Computational Science and Applied Mathematics
Courses for Fall 1996
Fall Semester 1996:
Math 480 Applied Differential Equations
Time=2MWF Room=305TH Call=61447 Instructor=Friedlander Catalog description:
Linear first-order systems. Numerical methods. Nonlinear
differential equations and stability. Introduction
to Partial differential equations. Sturm-Liouville theory. Boundary
value problems and Green's functions.
Prerequisites:
Grade of C or better in Math 220 Elementary Differential Equations.
Math 484 Tensor Analysis
Time=11MWF Room=216TH Call=61454 Instructor=Barston Catalog description:
Cartesian tensors, orthogonal transformations. General
tensor calculus, Riemannian space, covariant differentiation,
Christoffel symbols, curvature tensor, differential geometry.
Emphasis on aspects of interest in science and engineering.
Prerequisites:
Grade of C or better in Math 410 Advanced Calculus I,
Math 310 Applied Linear Algebra I or Math 320 Linear Algebra I.
Math 572 Advanced Topics in Geometric Analysis:
Introduction to Mathematical Control Theory
Time=2MWF Room=321TH Call=61692 Instructor=Yau Catalog description:
Mathematics of dynamic processes, characterization of systems, stability
analysis, controllability, observability, canonical forms, realization,
estimation, and design.
See Professor Yau.
Prerequisites:
Graduate standing and Math 325, Linear Algebra II, and ordinary differential
equation, or consent of instructor.
See Professor Yau.
Track course: Industrial Mathematics Track in
Control, Information, and Optimization (CIO).
Math 590: Financial Engineering or Mathematics of Stock Markets.
(Special Topics in Applied Math)
Time=11MWF Room=316TH Call=61738 Instructor=Lipton Description:
This is an introduction into a rapidly developing area of mathematics
known as financial engineering. Recent advances in understanding the
behavior of the bond and stock markets will be described from a
mathematical viewpoint. Modern financial instruments and mathematical
methods of their valuation will be discussed in detail. Hands on
experience in numerical methods will be provided.
Prerequisites: Consent of instructor.
Text:
P.W. Wilmott, S. Howison and J. Dewynne,
"The mathematics of financial derivatives: a student introduction",
Cambridge Univ Press 1995.
Click Here for Math590 Syllabus Click Here for MSCS Computational Finance Homepage
MCS 565 Mathematical Theory Of Databases: Image Database
Time=12MWF Room=???TH Call=????? Instructor=Yau Catalog description:
See Professor Yau.
Prerequisites:
See Professor Yau.
Track course: Industrial Mathematics Track in
Control, Information, and Optimization (CIO).
MCS 572 Introduction to Supercomputing
Time=2MWF Room=320TH Call=62503 Instructor=Hanson
Catalog description:
Introduction to supercomputing on vector, parallel and massively parallel
processors; architectural comparisons, parallel algorithms, vectorization
techniques, parallelization techniques, actual implementation on real machines
(Crays, Connection Machines and others).
Prerequisites:
MCS 471 Numerical Analysis or MCS 571 Numerical Methods for Partial
Differential Equations or consent of the instructor. Graduate standing.
Core course: High Performance Computing Preliminary Examination.
Click Here for MCS 572 Homepage
MCS 575 Computer Performance Evaluation
Time=10MWF Room=313TH Call=98938 Instructor=Tier Catalog description:
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.
Prerequisites:
Graduate standing and Math 450 Introduction to Probability and
MCS 412 Computer Operating Systems; or consent of the instructor.
Core course: High Performance Computing Preliminary Examination.
MCS 590 Industrial Mathematics Problem Solving (Special Topics in
Computer Science)
Time=1MWF Room=208TH Call=62512 Instructor=Grossman 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 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, and
communicating the results.
Prerequisites: Prior coursework in algorithms, applied
mathematics, and C programming, or consent of instructor.
Core course: Proposed Industrial Mathematics Program.
Click Here for MCS 590 Homepage
Web Source: http://www.math.uic.edu/~hanson/CSAM-F96Courses.html