Well the basic part of myrmidarch magus is that rather than channel touch spells through sword strikes, like a duskblade did in 3.5, shoots them via arrows. The most common of these is shocking grasp (http://www.d20pfsrd.com/magic/all-spells/s/shocking-grasp), which adds 1d6 damage per caster level, for a level 1 spell slot, and then up to 10d6 once you get the metamagic feat intensified spell (http://www.d20pfsrd.com/feats/metamagic-feats/intensified-spell-metamagic), thus basically allowing you to strike for 10d6+1d8 or so at level 10, with only a second level spell slot expended. There are additional things to do, but it's kinda like enchanting your arrow with a spell that you fire, and when it hits, the spell goes off.<br/><br/>