In need of help concerning making a knot animation (paths etc.) I'm in need of help to get the same result as the one shown in this video: https://www.youtube.com/watch?v=Gk5tOOD_ArY&amp;t=39s . I'm wondering if there's a guide how to make something like this. Please help.

My main problem is parenting the rope to a path so that the whole rope follows/curves along the path.
You don't have to move the rope, Depending on how you construct the rope you could animate either the Bevel Factor or the Dupliframes end frame, and have the rope 'grow' along the path.  It seems that this is what they've done in the linked video.  Albeit with some rotation to make it appear to be moving.