Tag: Calculus

  1. Tangency: chords, tangents and velocity of a parametric curve

    This applet explores the velocity vector of a parametric curve, and its relationship to the chord r(t+h)-r(t) and the difference quotient.

    melbapplets.ms.unimelb.edu.au/2021/08/19/tangency-chords-tangents-and-velocity-of-a-parametric-curve

  2. 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

  3. 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

  4. 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

  5. Riemann sums and partitions

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

    melbapplets.ms.unimelb.edu.au/2021/07/12/riemann-sums-and-partitions

  6. 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

  7. Inverse of a function

    This applet shows the construction of the inverse of a function, and can be used to explore whether the inverse is a function.

    melbapplets.ms.unimelb.edu.au/2021/07/09/inverse-of-a-function

  8. Parametric curves

    This applet plots and traces a parametric curve, given as a vector function in R2.

    melbapplets.ms.unimelb.edu.au/2021/07/09/parametric-curves

  9. Two parametric curves

    This applet plots two parametric curves simultaneously. It can be used to explore whether two particles collide.

    melbapplets.ms.unimelb.edu.au/2021/07/09/two-parametric-curves

  10. 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

Number of posts found: 17