Tag: MAST20026

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. 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

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.

   melbapplets.ms.unimelb.edu.au/2021/07/09/sequences-and-series