Modeling in animation is basically building a 3D version or sculpture of a character.

Animation in general is the frame by frame photographic process in which the illusion of movement is created. Animation can be moving a box from one side of the screen to another, or a character in a fight scene.

Both subjects you are asking about arent that different. They both follow this concept. Except the facial animation is just the animation of the face, changing the character's expression or mood. This is essential for the character, for he is the actor in your movie.

Hope this helps.

Both are bachelor degrees but 3D animation degree is specialization in 3D Character animation, 3D rendering, creating 3D models etc.

You could get thin, 'invisible' thread and tie it to your character

a Disney Character in the animation film Pocahontas