*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`