1Geometric sets

We investigate geometric sets determined by implicit equations.

2Dot products and cross products

Working with the dot product and cross product.

3Moving things around

We move things around in space.

4Derivatives of vector-valued functions

We think about the derivative of vector-valued functions.

5Mirrored curves

We study how to bounce vectors off of curves.

6Distances between points and...

We find the distance between points and other objects.

7Considering surfaces

We think about surfaces in different ways.

8Identifying surfaces

We identify surfaces.

9Quadric surfaces

We investigate quadric surfaces.

10Distance between points and...

Investigate the distance between points and lines or planes.

11Mysterious functions

We describe mysterious functions

12Describing regions

We describe areas and volumes of regions using iterated integrals.

13Multiple integrals

14Line integrals

We work some examples of line integrals and vector fields.

15Breaking math

Two calculus students attempt to “break” math.

16Choosing integrals

We give ourselves a choice of integrals to compute.

17Volume and the divergence theorem

We compute volumes using the divergence theorem.

18A tale of eight integrals


You can download a Certificate as a record of your successes.