The aim of the course is to introduce the main concepts of numerical analysis and to introduce various numerical methods and to give its error analysis. To improve the problem solving abilities by giving various applied examples. Try to give the relevance of numerical analysis with other topics.

Interpolation and polynomial approximation. Taylor series and the analysis. Lagrange interpolation and the error analysis. Newton polynomials and divided differences. Spline interpolation, rational interpolation,Pade interpolation and error analysis. Chebyshev interpolation. Curve fitting and least square method. Numerical differentiation error analysis and various derivations.Numerical quadrature, Newton-Codes formula and Gauss-Legandre integration.