Course outline, evaluation, etc.

models that can be applied to areas within biological (primarily) and social sciences.

Building a mathematical model requires:

a) Formulation of the problem such that only the

important facts (relevant to the scientific or practical purpose that we seek to express

mathematically) are included; all other details are neglected.

b) Identification of the mathematical tools needed to describe the problem.

c) Simplify the problem so that the model can be built and solved within the time allowed

for the project and using the mathematical tools available to the problem solvers.

d) Writing the mathematical model and calibrating against data or known science.

As a group project, you will spend the semester designing a model for a specific system of your

choosing in consultation with Dr. Shearer.

There will be a mid-term evaluation of progress, which should include the formulation of the problem

and a first attempt at modeling.

The model can be used to answer scientific questions, comparing to data for the purpose of gaining

understanding of the underlying processes in the application. This can be done using mathematical

methods, and software such as Matlab.

The final project report will include a detailed account of the model and its use of model solutions.

The approach of the course is to discuss example models (from the text books, on reserve at the library)

and to use these examples to build new models. While building models you will work in groups/teams.

The aim is to formulate a problem, find the needed mathematical tools to write the model, and to

use the model to address issues or questions, and to investigate consequences or predictions of the model.

This course should serve both to give you an appreciation of the use of mathematics in modeling and to provide

a springboard for deeper study of some of the mathematical topics.

in the the MA 432 course locker.

The first half of the project will be due the week before spring break and the completed project will be due during the

last week of classes.

(account for 40% of the final grade). The project requires a mid- and a final report as well

as two presentations (a mid-term and a final presentation). For the final project each

student will receive a question that has to be answered during the final presentation. The

final presentation will run during the last week of classes and during the exam-period. In

addition you will receive homework problems and small group projects that will account for 60% of the

grade.