Tag: MAST10021

  1. Convergence and continuity of a function

    This 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.

    melbapplets.ms.unimelb.edu.au/2021/07/12/convergence-and-continuity-of-a-function

  2. 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/differentiability-of-a-function

  3. Convergence of a sequence

    This applet illustrates the ε-M definition of convergence of a sequence.

    melbapplets.ms.unimelb.edu.au/2021/07/12/convergence-of-a-sequence

  4. 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/sequences-and-series

  5. 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/logistic-population-growth

  6. Logistic population growth with harvesting

    This applet explores a logistic population growth model with constant harvesting.

    melbapplets.ms.unimelb.edu.au/2021/07/09/logistic-population-growth-with-harvesting

  7. 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/model-of-a-spring-with-drag-and-forcing

  8. Exploring an ODE

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

    melbapplets.ms.unimelb.edu.au/2021/07/07/exploring-an-ode