Stonewall made me +1 this

Dammit.... it's really good. :/

Some other notes :

Improved smite don't help you jungle better. It just give 5 second less time to cast it again, and after your 1st smite, you should have about 10 seconds for red lizard, which you can damage enough to injure it for a smite to kill it. The 5 gold bonus isnt that useful either.

Nobody should actually target you. Either that or they coordinate a gank to take you out before destroying the rest, in which case, Banshee's Veil isn't all that useful. Force of Nature may be a better choice.

You didn't point out the fact that Frozen Heart also gives CDR and mana, 2 important things for Amumu.

Sunfire cape isn't that useful. Getting a warmog and a thornmail is nearly 3x the bonus stats for just the 35 damage per sec passive, just for 2x the price.

Amumu isn't the fastest jungler, he just happens to be good at it. However, practically all junglers can harrass Amumu before blue golem and that will trash his jungle. Even if the enemy jungler just destroy a few creeps, you'll have a hard time, and the fact that you probably can't beat him without help.

In my opinion, jungling is WAYY better than laning for most tanks. You get an uninteruppted source of gold better than your teammates (They have to harrass, get harrassed and such stuff that they can't last hit as well as a jungler). However, gold items are still viable.

Dodge disrupts your tantrum's cooldown a little. And I'll rather take Veteran Scars and Harden skin than dodge chance, since its almost always based on luck.

Hope it helps :)

Personally, I feel that amumu relies more on magic damage via despair over his physical damage when fighting blue golem. Magic pen might be better, and the fact that it helps much more late game than attack speed makes it a better option in my view.

Hope it helps :)

amazing guide, really helpful. it helps quite a bit in determining how to build according to certain teams, doesn't limit you to one build over and over. thanks!