Math 450 resources

http://interval.louisiana.edu/courses/450/math-450_resources.html

Resources

Mathematical Modelling

This page may change throughout the semester.

Web-based resources:

Math. 694 at Ohio State University (A lengthy course description and rationale)
On-line mathematical modelling text (The "connected curriculum" project. This starts very elementary, possibly at the high-school level, but increases in level rapidly. It is oriented towards computer algebra systems such as Mathematica or the TI92. There is reference to highschool teaching, but much of the material can be higher-level than that.)
Interdisciplinary projects in the connected curriculum project (Some of these can be overnight assignments, but some can possibly be more lengthy projects.)
Engineering Mathematics within the connected curriculum project (Many mathematical models are used, but few are derived here.)
General internet resources for mathematical modelling
An example of a high-level industrial mathematical modelling effort (fluid flow, etc.)
A database of experts in mathematical modelling
Some Course Syllabi --

Mathematical Models and Applications (Salisbury University, Maryland)
FOUNDATIONS OF LEARNING MATHEMATICAL MODELLING (University of Sunderland)
Introduction to Mathematical Modelling (University of Maryland -- Baltimore County)
Applied Mathematical Modelling (Essex)
Mathematical Modelling (St. Francis Xavier)
Mathematical Modelling (Murdoch University in Perth)
Mathematical Modelling and Methods of Applied Mathematics (University of Minnesota)

Our previous texts:

Boyce and DiPrima, Elementary Differential Equations and Boundary Value Problems, Seventh Edition (our Math. 350 text).

Look at 3.8, p. 186 ff, ff.: We will carefully review the derivation of the vibrating spring, and also look at the derivation of of pendulum motion from several points of view.

9.4-9.5 (competing species).

9.8: The Lorenz equations: We will also look at additional literature seeing how these equations were derived.

Appendix A, p. 614 (derivation of the heat conduction equation)

McKallum, Hughes-Hallet, and Gleason, Multivariate Calculus, Third Edition (our Math. 302 text): There are various simple models here.

Additional texts:

Hentley and James, Mathematical Modelling: A Source Book of Case Studies, Oxford University Press, Oxford, 1990: This is a source of possible projects.

Some references for computer languages, etc.:

Differential Equations with Mathematica, by Kevin Robert Coombes (Editor)
Numerical Methods with Matlab: Implementation and Application, by Gerald Recktenwald.