Math. 555 (advanced numerical analysis, first semester) or permission of the instructor and graduate coordinator. Additionally, students should have a working knowledge of a scientific computer programming language (preferably Fortran 90). (An online tutorial in Fortran 90 is at http://wwwcn.cern.ch/asdoc/WWW/f90/f90.html, while a copy of the official ANSI standard can be found on UCS in /usr/local/doc/f90_std.ascii.) Any student who is in doubt about any of these prerequisites should contact the instructor.