# Loci Browse Articles

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This dynamic Java applet allows the user to simultaneously plot multiple 3D surfaces, space curves, parametric surfaces, vector fields, contour plots, and more in a freely rotatable graph. This tool is intended as a dynamic visualization and exploration environment for multivariable calculus. Use it to illustrate the geometric relationships of many of the concepts of multivariable calculus, including dot and cross products, velocity and acceleration vectors for motion in the plane and in space, the TNB-frame, the osculating circle and curvature, surfaces, contour plots and level surfaces, partial derivatives, gradient vectors and gradient fields, Lagrange multiplier optimization, double integrals as volume, defining the limits of integration for double and triple integrals, parametric surfaces, vector fields, line integrals, and more.
This Flash Forum developer's article includes source code and instructions for building an applet that allows the user to enter expressions with up to four parameters and then to vary the parameters in order to fit the curve to user data.
This collection of pdf files use the PascGalois software for guided explorations in the context of Number Theory course.
An article that introduces a new type of Web document, the Mathwright Microworld, a "portal" to a multipage, interactive book.
This Law-of-Large-Numbers applet and supporting activities is developed as part of the Statistics Online Computational Resource (SOCR).
This collection of animations, embedded within the html document in gif and quicktime formats, illustrate computation of volumes via integration for first or second semester calculus students.
An article that explores visual patterns in Pascal triangles with entries determined by arithmetic in finite groups
Content classification for mathematics education

These are designed as supplements to a modern algebra course. They are designed to help students visualize many of the important concepts from a first semester undergraduate abstract algebra course.

This utility uses the free Flash player plug-in resident in most browsers to allow the user to graph a surface of the form z = f(x,y) on a customized scale and dynamically rotate the three-dimensional picture.