Mth 551 Numerical Calculus I

Computer arithmetic. Solution of nonlinear equations. Interpolation. Numerical integration and differentiation. Solution of linear equation systems. Eigenvalue problem, least square, Chebyshev, trigonometric and rational function approximation. Numerical solution of differential equations. This is the first course in a sequence of three: Mth 551, Mth 552, and Mth 553 which must be taken in sequence. Also offered for undergraduate-level credit as Mth 451 and may be taken only once for credit.