Error analysis, convergence and stability. Approximation of functions by polynomials. Numerical quadrature and differentiation. The solution of linear and non-linear equations and the solution of ordinary differential equations. Emphasizes the development of computer algorithms and stresses the influence of finite precision and arithmetic on computational results. NOTE: Credit will be granted for only one of  CE 2913, CS 3113, MATH 3414, or ECE 2412.