Category: Applets

Vector projections
This applet aims to demonstrate visually the projection of a vector u onto a vector v. 
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/centrallimittheoremandlawoflargenumbers

Population genetics by FHW model
This applet calculates the zygote and adult allele and genotype frequencies according to the FisherHaldaneWright model of population genetics, and plots the results.melbapplets.ms.unimelb.edu.au/2021/07/08/populationgeneticsbyfhwmodel

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/iteratingadifferenceequation

Cobwebbing a difference equation
This worksheet performs iteration and produces cobweb diagrams for a firstorder difference equation (AKA recurrence relation, discrete dynamical system).melbapplets.ms.unimelb.edu.au/2021/07/08/cobwebbingadifferenceequation

Cobwebbing, linear approximation and stability
This applet shows a linear approximation to a nonlinear 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 firstorder difference equation.melbapplets.ms.unimelb.edu.au/2021/07/08/cobwebbinglinearapproximationandstability

Guess the correlation
Guess the correlation of a sample of bivariate data drawn from a linear or nonlinear population.melbapplets.ms.unimelb.edu.au/2021/07/08/guessthecorrelation

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/samplingfromabivariatepopulation

Solution of the wave equation
This applet illustrates a solution of the wave equation, from the MAST20029 Engineering Mathematics lecture notes. 
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 Eulerâ€™s method.melbapplets.ms.unimelb.edu.au/2021/07/08/exploringanodewitheulermethod
Number of posts found: 54