Tag: MAST10009

Convergence and continuity of a function
This applet illustrates the εδ 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.
melbapplets.ms.unimelb.edu.au/2021/07/12/convergenceandcontinuityofafunction

Differentiability of a function
This applet illustrates the definition of derivative as the limit of the gradient of a chord.
melbapplets.ms.unimelb.edu.au/2021/07/12/differentiabilityofafunction

Convergence of a sequence
This applet illustrates the εM definition of convergence of a sequence.
melbapplets.ms.unimelb.edu.au/2021/07/12/convergenceofasequence

Riemann sums and partitions
This applet illustrates upper and lower Riemann sums and refinement of partitions.
melbapplets.ms.unimelb.edu.au/2021/07/12/riemannsumsandpartitions

Sequences and series
This 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.
melbapplets.ms.unimelb.edu.au/2021/07/09/sequencesandseries

Logistic population growth
This applet explores a logistic population growth model with no harvesting. The phase plot is shown alongside the plot of p vs t.
melbapplets.ms.unimelb.edu.au/2021/07/09/logisticpopulationgrowth

Logistic population growth with harvesting
This applet explores a logistic population growth model with constant harvesting.
melbapplets.ms.unimelb.edu.au/2021/07/09/logisticpopulationgrowthwithharvesting

Model of a spring with drag and forcing
This applet simulates a spring acting under gravity, subject to drag and an external driving force.
melbapplets.ms.unimelb.edu.au/2021/07/09/modelofaspringwithdragandforcing

Exploring an ODE
This applet displays the direction field and solutions for an ordinary differential equation (ODE).