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mandarino31

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Advanced Differential Equations (w/ ODE's as a prereq):

"Development and application of advanced topics in differential equations. Topics may include foundational theories of differential equations, partial differential equations, perturbation theory, calculus of variations, distribution theory, transform theory, or other advanced topics"

and Dynamical Systems Theory:

"Development and application of the theory of dynamical systems. Topics include phase plane analysis, bifurcation theory, and chaos theory. Basic applications relevant to each topic are included. Additional topics may include fractional dimensions, differential equations, and cellular automata."