Tag: MAST20026

Convergence and continuity of a function
This applet illustrates the εδ 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/convergenceandcontinuityofafunction

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/differentiabilityofafunction

Convergence of a sequence
This applet illustrates the εM definition of convergence of a sequence.melbapplets.ms.unimelb.edu.au/2021/07/12/convergenceofasequence

Riemann sums and partitions
This applet illustrates upper and lower Riemann sums and refinement of partitions.melbapplets.ms.unimelb.edu.au/2021/07/12/riemannsumsandpartitions

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/sequencesandseries