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Models in Applied Mathematics

ESAM D-21-1,2,3 (previously C-21-1,2,3)

Hermann Riecke

Tech 2307 TuTh 2:30-4:00

Although now being listed as a graduate class, this class is very well suited for juniors who are interested in the applications of mathematics. It is expected that half of the students will be juniors and half will be beginning graduate students. Typical prerequisites would be ESAM-C11-1,2 (if in doubt: see instructor)

In this class mathematical models for various typical physical systems relevant in science and engineering will be developed. Emphasis will be put on the process how one obtains these models from observation and reasonable assumptions. The models involve typically ordinary and partial differential equations, but sometimes also stochastic equations. Various methods for their solution - exact and approximate - will be developed and/or reviewed.

Physical systems and mathematical concepts to be discussed include:

Mechanics, driven oscillators, fluid flow, diffusion, heat conduction, waves in compressible media, electricity and magnetism, random walks, phase transitions, ...

Ordinary, linear and nonlinear differential equations, phase plane, stability of motion, variational principles, Green's functions, complex variables, multi-scaling, regular and singular perturbation theory, probability, ...

If you have any questions please contact the instructor:

phone: 491-8316, e-mail:


HW 1 HW 2 HW 3 HW 4

Hermann Riecke
Tue Sep 12 15:24:58 CDT 1995