### Highlighted pages

- Spherical coordinates

Illustration of spherical coordinates with interactive graphics. - Forming planes

A description of ways to specify a plane. Interactive graphics illustrate the concepts. - The idea of the curl of a vector field

Intuitive introduction to the curl of a vector field. Interactive graphics illustrate basic concepts. - Subtleties about divergence

Counterexamples illustrating how the divergence of a vector field may differ from the intuitive appearance of the expansion of a vector field. - An introduction to parametrized curves

An introduction to how a vector-valued function of a single variable can be viewed as parametrizing a curve. Interactive graphics illustrate the way in which the function maps an interval onto a curve.

### Recent news

Redesigned for small screens

by Duane Q. Nykamp on May 31, 2012Interactive Gallery of Quadric Surfaces

by Duane Q. Nykamp on March 14, 2012- More recent news

### Recent pages

- Applications of integration
*Added Oct. 27, 2015* - Integrals and the Fundamental Theorem of Calculus
*Added Oct. 27, 2015* - Riemann sums and the definite integral
*Added Oct. 27, 2015* - More new items

### Highlighted applets

Illustration of a linear transformation mapping the unit cube to a parallelepiped while reversing orientation.

Demonstration of the effect of applying a function repeatedly to a given starting value.

### Welcome to Math Insight

The Math Insight web site is a collection of pages and applets designed to shed light on concepts underlying a few topics in mathematics. The focus is on qualitative description rather than getting all technical details precise. Many of the pages were designed to be read even before students attend lecture on the topic, so they are intended to be somewhat readable introductions to the basic ideas.

You can browse the pages organized into threads, which are sequences through a subset of pages organized by particular topics. An index can help you find pages discussing a particular term. You can also search through the pages, applets, and image captions. A few pages allow you to change the notation system used to render the mathematics.

We hope Math Insight can help you understand key mathematical concepts. We welcome comments on how we can improve it.