The first semester of a two-semester course sequence that will introduce students to the fundamental concepts of scientific computing, with particular attention given to algorithms that are well-suited to high performance computer architectures. The first semester will concentrate on computational linear algebra, including iterative and direct methods for solving linear systems and for eigenvalue problems, and the use of BLAS and other public domain libraries. This course is equivalent to CDA 609, CE 620, MAE 609, MTH 667, PHY 515, and GLY 609.