Exordium can mean several things:
Exordium , in Western classical rhetoric is the introductory section of a discourse.
Surat Al-Fatiha ("The Opening" or "The Exordium"), the opening chapter of the Qur'an.
The Mass for the Feast of the Sacred Heart.
Technology in Revelation Space#Exordium, a fictional experiment involving time travel from the Revelation Space series
Exordium - An EP by Dutch symphonic metal band After Forever.
The Exordium, the series of books written by Mehdi Zand
Exordium series, the science fiction book series written by Sherwood Smith and Dave Trowbridge
The title of an orchestral work written by Daniel James Colson