Towards quantum mechanics (review)-relevant experiments, wave particle duality , uncertainty principle, the quantum concept, postulates of quantum mechanics , Schrodinger equation, probability interpretation, simple one-dimensional potential problems.
Operators and operator algebra, eigenfunctions and eigenvalues,
expectation values, Dirac bra-kets, Hilbert space of state vectors,
unitary transformations.
Angular momentum, rigid rotator, the Hydrogen atom isotropic oscillator, Stern-Gerlach experiment and spin, spin-half particle in a magnetic field, the harmonic oscillator.
Addition of angular moment, CG coefficients, Wigner-Eckart theorem.
Approximate methods-time independent perturbation theory, variational method , WKB approximation.
Quantum Information: Why quantum computing, Qubits, simple algorithms.

1.    Harry Paul, Int. to Quantum Theory,  Camb. Uni. Press (2008)
2.    J. J. Sakurai, Modern Quantum Mechanics, Addison Wesley (1993)