Math Insight

Highlighted pages

  • Parametrization of a line
    Introduction to how one can parametrize a line. Interactive graphics illustrate basic concepts.
  • An introduction to conservative vector fields
    An introduction to the concept of path-independent or conservative vector fields, illustrated by interactive graphics.
  • 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.
  • Introduction to differentiability in higher dimensions
    An introduction to the basic concept of the differentiability of a function of multiple variables. Discussion centers around the existence of a tangent plane to a function of two variables.
  • Level sets
    A introduction to level sets. Illustrates level curves and level surfaces with interactive graphics.

Highlighted applets

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.