and iterative methods, makes error analysis.
    3-Calculates numerical approximations to eigenvalues and eigenvectors of matrices.
    4-Finds the interpolation polynomial for the given points in the plane, fits the curves with the desired property to the points, approximates the functions with complex structures by functions with simpler structures or polynomials.
    5-Perform numerical differentiation and numerical integration and their error analysis.
    Prerequisites -
    Language of Instruction English
    Responsible Prof. Dr. Ahmet Yaşar ÖZBAN
    Instructors -
    Assistants -
    Resources R1. Burden, R.L., Faires, J.D., Numerical Analysis, Nihth Edition, Brooks&Cole, 2011. R2. Mathews, J.H., Fink, K.D., Numerical Methods Using MATLAB, Fourth Edition, Pearson, 2009.
    Supplementary Book SR1. Atkinson, K., Han, W., Elementary Numerical Analysis, John Wiley&Sons, 2004.
    Goals To teach the methods used in the numerical solution of mathematical problems and the ways of derivation of the methods, the characteristics of numerical solution methods, their strong-weak, positive-negative aspects and the criteria for determining the numerical solution method to be used depending on the characteristics of the mathematical problem.
    Content Mathematical preliminaries about numerical computation, Numerical solution of nonlinear equations and systems of equations, Numerical solutions of systems of linear equations, direct solution methods and iterative methods, Matrix eigenvalue problem and numerical solution methods, Interpolation, Curve fitting, Numerical differentiation and Numerical integration.
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