This course is designed to equip students with the basic techniques for the efficient numerical solution of problems in science and engineering. Topics covered include round off errors and floating-point arithmetic,  solution of non-linear equations, bracketing, fixed point methods, secant method, Newton's method, zeros of polynomials, Polynomial interpolation, orthogonal polynomial, least squares approximations, approximation by rational function, numerical differentiation, numerical integration, and  adaptive quadrature.