We investigate geometric sets determined by implicit equations.

Working with the dot product and cross product.

We move things around in space.

We think about the derivative of vector-valued functions.

We study how to bounce vectors off of curves.

We find the distance between points and other objects.

We think about surfaces in different ways.

We identify surfaces.

We investigate quadric surfaces.

Investigate the distance between points and lines or planes.

We describe mysterious functions

We describe areas and volumes of regions using iterated integrals.

We work some examples of line integrals and vector fields.

Two calculus students attempt to “break” math.

We give ourselves a choice of integrals to compute.

We compute volumes using the divergence theorem.