Anyways, may as well take another shot here, seeing as how I have eight months of free time on my hands. I completed all of these, but I plan on re-auditing all three as a refresher since three years can really fog your memory. Here is the full listing of all concepts covered in each.
Differential Equations: First order equations, linear second order equations, 2-dimensional systems of linear equations with constant coefficients, elementary qualitative methods, numerical Euler and Runge-Kutta methods, Laplace transforms.
Calculus of several variables: Vectors and vector functions; solid analytic geometry; partial differentiation; directional derivatives and the gradient vector; Lagrange multipliers; multiple integration with applications; cylindrical and spherical coordinates; surface area; line integrals; Green's Theorem, surface integrals, the divergence theorem.
Multi-variable calculus: Vectors in two and three dimensions, vector-valued functions, functions of several variables, multivariate differential calculus, multiple integrals.
It would really help me out if someone who has been through the CSE program could just give a quick once-over to the list and point out any glaring deficiencies that I should go make an effort to look at.
