Select Syllabus.
Select the Syllabus tool from the site Tool Menu.
Manage Syllabus Items
Select Manage from the menu in the Syllabus tool.
Publish/Unpublish Syllabus Item
Check/Uncheck the box in the Publish column next to the item you wish to publish/unpublish and then select Update.
Confirm Update
Select Update again to confirm the change.