When you set up syncing with an account the Notes app generally syncs with a folder in your email account. This only works with some types of email accounts. If you want to get rid of this you can use the following instructions. Hold in mind that when you are done the only backup of your notes will be in the iTunes backup, and you can't restore just the notes from that. You'd have to restore the entire iPad to get the notes back.
Turn off your note syncing.
Now open the Notes app and make one note.
Turn your syncing back on.
Open the Notes app.
Wait a bit for the iPad to re-sync your notes. When it is done you should have a new Account button above the list of notes. When you tap it you'll see All Notes, On My iPad, and and the account name you were syncing with.
Tap on the account name. Select one of the notes, tap and hold to Select all and Copy the note. Go back to the On My iPad account, create a new note and paste the results.
Do this for all notes you want to keep on the iPad.
When you are done you can turn note syncing back off in your account.
Personally, I only use Notes as a kind of editable clipboard for copy and pasting between apps. Evernote is far more reliable and versatile. Once you sign up it supplies an email address you can send your current notes to, making it easy to transfer your current notes. Give it a look.