When Dualcaster Mage enters the battlefield, copy target instant or sorcery spell. You may choose new targets for the copy.
6/8/2016 Dualcaster Mage’s triggered ability can target (and copy) any instant or sorcery spell, not just one with targets. It doesn’t matter who controls it.
6/8/2016 As Dualcaster Mage’s triggered ability resolves, it creates a copy of a spell on the stack. The copy isn’t cast, so abilities that trigger when a player casts a spell won’t trigger.
6/8/2016 The copy will have the same targets as the spell it’s copying unless you choose new ones. You may change any number of the targets, including all of them or none of them. If, for one of the targets, you can’t choose a new legal target, then it remains unchanged (even if the current target is illegal).
6/8/2016 You can’t choose to pay any additional costs for the copy. However, effects based on any additional or alternative costs paid for the targeted spell are copied as though those same costs were paid for the copy.
6/8/2016 If the spell is modal (that is, it says “Choose one —” or the like), the copy will have the same mode. You can’t choose a different one.
6/8/2016 If the spell has an X whose value was determined as it was cast (like Earthquake does), the copy has the same value of X.
6/8/2016 If the copy says that it affects “you,” it affects the controller of the copy, not the controller of the original spell. Similarly, if the copy says that it affects an “opponent,” it affects an opponent of the copy’s controller, not an opponent of the original spell’s controller.