You can't uninstall IE, it's part of the system! (Unless you got one of those special EU castrated systems). If you mean you uninstalled the latest version of it, then you've rendered the system unsafe as it should be kept up to date at all times. Many applications rely on a working Internet Explorer set to its default settings, and often use it in the background without you even knowing about it, so I would go to Windows Update and install anything it offers, critical or otherwise.
Did you install the Flash player specifically for other browsers as the default Flash download is only for IE. See the thumbnail attached (click to enlarge).
As I said, I would imagine that Microft E-Learning uses IE by default.