#### Geometric sets

We investigate geometric sets determined by implicit equations.

#### Dot products and cross products

Working with the dot product and cross product.

#### Moving things around

We move things around in space.

#### Derivatives of vector-valued functions

We think about the derivative of vector-valued functions.

#### Mirrored curves

We study how to bounce vectors off of curves.

#### Distances between points and...

We find the distance between points and other objects.

#### Considering surfaces

We think about surfaces in different ways.

#### Identifying surfaces

We identify surfaces.

#### Distance between points and...

Investigate the distance between points and lines or planes.

#### Mysterious functions

We describe mysterious functions

#### Describing regions

We describe areas and volumes of regions using iterated integrals.

#### Line integrals

We work some examples of line integrals and vector fields.

#### Breaking math

Two calculus students attempt to “break” math.

#### Choosing integrals

We give ourselves a choice of integrals to compute.

#### Volume and the divergence theorem

We compute volumes using the divergence theorem.