This is probably the last of three articles on how piecewise-linear functions could be used as a helpful on-ramp to the big ideas in calculus. In the first article, we saw how it’s possible to develop ...

In mathematical calculus, integration and differentiation are two of the most interesting concepts. Both of these concepts are concerned with how things change over time. Since every material object ...

Cylindrical and spherical coordinates, double and triple integrals, line and surface integrals. Change of variables in multiple integrals; gradient, divergence, and ...

To approximate the definite integral we split the region up into many thin slices. For each slice we may approximate its area using rectangles, in which case we could either use right-endpoints, ...