Source : Webster's Revised Unabridged Dictionary (1913)

Course \Course\, v. t. [imp. & p. p. {Coursed} (k?rst)); p. pr.
   & vb. n. {Coursing}.]
   1. To run, hunt, or chase after; to follow hard upon; to
      pursue.

            We coursed him at the heels.          --Shak.

   2. To cause to chase after or pursue game; as, to course
      greyhounds after deer.

   3. To run through or over.

            The bounding steed courses the dusty plain. --Pope.

Coursing \Cours"ing\ (k?rs"?ng), n.
   The pursuit or running game with dogs that follow by sight
   instead of by scent.

         In coursing of a deer, or hart, with greyhounds.
                                                  --Bacon

Source : WordNet®

coursing
     n : hunting with dogs that are trained to chase game by sight
         instead of by scent