### Highlighted pages

- Parametrized curve and derivative as location and velocity

Description of a parametrization of a curve as the position of a particle and the derivative as the particle's velocity. Illustrated with animated graphics. - The cross product

Introduction to the cross product with a focus on its basic properties. Includes an interactive graphic to illustrate these properties of the cross product. - Level sets

A introduction to level sets. Illustrates level curves and level surfaces with interactive graphics. - Parametrization of a line

Introduction to how one can parametrize a line. Interactive graphics illustrate basic concepts. - 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

- Characterization of linear 2D flows
*Added Dec. 4, 2013* - The derivative, critical points, and graphing
*Added Oct. 22, 2013* - A graphical approach to finding equilibria of discrete dynamical systems

By plotting the updating function and the diagonal, one can read off the equilibria from their intersections of the two graphs.*Added Sept. 11, 2013* - More new items

### Highlighted applets

The level curves of an elliptic paraboloid are shown as the intersection of a horizontal plane with the graph.

The angles of a stick figure form a nine-dimensional vector determining the stick figure's configuration.

### 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.