"I think I can safely say that nobody understands quantum mechanics." - Richard Feynman You might have heard of Particle-Wave Duality or the Heisenberg Uncertainty Principle, but where do these notions come from and why are they necessary? This class will give a semi-rigorous mathematical introduction to quantum mechanics, and use our formulation to look at basic problems. This class will move fast, and although you may not be able to truly understand quantum mechanics, you will be able to see how it is applied. Based on interest and remaining time, we can discuss more advanced topics (paradoxes (Schrodinger's cat, EPR), complex potentials, applications, etc.)