Convergence and continuity of a functionThis applet illustrates the ε-δ definitions of the limit and continuity of a function. It can be used to investigate (non-)convergence or (dis)continuity of real functions, including the Dirichlet everywhere discontinuous function and variants.
Differentiability of a functionThis applet illustrates the definition of derivative as the limit of the gradient of a chord.
Convergence of a sequenceThis applet illustrates the ε-M definition of convergence of a sequence.
Sequences and seriesThis applet shows the relationship between terms of a sequence and the partial sums of a series. It also allows exploration of some important sequences & series including geometric and harmonic sequences.
Logistic population growthThis applet explores a logistic population growth model with no harvesting. The phase plot is shown alongside the plot of p vs t.
Logistic population growth with harvestingThis applet explores a logistic population growth model with constant harvesting.
Model of a spring with drag and forcingThis applet simulates a spring acting under gravity, subject to drag and an external driving force.
Exploring an ODEThis applet displays the direction field and solutions for an ordinary differential equation (ODE).