List of applets
- Applet: A point on the line determined by two vectors (Interactive)
A movable point that is constrained to be on the line determined by a direction vector and a point that is represented by a vector from the origin. - Applet: A point or a line
Illustration how the graph of the equation x=3 could be a point or a line, depending on the underlying dimension. - Applet: Polar coordinates (Interactive)
Illustration of polar coordinates demonstrating the effect of changing each coordinate on the location of a point. - Applet: Polar coordinates map of rectangle (Interactive)
Illustration of how the polar coordinate transformation maps a rectangle onto on the Cartesian plane. - Applet: Area transformation of polar coordinates map (Interactive)
Illustration of how the polar coordinate transformation maps a rectangle onto on the Cartesian plane and changes area. - Applet: Polar coordinates with polar axes (Interactive)
Illustration of polar coordinates as a point in polar axes, demonstrating the relationship between polar and Cartesian coordinates. - Applet: Fitting a linear model to population change as a function of population size (Interactive)
When plotting population change verses population size, one can fit the points with a linear equation to determine a discrete dynamical system model describing population growth. - Applet: The dynamics of a population with harvesting of a fixed number each time period (Interactive)
When a fixed number of individuals are harvested each time period, the population may explode or die out, depending on the initial conditions. - Applet: The dynamics of a population with variable harvesting each time period (Interactive)
Exploration of the effect of making the number of individuals are harvested each time period depend on the population size. - Applet: Predator-prey bare phase plane
- Applet: Predator-prey phase plane solution
- Applet: Predicting position from incomplete data
Three predictions of a runner's position based on different information as compared to his actual position. - Applet: Product rule change in area
Illustration of product rule in calculating the derivative of the area of a rectangle with time varying width and height. - Applet: Pure time differential equation graphical example
- Applet: Quadratic approximation to a function (Interactive)
Exploring how to create the best quadratic approximation to a function around a point. - Applet: Determine phase plane for rate neurons with no self-coupling (Interactive)
- Applet: Determine phase plane for rate neurons with no self-coupling, solution (Interactive)
- Applet: Riemann sum of area, example with exponential
- Applet: Construct a riemann sum (Interactive)
- Applet: Riemann sum of velocity
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