# 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