Mathematics of Dynamical Systems Describing Complex Environmental Phenomena: A Modern Crystal Ball?

1 credits · Undergraduate

Environmental problems require construction of and solutions to systems of equations for relations between rates and states of variables. Covers construction and use of differential equations and corollary analytical tools. Differential equations used to explain concepts as stability, resilience, and equilibria (e.g. climate, ecosystems, conservation efforts). Computer-aided software (MATHEMATICA and Matlab) used to solve analytically and numerically such equations. Case studies illustrate the mathematical tools derived in dynamical systems (e.g. bifurcations and catastrophe theory, boom-bust, crashes). Prerequisite: Mathematics 111L or equivalent and Physics 141L or equivalent.