# Category: Applets

1. ### Vector projections

This applet aims to demonstrate visually the projection of a vector u onto a vector v.
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.
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.
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.
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).
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.
7. ### Guess the correlation

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

Repeatedly sample from a bivariate population, and construct a histogram of sample regression line slope.
9. ### Solution of the wave equation

This applet illustrates a solution of the wave equation, from the MAST20029 Engineering Mathematics lecture notes.
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 Eulerâ€™s method.

Number of posts found: 54