 Interpolation: Newton's forward, backward and divided difference formulae; Lagrange's method; Gauss, Stirling and Bessel's formulae; spline interpolation.
 Solution of Systems of Linear Equations: Gauss elimination method, Thomas algorithm, GaussJacobi and GaussSeidel methods.
 Eigenvalues and Eigenvectors: Power method, Jacobi's method, Given's method, Householder's method.
 Solution of Nonlinear Equations: Bisection method, fixed point iteration, NewtonRaphson, secant and regulafalsi methods.
 Solution of System of Nonlinear equations: Fixedpoint method and Newton's method.
 Numerical Differentiation: Formulae based on Newton's forward, backward, divided difference, and Lagrange's formulae.
 Numerical Integration: Trapezoidal rule, Simpson's 1/3rd and 3/8th rules, Weddle's rule, quadrature formulae based on Stirling's and Bessel's interpolation formulae.
 Solution of Differential Equations: Taylor's series method, Picard's method and RungeKutta methods (1st, 2nd and 4th orders) for solving ODEs.
