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ODE course coverage:

Ordinary Differential Equations

Existence, uniqueness, and stability; the geometry of phase space; linear systems and hyperbolicity; maps and diffeomorphisms.

Chaotic Dynamics and Bifurcation Theory

Hyperbolic structure and chaos; center manifolds; bifurcation theory; and the Feigenbaum and Ruelle-Takens cascades to strange attractors. Poincare-Bendixson theory.

PDE course coverage:

Method of characteristics, understanding derivations of canonical PDEs. Wave, heat, and potential equations.

Fourier series; Solve boundary value problems for heat and wave equations; Fourier transform; Lapace's equation; generalized functions; and numerical methods for approximating solutions of 2nd order PDEs.

I know that the difficulty of a course is loosely related to the course material.

So I was wondering which of them would be harder?

Which one of them would be more educational (i.e. I would learn more out of it)?

And which one would be more fun in your opinion?

Thanks.