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.


  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.


  3. Differentiability of a function

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


  4. Convergence of a sequence

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


  5. Riemann sums and partitions

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


  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.


  8. Parametric curves

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


  9. Two parametric curves

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


  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.


Number of posts found: 17