Math 419 Models in Applied Mathematics -- Spring 1996
Time Table:
Math 419 --- 12PM --- M W F --- 120 TH --- CN = 96325 --- Hanson
Lecturer: F. B. Hanson, 313 SEO, X3-2142 (X6-3041msg)
- E-Mail: Hanson@uic.edu
- Web Page: http://www.math.uic.edu:~hanson/
- Office Hours: 1pm+ MWF 313 SEO (by arrangement preferable);
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.
Nominal Prerequisites:
A grade of C or better in Math 260 Structured Programming with PASCAL I
or Math 190 Introduction to Automatic Digital Computing,
and Math 480 Applied Differential Equations. Added Note: Course has
changed
and will be using Maple and MatLab/Octave for model computations and analysis,
in part, so that Math 220 Introduction to Differential Equations should
be sufficient.
Semester Credit hours: 3U4G
List of Topics: --- Hours:
- Introduction to mathematical modeling. ---- 3 hours.
- Scaling and dimensional analysis. ---- 3 hours.
- Graphical methods. ---- 4 hours.
- Optimization. ---- 4 hours.
- Elementary probability, computer Monte Carlo simulations. ---- 7 hours.
- Review of qualitative differential equations and stability. ---- 3 hours.
- Theoretical and computational study of applied DE models in
biology, chemistry, engineering and physics. ---- 18 hours.
- Leeway. ---- 3 hours.
- Total. ---- 45 hours.
Required Text:
- D. M. Etter, Engineering Problem Solving with Mathlab,
Prentice-Hall, 1993.
Other References:
- E. A. Bender, An Introduction to Mathematical Modeling, Wiley, 1986.
- F. Y. M. Wan, Mathematical Models and Their Analysis, Harper &
Row, 1989.
- R. Haberman, Mathematical Models: Mechanical Vibrations,
Population Dynamics, and Traffic Flow, Prentice-Hall, 1977.
Web Source: http://www.math.uic.edu/~hanson/math419syllabus.html