Eevee uses the same approach as Cycles which applies textures through the selected image node in the shader editor, not by applying through the UV editor as Blender Render did. In this video starting at 1:10 I briefly talk about the difference.
Note that this course is pretty old and will be re-made for 2.8 in the next month or so (so long as Blender developers keep their schedule and don’t delay).
