Students are gently introduced to the relationship between contour maps and surfaces.

Students draw the 3D graphs of equations using three variables. They make choices for drawing a stack of curves in parallel planes and a curve in a perpendicular plane (e.g. substituting in values for \(x\), \(y\), or \(z\). )

Students use their arms to act out stationary and non-stationary states of a quantum particle on a ring.

Students use their arms to act out two spin-1/2 quantum states and their inner product.

Students consider the dimensions of spin-state kets and position-basis kets.