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description=A web site dedicated to illustrating underlying concepts of a few topics in mathematics.;

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math insight skip to navigation press enter skip to main content press enter home threads index about math insight page navigation top highlighted pages recent pages highlighted applets welcome to create your own interactive content like this check out our new web site doenet org highlighted pages introduction to partial derivatives the concept of partial derivatives is introduced with an illustration of heating costs interactive graphics demonstrate the properties of partial derivatives parametrization of a line introduction to how one can parametrize a line interactive graphics illustrate basic concepts 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 a line or a plane or a point examples showing how the graph of an equation depends on the underlying dimension becoming a line or a point or a plane 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 pages a birth death process added april 13 2022 a stochastic process introduction added april 13 2022 an introduction to neural coding and decoding added april 3 2022 more new items highlighted applets applet gradient and directional derivative on a mountain shown as level curves the gradient and directional derivative are illustrated by a level curve plot of a mountain range the applet interactively computes the gradient and the directional derivative at different points and directions applet function iteration 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 layout based on yaml powered by django math display by mathjax