Math 443/643 Numerical Analysis 

Course description: A first course in Numerical Analysis. Covers the basics of the subject and provides a foundation for more advanced work in Numerical Partial Differential Equations and Numerical Linear Algebra. The topics that will be covered include: floating point arithmetic, solution of nonlinear equations and nonlinear systems of equations, Gaussian elimination and LU factorization for the solution of linear systems of equations, polynomial and radial basis function (RBF) interpolation, numerical integration, Runge-Kutta methods for ordinary differential equation (ODE) initial value problems

: Math 331 (Linear Algebra) and computer programming experience.

  Numerical Mathematics and Computing, ISBN: 1133103715.  Book webpage.