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: Students counting credit for CS 3113 cannot count credit for CE 2913, ECE 2412 and/or MATH 3414.