Tag: MAST10009
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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
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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
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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
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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
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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
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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.melbapplets.ms.unimelb.edu.au/2021/07/09/logistic-population-growth
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Logistic population growth with harvesting
This applet explores a logistic population growth model with constant harvesting.melbapplets.ms.unimelb.edu.au/2021/07/09/logistic-population-growth-with-harvesting
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Model of a spring with drag and forcing
This applet simulates a spring acting under gravity, subject to drag and an external driving force.melbapplets.ms.unimelb.edu.au/2021/07/09/model-of-a-spring-with-drag-and-forcing
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Exploring an ODE
This applet displays the direction field and solutions for an ordinary differential equation (ODE).
