151818923 MATHEMATICAL MODELING ( 3 Crd.Hrs )

An introduction to the theory and formulation of mathematical modeling with analysis, applications, simulations and computer implementation. Graphical, numerical, differential, difference and geometric techniques will be used. Topics that will be covered are dynamical systems, systems of difference equations, mathematical models, proportionality, geometric similarity, graphical fitting, analytic fitting, least-squares criterion, polynomial models, smoothing, cubic splines, simulation modeling, modeling using graph theory, population growth, prescribing drug usage, numerical approximations, using mathematical software. Course Objectives By the end of the course, students will learn how to model real-world problems by mathematical models. Students will learn how to apply various tools to analyze models including analytic and computational methods. Finally, students will learn how to compare models with observations and how to improve models.