MIT Course: Quantum Mechanics

This course offers a sophisticated view of quantum mechanics and its proper mathematical foundation. Completing the course was really difficult since everal topics were out of my range. It was still challening and pushed me to research more about quantum mechanics.
What I tried to learn:
Spin one-half and Spin Operators
Vector spaces and linear operators
Dirac’s Bra-ket notation
Uncertainty Principle and compatible operators
The Schrodinger and Heisenberg pictures of quantum mechanics. Axioms of quantum mechanics
Coherent States. Two state systems and applications to NMR
Entanglement and Bell’s inequality. Teleportation. No cloning
Angular momentum and central potentials. Addition of angular momentum
Density matrices and decoherence.