MA 5310: Computational Methods in Applied Sciences I (Spring, 2011)
MA 5310 University Handbook Description
Course Description: First semester of a three-semester computational methods series. Review of basics (round off errors and matrix algebra review), finite differences and Taylor expansions, solution of linear systems of equations (Gaussian elimination variations (tridiagonal, general, and sparse matrices), iterative methods (relaxation and conjugate gradient methods), and overdetermined systems (least squares)), nonlinear equations (root finding of functions), interpolation and approximation (polynomial, Lagrange, Hermite, piecewise polynomial, Chebyshev, tensor product methods, and least squares fit), numerical integration (traditional quadrature rules and automatic quadrature rules), and one other topic (simple optimization methods, Monte-Carlo, etc.).
Prerequisites: Math 3310 and COSC 1010. Identical to COSC 5310, CHE 5140, ME 5140, and CE 5140. (3 hours).
Office hours: 227 Ross Hall, Tuesdays 2:00-3:00, Wednesdays 9:00-10:00, Thursdays 3:00-4:00, and by appointment or drop in.