Math 509. Applied Numerical Methods II.  Lecture 3 hours; 3 credits. Prerequisites: MATH 408 or permission of an instructor. Topics include least squares problems, the QR factorization, the conjugate gradient method, Householder transformation and the QR method for approximating eigenvalues and singular values of a matrix. For applications, the finite difference method and the finite element method for solving partial differential equations, trigonometric interpolation and FFT as well as introductory study of optimization are discussed. This course is designated as a simulation course.