MATH 625 - Computational Mathematics and C Programming

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Introduction to theory and computational algorithms in selected topics of interest to mathematicians, engineers and scientists. Includes design and implementation of algorithms as C programs. Representative topics: solution of linear systems, the wavelet transform and applications to image processing and image compression, minimization routines for multi-variable functions and application to determining the equilibria of statically indeterminate trusses, Legendre polynomials and their derivatives, Gaussian quadrature of arbitrary order, non-linear system solvers, mesh generation routines and other ancillary components leading to an implementation of a simple but general-purpose finite element solver for elliptic partial differential equations in the plane. The course includes a concurrent and intensive introduction to programming in C.
Prerequisite: Prerequisite: MATH 221, MATH 225, MATH 251 or consent of instructor.