Tag: MAST10009

  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.


  2. Differentiability of a function

    This applet illustrates the definition of derivative as the limit of the gradient of a chord.


  3. Convergence of a sequence

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


  4. Riemann sums and partitions

    This applet illustrates upper and lower Riemann sums and refinement of partitions.


  5. 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.


  6. 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.


  7. Logistic population growth with harvesting

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


  8. Model of a spring with drag and forcing

    This applet simulates a spring acting under gravity, subject to drag and an external driving force.


  9. Exploring an ODE

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