Newbie question about proper shutdown sequence

[Dres Den]

I'm using Derbie as an embedded database for my single-user, single-threaded, single-everything app.
My question is, if I already do a JDBC close (i.e. Connection.close()), do I still have to issue a:

DriverManager.getConnection
("jdbc:derby:;shutdown=true");

(I know that the ensuing SQLException about Derby shutdown is normal).

(PS. I know this is a general JDBC question, but Derby seems like a friendlier place to ask! :))