Hello everyone, i've been playing amumu for a really long time, and i wanted to share some of my knowledge with everyone :)

Easy and straight forward:
13 armor yellow and 12 magic resist for late game tank and early sustain in fights and jungle
15% atack speed for speed in jungle
Quints move speed for good roaming and mobility

Movement speed and defensive stats for our awesome tank.

Can also swap around with thornaail, force of nature, depending on the other team.

E is your main focus for ganking and w is the second spell gettig leveled for a source of damage

You need flash for iniciation and Smite for jungling. ALWAYS take this 2 spells!

Pros:
tanky with great iniciation and teamfight power
Stustained in jungle
Awesome ganking power before and level 6
Good Mobility

Cons:
Slow in early jungle/mid game jungle
Blue dependent
Hard to master due to skill shot Q

Finally jungle, i've been doing this route for ages and it works just perfect
Start in wolfs, ask for help from your team.
Move to blue, smite when it is around 500 hp
Head straight to red and kill it withouth smite.
Gank bot if you started on blue side or gank top if you started at Purple.

You level Q at level 3 after red for ganking power

Tank iniciator, defend your carry's and shut down their carry's, iniciate with Q or flash Q and ulti when 3/4/5 enemy's gathered around you

Play amumu in solo que and win.