Advanced Mathematical Modeling
|Years of Operation||1997-1998|
From the CTY Course Catalog (1997):
Countless phenomena in nature and society can be better understood by using mathematical tools and reasoning. Students in this course explore the myriad of ways in which mathematics can be applied. They analyze real-world situations, develop models which represent these situations mathematically, and check the models against reality. This course focuses on complex non-linear models. Students employ techniques from the theory of polynomial functions, systems of equations, geometry, trigonometry, and probability. They study linear programming, periodic phenomena such as biorhythms, problems faced by industry, and fractals and recursion theory, and complete projects such as designing and building a parabolic mirror. Students also delve into the history of applied mathematics. This course includes small-group activities, individual explorations, whole-class discussions, and project work.