Category: Applets

  1. Vector projections

    This applet aims to demonstrate visually the projection of a vector u onto a vector v.

    melbapplets.ms.unimelb.edu.au/2021/07/08/vector-projections

  2. Central Limit Theorem and Law of Large Numbers

    This applet illustrates how the distribution of the sample mean converges towards normality as sample size increases.

    melbapplets.ms.unimelb.edu.au/2021/07/08/central-limit-theorem-and-law-of-large-numbers

  3. Population genetics by FHW model

    This applet calculates the zygote and adult allele and genotype frequencies according to the Fisher-Haldane-Wright model of population genetics, and plots the results.

    melbapplets.ms.unimelb.edu.au/2021/07/08/population-genetics-by-fhw-model

  4. Iterating a difference equation

    This applet iterates a difference equation (also known as recurrence relation) and displays the resulting sequence both graphically and numerically.

    melbapplets.ms.unimelb.edu.au/2021/07/08/iterating-a-difference-equation

  5. Cobwebbing a difference equation

    This worksheet performs iteration and produces cobweb diagrams for a first-order difference equation (AKA recurrence relation, discrete dynamical system).

    melbapplets.ms.unimelb.edu.au/2021/07/08/cobwebbing-a-difference-equation

  6. Cobwebbing, linear approximation and stability

    This applet shows a linear approximation to a non-linear difference equation close to an equilibrium, using cobwebbing. It can be used to investigate the accuracy of a linear approximation, or to motivate the linear stability criterion for equilibria of a first-order difference equation.

    melbapplets.ms.unimelb.edu.au/2021/07/08/cobwebbing-linear-approximation-and-stability

  7. Guess the correlation

    Guess the correlation of a sample of bivariate data drawn from a linear or non-linear population.

    melbapplets.ms.unimelb.edu.au/2021/07/08/guess-the-correlation

  8. Sampling from a bivariate population

    Repeatedly sample from a bivariate population, and construct a histogram of sample regression line slope.

    melbapplets.ms.unimelb.edu.au/2021/07/08/sampling-from-a-bivariate-population

  9. Solution of the wave equation

    This applet illustrates a solution of the wave equation, from the MAST20029 Engineering Mathematics lecture notes.

    melbapplets.ms.unimelb.edu.au/2021/07/08/solutions-of-pdes

  10. Exploring an ODE with Euler method

    This applet displays the direction field and solutions for an ordinary differential equation (ODE), and calculates approximate solutions using Euler’s method.

    melbapplets.ms.unimelb.edu.au/2021/07/08/exploring-an-ode-with-euler-method

Number of posts found: 54