Beamer - Compile each section into a separate PDF including complete Table of Contents in each file

Question

Let us suppose I have a Beamer presentation structured roughly like this:

Title page
Table of contents
    sec1
    sec2
    sec3
    ...
\section{sec1}
  \frametitle{frame1}
  \frametitle{frame2}
  \frametitle{frame3}
  ....
\section{sec2}
  \frametitle{frame1}
  \frametitle{frame2}
  \frametitle{frame3}
  ....
\section{sec3}
  \frametitle{frame1}
  \frametitle{frame2}
  \frametitle{frame3}
  ....
...

I would like to compile each single section into a separate PDF, but each PDF should include the title page and the complete table of contents.

Is that possible? How can I achieve that?