Computational Science and Applied Math
Graduate Courses for Spring 1999

Math 579 - Singular Perturbations
Instructor:   C. Tier
Text:   M. H. Holmes,  Introduction to Perturbation Methods,  Springer.
Offered:   Spring Semester, 1999
Timetable:   00734 LECD 1000-1050 M W F 0208 TH
Course Description:   (Bulletin) Algebraic and transcendental equations, regular perturbation expansions of differential equations, matched asymptotic expansions, boundary layer theory, Poincare-Lindstedt, multiple scales, bifurcation theory, homogenization.
Prerequisites:   Math 481 (Applied PDE)

MCS 504 - Mathematics and Information Science for Industry Workshop.
Instructor:   R. Grossman
Text:   None; selected articles will be used.
Offered:   Spring Semester, 1999
Offered:   00765 LECD 0200-0500 F 0700 SEO
Course Description:   This course is centered around one or more "industrial" problems. The goal of the course is to provide an opportunity for students to use mathematics and information sciences to work on problems arising from industrial applications. The course will cover: mathematical modeling, problem formulation, problem analysis, problem solution, developing software to implement the solution, validating the software, analyzing the results, documenting the problem and its solution, techniques for effectively working in groups, software engineering, and effectively communicating technical material.
Comments:   The course may be repeated for credit.
Prerequisites:   Prior course work in data structures and algorithms and C/C++ programming

MCS 571 - Numerical Methods for Partial Differential Equations
Instructor:   F. Hanson
Text:   K.W. Morton and D.F. Mayers ,  Numerical Solution of Partial Differential Equations,  Cambridge University Press.
Offered:   Spring Semester, 1999
Timetable:   00780 LECD 0100-0150 M W F 0302 AH
Course Description:   (Bulletin) Finite difference methods for parabolic, elliptic and hyperbolic differential equations: explicit, Crank-Nicolson implicit, alternating directions implicit, Jacobi, Gauss-Seidel, successive over-relaxation, conjugate gradient, Lax-Wendroff, Fourier stability.
Prerequisites:   MCS 471(Numerical Analysis) or consent of the instructor.
The MCS 571 web page has further information for this course.

MCS 575 - Computer Performance Evaluation
Instructor:   C. Tier
Text:   P. J. B. King,  Computer and Communications Performance Evaluation,  Prentice Hall.
Offered:   Spring Semester, 1999
Timetable:   00799 LECD 0100-0150 M W F 0311 AH
Course Description:   (Bulletin) Modeling of computer systems, basic queues, central server models, Little s Law, operational analysis, Markovian networks, Jackson and BCMP networks, product form solutions, computational algorithms, mean value analysis, approximation methods.
Comments:   The web page for this course is MCS 575
Prerequisites:   Background in probability and stochastic processes

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