# Loci Browse Articles

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This utility uses the free Flash player plug-in resident in most browsers to provide the student with interactive examples and practice problems to aid in learning about spherical coordinates.
A module for exploration of the mathematical properties of velocity in one dimension

This paper uses graphics and animations to illustrate how to construct root and weight diagrams for Lie algebras, and how the root and weight diagrams can be used to identify subalgebras.

A Biological ESTEEM module in the Ecology Category. This workbook models the growth of two populations: phage and the bacteria they infect.

Let binary integer linear programming solve Sudoku puzzles and variations on the game for you. Also, learn to prove theorems regarding puzzle creation. Java applets allow for interactive exploration, and exercises and challenge problems are included.

An article about "lite applets," flexible and powerful tools that can be used as part of highly interactive curriculum modules that are scientifically and pedagogically sound.

This gallery of images and animations shows many examples of how the POVray ray-tracing software can be used to display examples in three-dimensional geometry.

Part of the MathDL OSSLET Collection, this flexible and easily-used applet can be used to investigate and animate up to three functions involving up to four parameters.
An article about software tools that have been developed in Geometer's Sketchpad to aid in constructions in non-Euclidean geometry
This dynamic Java applet developed with support from the NSF (Dynamic Visualization Tools for Multivariable Calculus, DUE-CCLI Grant #0736968)) allows the user to simultaneously graph multiple 3D surfaces, space curves, parametric surfaces, vector fields, contour plots, and more in a freely rotatable 3D plot. 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. See the corresponding web page for documentation and a list of guided explorations developed for students to use with this exploration applet.