SYLLABUS- NUMERICAL METHODS, Errors in numerical Absolute, Relative and Percentage errors, General Error, Error in series approximation. Solutions of Algebraic and Transcendental Bisection method, False position method, Newton-Raphson Method, Picard’s iteration method. Linear systems of Consistency of Linear System of equations, Solutions of Linear Systems by direct Guassian elimination and computation of inverse of a matrix, Method of factorization Solutions of linear systems by iterative Jacobi method, Gauss-Siedel method. Interpolation and curve Errors in Polynomial interpolation, Finite differences, Differences of a polynomial, Newton’s forward and backward interpolation, Central differences, Gauss, Stirling, Bessel’s and Everett’s Formulae, Lagrange’s Interpolation formula. Numerical differentiation and Numerical differentiation, Newton-Cotes Integration formula, Numerical integration by Trapezoidal rule, Simpson’1/3, Simpson’s 3/8, and Romberg Integration.