Numerical Analysis (Every fall semester starting 2003) MTH 443/543. Catalog description: 3 hrs. Computer arithmetic, roots of equations, interpolation, linear systems, and numerical differentiation and integration. Runge-Kutta and multistep methods for ODE initial value problems. Analysis of errors in and convergence properties of algorithms. Computer implementation of methods. (PR: MTH 331 and a computer programming course)
Numerical Differential Equations (every other spring semesters starting 2004) MTH 667. Catalog description: Finite difference methods for elliptic, parabolic, and hyperbolic PDEs. Study of properties such as consistency, convergence, stability, and conservation. Computer implementation of methods. (PR: MTH 335 and a programming language or permission of instructor)
Numerical Linear Algebra (every other spring semesters starting 2005) MTH 442/542. Catalog description: 3 hrs. Direct and iterative methods for the numerical solution of linear systems of equations. Eigenvalues and eigenvectors. Error Analysis and norms. Related topics and applications. Computer implementation of methods. (PR: MTH 331 and a computer programming course)