Q:

Wording for an application/sub-system that allows editing user profile pages

I am brainstorming for an application and I am struggling to get the terminology correct. 
The application has a profile page which the user can edit and an admin page.
The users will have a profile page which is made public. (not editable for third parties)
How are such applications like this called, CMS? 
I think a CMS is bigger with no public user pages.
What is the best term for:

The public profile page.
The private user area.
The admin page.

A:

If the intention is that the users should share information about themselves, I would call it a "Profile" - so it would be a "profile page" and "edit profile".
The "private user area" you mention sounds like it's the main feature of the application - It could be called the landing page, news feed (like Facebook), or even dashboard if it's customizable.
The admin page should probably be called "Site configuration", "Settings", or similar, depending on the kind of settings on the page. Lawton suggestion for "Control panel" could also be relevant.
Based on the information you have given I think it would be categorized as a Social Networking site, since it's centered around user profiles (such as Facebook, Linkedin, etc.). Content Management Systems (CMS) on the other hand is centered around content (such as StackOverflow, or SlideShare).

