AKSHAT2012

currently i am joining IIT for an ee btech(b e) degree. i am very passionate for continuing my studies in physics after it, but still i want to study Q mech,G R,on my own
here is what i am familiar with as of now.
MATHS
CALCULUS -TILL pde (variable separable),ODE -double order .
vector calculus till stokes threorem(only the preliminaries)

PHYSICS
Q mech till application to hydrogen atom.
some basic statistical mech.
S R till simultaniety, velocity addition.

now i want to go to advanced q mech, start G R.

please tell 1.if this math is sufficient 2. what books are best 3.what more (and in how much detail i have to learn more).4. what exactly comes in advanced q mech 5.anything u would like to add.
i will be greately indebted.
(thanks in advance) -akshat