This applet explores a geometric interpretation of the parameter t in the parameterisation of the standard hyperbola using cosh and sinh.
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.
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.
This applet shows the construction of the inverse of a function, and can be used to explore whether the inverse is a function.
This applet plots and traces a parametric curve, given as a vector function in R2.
This applet plots two parametric curves simultaneously. It can be used to explore whether two particles collide.