Heisenbergs uncertainty principle, then Schrodinger equation and normalization, time dependent and independent, infinite square well, expectation values, dirac notation, Hermitian operators, Adjoint operators, Commutators, Orthogonality and Eigenfunctions, The harmonic oscillator, Angular momentum, Spherical Polar Co-ordinates, Central Potentials, Hydrogenic atoms, Degeneracy, Multi-particle wavefunction, two electron systems, Time-independent perturbation theory, time-dependent quantum theory