Round-off error analysis. Numerical solution of nonlinear equations (Fixed point, Newton-Raphson). Numerical solution of linear systems (Direct Methods (Gaussian Elimination, Gauss-Jordan), Iterative methods (Jacobi, Gauss-Seidel, SOR)). Numerical methods for computing eigenvalues and eigenvectors. Interpolation. Least squares method. Numerical differentiation. Numerical integration. Numerical solution of ordinary differential equations.