For a linear ordinary differential equation of variable coefficients in which the highest order derivative $d^{n}y/dx^n$ is multiplied by a small parameter $\epsilon ...

Building on ES_APPM 420-1, this course covers advanced perturbation and asymptotic methods. They may include methods for ordinary differential equations (e.g. WKB method), for integrals (e.g.

Black holes embody the ultimate abyss. They are the most powerful sources of gravity in the universe, capable of dramatically distorting space and time around them. When disturbed, they begin to "ring ...