Mathematical Analysis and Modeling
MATH 641. Mathematical Analysis and Modeling
Three Credit Hours (3).
Prerequisite: Undergraduate degree in mathematics or by instructor permission.
Examines mathematical models of real life phenomena and develops solution strategies for open-ended problems. The models are based on Calculus, Differential Equations and Linear Algebra; they may include discrete and continuous population models, diffusion processes, business and economics models, continuous and discrete optimization problems with calculus and linear programming. Software may include Excel, Maple, Matlab or similar programs.
Detailed Description of Course
This course will examine mathematical models of real life situations. Topics may include, but are not limited to
* population growth; exponential and logistic growth, predator-prey models, discrete population models, age dependent models,
* least squares data approximation with linear and non-linear models,
* diffusion processes such as heat conduction or pollution models,
* optimization with several variables, Calculus based ideas and/or linear programming.
Detailed Description of Conduct of Course
Lectures will provide the mathematical background; students will work in groups on the assigned models and prepare final reports. By nature, these problems are open-ended, and instructors will guide students through the process. Students will be encouraged to use the appropriate technology in their projects.
Goals and Objectives of the Course
Students will learn to translate real world situations into the language of mathematics, apply a variety of techniques from Calculus and Linear Algebra, and use computers in problem solving.
Grades will be assigned based on traditional in-class exams, as well as on the reports of the modeling assignments.
Other Course Information
Review and Approval
Date Action Reviewed