Introduction to the fundamentals of quantum mechanics. Probability with discrete and continuous systems. The eigenvalue problem, and other mathematical techniques useful for understanding quantum systems. Quantization in macroscopic systems using classical physics. Operators. Solving classic problems in one-dimension, including the free particle, the particle in a box, the harmonic oscillator, and the impulse (changing the dimensions of a box instantly). Time permitting, we will discuss transmission, reflection, interference, and tunneling.