Math 579  Singular Perturbations

Instructor: C. Tier 
Text: M. H. Holmes, Introduction to Perturbation Methods, Springer. 
Offered: Spring Semester, 1999 
Timetable: 00734 LECD 10001050 M W F 0208 TH 
Course Description: (Bulletin) Algebraic and transcendental equations, regular perturbation expansions of differential equations, matched asymptotic expansions, boundary layer theory, PoincareLindstedt, 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 02000500 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 01000150 M W F 0302 AH 
Course Description: (Bulletin) Finite difference methods for parabolic, elliptic and hyperbolic differential equations: explicit, CrankNicolson implicit, alternating directions implicit, Jacobi, GaussSeidel, successive overrelaxation, conjugate gradient, LaxWendroff, 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 01000150 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 
Email Comments or Questions to Professor Hanson