Classic vs Forever: every talent and spell change by class · stillsixty

Mage changes

Arcane

Fire

Wake of FireWas Improved Fire Blast; Max rank ~~1.5 sec~~ to 2 sec; Row 2 to 1; Ranks 3 to 2ChangedTalent · Fire
IncinerationWas Incinerate; Max rank 4% to 6%; Row 3 to 1; Ranks 2 to 3ChangedTalent · Fire
Improved FireballColumn 2 to 3ChangedTalent · Fire
ImpactRow 1 to 2; Ranks 5 to 3ChangedTalent · Fire
Burning SoulColumn 4 to 1; Ranks 2 to 3ChangedTalent · Fire
Pyroblast~~148 to 195~~ to 101 to 131; 56 to 44ChangedTalent · Fire
Improved ScorchRank 2 ~~66%~~ to 67%ChangedTalent · Fire
Heating UpNon-periodic critical strikes with Fireball, Frostfire Bolt, Fire Blast, and Scorch reduce the cast time of your next…NewTalent · Fire
Master of ElementsYour Fire and Frost critical strikes will refund 30% of their base mana cost.ChangedTalent · Fire
Blast Wave~~160 to 192~~ to 154 to 184; No longer needs PyroblastChangedTalent · Fire
CombustionWhen activated, this spell causes each of your Fire damage spell hits to increase your critical strike chance with Fire…ChangedTalent · Fire
Frostfire BoltLaunches a bolt of frostfire at the enemy, causing 270 to 314 Frostfire damage, slowing movement speed by 40% and…NewSpell · Fire
FireballMax rank ~~596 to 760~~ to 425 to 541; 76 to 60ChangedSpell · Fire
Fire BlastMax rank ~~446 to 524~~ to 417 to 489ChangedSpell · Fire
FlamestrikeMax rank ~~381~~ to 382; ~~340~~ to 332ChangedSpell · Fire
Fire WardMax rank ~~920~~ to 913ChangedSpell · Fire
ScorchMax rank ~~237 to 280~~ to 167 to 196ChangedSpell · Fire

Frost

Frost WardingIncreases the Armor and resistance given by your Frost Armor and Ice Armor spells by 30%. In addition, gives your Frost…ChangedTalent · Frost
Elemental PrecisionMax rank 6% to 5%; Ranks 3 to 5ChangedTalent · Frost
PermafrostRank 1 4% to 3%; Column 4 to 2ChangedTalent · Frost
FrostbiteColumn 2 to 4MovedTalent · Frost
Frost ChannelingRow 4 to 3MovedTalent · Frost
Ice LanceDeals 28 to 32 Frost damage to an enemy target. Deals 300% increased damage to Frozen targets.NewTalent · Frost
Improved BlizzardAdds a Chill effect to your Blizzard spell. This effect lowers the target's movement speed by 40% for 1.5 sec.ChangedTalent · Frost
Ice BlockRow 5 to 4MovedTalent · Frost
ShatterColumn 3 to 4; No longer needs Improved Frost Nova; Ranks 5 to 3ChangedTalent · Frost
Improved Cone of ColdRank 2 ~~25%~~ to 23%; Column 3 to 1ChangedTalent · Frost
Cold SnapRow 3 to 5ChangedTalent · Frost
Fingers of FrostGives your Chill effects a 15% chance to grant you the Fingers of Frost effect, which treats your next 2 spells cast as…NewTalent · Frost
Winter's ChillRank 4 5 to 4ChangedTalent · Frost
Ice Barrier~~455 damage~~ to 448 damage; Needs Cold SnapChangedTalent · Frost
FrostboltMax rank ~~515 to 555~~ to 457 to 493ChangedSpell · Frost
Frost NovaMax rank ~~73 to 82~~ to 72 to 79ChangedSpell · Frost
BlizzardMax rank ~~1192~~ to 1168ChangedSpell · Frost
Frost WardMax rank ~~920~~ to 913ChangedSpell · Frost
Cone of ColdMax rank ~~338 to 368~~ to 328 to 358; ~~50%~~ to 40%ChangedSpell · Frost
Cone of Cold
Spell · FrostChanged
Classic
Cone of ColdRank 5/5
555 Mana
Instant10 sec cooldown
Targets in a cone in front of the caster take ~~338~~ to ~~368~~ Frost damage and are slowed by ~~50%~~ for 8 sec.
Forever
Cone of ColdRank 5/5
555 Mana
Instant10 sec cooldown
Targets in a cone in front of the caster take 328 to 358 Frost damage and are slowed by 40% for 6 sec.

Comprehension

What changed during the beta, update by update, is in the patch notes. To try a build, use the talent calculator.