I'm creating a course on differential equations, and I'm painfully aware that there is a LOT to teach.
As of right now, I'm considering splitting the course into two, in the following manner:
theory with visuals; growth models, equilibrium points (and their classifications), bifurcations, how computers solve equations (numerically)
strategies for solving equations by hand; separable equations, integrating factor, parameter variation, undetermined coefficients
I realize that both of these have untold depths in their own respects, but that is reasonable because since this will be a video course, I can add videos indefinitely. I might have to further split each part, but that's a problem for another day.
Is this a logical way of structuring a course on differential equations into two parts?