Calculus Index

Index to Project Links Modules Related to Calculus

To find out more about what the version numbers mean, click on any of the stoplights.

Curvature and Curve Design Module

v 0.0

Curvature is applied to the task of aesthetic curve design by using a fairness metric. The student interacts with different aspects of curvature.

Authors: Bruce Piper, Bruce Buhler
Keywords: calculus, curve, curvature
Learning Level: College
Platform: Project Links base technical requirements
Applets:
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v 0.4

In this module, simple differential equations are used to study the effects of the "drag" force which slows the motion of a body moving through a fluid (in this case: air) and is responsible for the safe landing of the skydiver.

Authors: Howard Littman, Bernard Fleishman
Keywords: calculus
Learning Level: College
Platform: Project Links base technical requirements
Applets: Drag Forces, Skydiver
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v 0.6

The problem of creating a vector field as a gradient of a scalar function is illustrated in Electrostatics. Starting from the electostatics of a single point charge, students are led through a series of excercises, to the study of electrostatics of a more complex assembly of point charges and continuous distribution of charges.

Authors: Kongki Min, Michael Malak, Stephen Irving, Colin Fredericks
Keywords: calculus, physics
Learning Level: College
Platform: Project Links base technical requirements
Applets:
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v 0.4

The gradient, its interrelations with other math concepts, and its applications to science and engineering. Rapid-change vector; normal vector to level surface. The gradient and gradient operator in cartesian and other coordinate systems. The gradient as related to differentiability and the directional derivative.

Authors: Edith Luchins, Tom Rousseau, Steven Irving, Sara Schubert
Keywords: calculus, gradient
Learning Level: College
Platform: Project Links base technical requirements
Applets: Visualizing the Gradient (2D), Visualizing the Gradient (3D)
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v 0.2

In this module, we will explore a variety of concepts related to first-year college level calculus. We will start by examining a simple see saw model, a model with which should already be familiar to you. We will then expand this model to include balancing in higher dimensions and introduce such notions as moment (torque) and centroids.

Authors: Joe Ecker, Ken Manning, Sam Sham, Steve Joy
Keywords: calculus, moment, centroid, see saw, integral
Learning Level: College
Platform: Project Links base technical requirements
Applets: Balance Applet
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