Mathematical Modeling

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MAT 375 – Applied Mathematical Models

This is a 3 credit course.

Prerequisites are a C or better in a statistics course (STA 205 or STA 212 or STA 250) and a C or better in calculus (MAT 120)

Basic mathematical models arising in biology, sociology, political science, and decision science; exponential growth, predator-prey, Markov chain, learning theory, linear and nonlinear programming, waiting line and simulation models.

A mathematical model is a mathematical representation of a real-world problem. For example, if you want to study how an automobile will act in a collision, it is much easier and cheaper to use a mathematical model than to perform an actual test crash. Mathematical modeling has many applications. Some examples would be to study the spread of a disease, predict the weather, understand global warming and its causes, or to understand the workings of the human eye. Thus the emphasis in the course is on application of mathematics, rather than on developing a deeper understanding of a particular area of mathematics. We will explore a number of important models – models which can be applied in many different settings. The particular models chosen will depend upon the background and interests of the students in the class.

If you like this course, you may want to consider participating in the COMAP modeling contest in the spring of ’09. This is a national competition in which NKU students have often done well and is usually held on a weekend in February.