Quest #109 - Elementary Training
Location: Alltrades Abbey; Man in red inside Alltrades Abbey
Request: Defeat 2 Metal Slimes (#046) while under the effect of the Mage's ability, Wizard Ward.
Solution: The person who cast Wizard Ward must deal the finishing blow. You can "cheat" by having more than one character who knows Wizard Ward. Cast Wizard Ward with one character, knock off 2 to 3 HP and then have the other Wizard Ward character defeat the Metal Slime. You can fight them in the Quarantomb.
Reward: Armamentalist Vocation Unlocked
Pre-req: Wizard Ward
Repeat: No
Notes: None

Quest #110 - Force in the Field
Location: Alltrades Abbey; Man in red inside Alltrades Abbey
Request: Defeat 10 White Tigertaurs (#130) by successfully casting the Armamentalist's Sap spell on them twice and by defeating them while under the effect of Fire Fource.
Solution: You can find them north of Swinedimples.
Reward: Fencing Jacket and Fencing Frock
Pre-req: Lv 15 Armamentalist
Repeat: No
Notes: None

Quest #111 - The Fource...Forever
Location: Alltrades Abbey; Man in red inside Alltrades Abbey
Request: Defeat various monsters with each Fource effect.
Solution: In Magmaroo use the technique Fire Fource to defeat Magmalice (#168), around Swinedimples use Ice Fource to defeat Great Gruffon (#129), around Upover use Gale Fource to defeat Cumulus Rex (#158), around Bloomingdale let 8 Slimes combine into King Slime (#080) and use Life Fource to defeat it. Finally use Funereal Fource to defeat Raving Reaper (#134) in the Old School in Swinedimples. Report back to the man in the Abbey.
Reward: "Armamentalist Album": Fource abilities can effect the whole party
Pre-req: Finish Quest 110, Lv 40 Armamentalist
Repeat: No
Notes: None

[Taken from Zaraf's Quest Guide (with slight edits by yours truly)]