Courses for Fall 1997

**Math 417 Complex Variables with Applications***Time=12MWF Room=310TH Call=62955 Instructor=S. Friedlander**Catalog description:*Complex numbers, analytic functions, complex integration, Taylor and Laurent series, residue calculus, branch cuts, conformal mapping, argument principle, Rouche's theorem, Poisson integral formula, analytic continuation.*Prerequisites:*Grade C or better in Math 210.

*Click Here for Math 417 Syllabus page*

**CANCELLED: Math 419 Models in Applied Math********Section Dropped*******Catalog description:*Introduction to mathematical modeling; scaling, graphical methods, optimization, computer simulation, stability, differential equation models, elementary numerical methods, applications in biology, chemistry, engineering and physics.*Prerequisites:*Grade of C or better in MCS 190 or 260; and Math 220.

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*Click Here for MCS 419 Generic Syllabus Page*

**Math 480 Applied Differential Equations***Time=2MWF Room=305TH Call=63017 Instructor=E. M. Barston**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.

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**Math 494 Survival Models (Special Topics in Mathematics)***Time=3MWF Room=312TH Call=16297 Instructor=G. V. Ramanathan**Catalog description:*See Prof. Ramanathan about this Actuarial Mathematics course.*Prerequisites:*Approval of the department.

**Math 580 Physical Principles of Applied Mathematics I***Time=10MWF Room=316TH Call=63271 Instructor=N. E. Berger**Catalog description:*Development of concepts and techniques basic to key mathematical models of physical phenomena; particularly discrete and continuum mechanics; derivation of the equations of fluid mechanics and elasticity.*Prerequisites:*Math 410 and 417 and 481.*Core course:*Mathematical Sciences Preliminary Examination.

*Click Here for Math 580 Syllabus page*

**MCS 572 Introduction to Supercomputing***Time=2MWF Room=320TH Call=64119 Instructor=F. B. 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, Convex Exemplar and others).*Prerequisites:*Experience in Numerical Methods or consent of the instructor.*Core course:*High Performance Computing Preliminary Examination.

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**MCS 590 Math and Information Sciences for Industry (MISI) Workshop (Special Topics in Computer Science)***Time=2F Room=700SEO Call=64153 Instructor=R. L. Grossman (Time/Room Change)**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 (MISI) Program.

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