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.
This applet illustrates the definition of derivative as the limit of the gradient of a chord.
This applet illustrates the ε-M definition of convergence of a sequence.
This applet illustrates upper and lower Riemann sums and refinement of partitions.
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.