List of applets
Applet: Lotka-Volterra model, with functions of time and population display (Animation, Interactive)
Illustration of a predator-prey system by plots of populations size versus time and a display of the number of individuals in the populations.
Applet: Macroscopic and microscopic circulation in three dimensions (Interactive)
An illustration of the relationship between the macroscopic circulation of a vector field around a curve and the microscopic circulation along surfaces whose boundary is the curve.- Applet: Exploring directions when iterate a matrix times a vector (Interactive)
Applet: Modifying the Euler approximation to a pure time differential equation (Interactive)
Illustration of modifications of the Euler algorithm fixes the slope from the different points of each interval to estimate the solution.
Applet: A Möbius strip is not orientable (Interactive)
One cannot orient a Möbius strip by choosing a normal vector that varies continuously as one varies a point along the surface.
Applet: Neuron firing rate in response to input and nicotine levels
A fictitious representation of the firing rate of a neuron in response to an input and nicotine level.
Applet: Neuron firing rate function with tangent plane
A tangent plane to the graph of a fictitious firing rate function of a neuron in response to an input and nicotine level.- Applet: Neuron model bare phase plane
- Applet: Determine phase plane of neuron model, fixed parameters
- Applet: Trajectory 0.18 for neuron model with fixed parameters
- Applet: Trajectory 0.3 for neuron model with fixed parameters
- Applet: Neuron model phase plane with solution
- Applet: Explore neuron model with just sodium channels
Applet: Non-differentiable function with partial derivatives (Interactive)
Illustration of a function whose partial derivatives at the origin exist and are zero, but who is not differentiable at the origin.
Applet: Non-differentiable function with partial derivatives
Illustration of a function whose partial derivatives at the origin exist and are zero, but who is not differentiable at the origin.
Applet: Non-differentiable function with partial derivatives and no tangent plane (Interactive)
Illustration of a function whose partial derivatives at the origin exist and are zero, but that has no tangent plane at the origin.
Applet: Non-differentiable function with partial derivatives and no tangent plane
Illustration of a function whose partial derivatives at the origin exist and are zero, but that has no tangent plane at the origin.
Applet: Slopes illustrating the discontinuous partial derivatives of a non-differentiable function (Interactive)
The discontinuous partial derivatives of a non-differentiable function are demonstrated by jumps in the slopes of the graph around the point of discontinuity.
Applet: Nonlinear 2D change of variables map (Interactive)
Illustration of how a nonlinear change of variables maps a rectangle onto the $xy$-plane.
Applet: Nonlinear 2D change of variables animation (Animation, Interactive)
Animation of the mapping of rectangle by a nonlinear change of variables.
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