This course covers the techniques for construction, analysis and evaluation of mathematical models that are used to aid in the understanding of questions arising in the natural, physical and social sciences, business and engineering. Students will learn how to implement mathematical models on the computer and how to interpret and describe the results of their computational experiments.
- Translate everyday situations into mathematical statements (models) which can be solved/analyzed, validated, and interpreted in context;
- Identify assumptions which are consistent with the context of the problem and which in turn shape and define the mathematical characterization of the problem;
- Revise and improve mathematical models so that they will better correspond to empirical information and/or will support more realistic assumptions;
- Assess the validity and accuracy of their approach relative to what the problem requires;
- Work as members of a team toward a common goal, and
- communicate mathematics in both oral and written form to a broad mathematical and lay audience, including the end users of a modeling problem, who may be utterly unfamiliar with the mathematics used.