It may be said that atomic physics was born with J.J. Thompson’s discovery of the electron in 1897. However as physicists began probing matter at microscopic scales, they realized that Classical Mechanics could not explain the subatomic world despite having worked remarkably well for over two centuries. A new physics was needed. After years of struggle and many false starts a viable theory was eventually put together by the great masters Bohr, Born, de Broglie, Heisenberg, Dirac, Schrodinger, Pauli, Von Neumann and others. It is known as Quantum Mechanics, Quantum Physics or Quantum Theory and has at its core certain ideas that run counter to commonsense views about the way the physical world “ought” to behave. This has served to give it the unjustified reputation of being very difficult to learn – a notion we hope to dispel in these lectures. Some of these counterintuitive ideas are wave-particle duality, wavefunctions that instantly collapse when a measurement is made, the uncertainty principle, superposition, entanglement, quantization, interference and indeterminacy. However one should not think of quantum mechanics as an abstract theory removed from the practical world of everyday existence because many devices rely on quantum phenomena for their operation. A list would include transistors, microprocessors, lasers, light emitting diodes and MRI scanners. The primary obstacle that students eager to learn quantum mechanics usually face is that it requires competence with a formidable array of mathematical machinery including Fourier transforms, Hilbert spaces, the Dirac delta function, Clebsch-Gordan coefficients, Hermitian operators, eigenvalues, eigenvectors, special unitary groups, Legendre, Laguerre and Hermite polynomials, spherical harmonics, Bessel, Neumann and Hankel functions to name some of the more important ones. On some occasions we will develop the relevant mathematics within the lecture while at other times we simply quote results established from our mathematics lectures and point you to these resources in case you need a refresher.