Make abstract ideas visible: drag points along curves, transform grids with matrices, and watch randomness settle into predictable patterns.
19 live simulators
Run the SIR model of an epidemic, change transmission, recovery and vaccination, and compare peak size, timing and final outbreak size.
Class 11–12 · College & beyondClass 12 Biology: Human Health and Disease; the SIR model is college level
Launch simulator: Epidemic Dynamics
Move a point along a curve and shrink the secant interval to see the secant slope approach the derivative, with the derivative curve traced live.
Class 11–12Class 11 Maths: Limits and Derivatives; Class 12 Maths: Application of Derivatives
Launch simulator: Derivative Explorer
Approximate the area under a curve with left, right, midpoint and trapezoid sums, change partitions and bounds, and watch the error shrink.
Class 11–12Class 12 Maths: Integrals; Application of Integrals
Launch simulator: Integral Explorer
Build square, sawtooth and triangle waves by adding sine harmonics, inspect the spectrum, and see the Gibbs overshoot at jumps.
College & beyondFourier series: college mathematics and engineering
Launch simulator: Fourier Synthesis
Edit a 2×2 matrix and watch it transform a grid, the basis vectors and a shape, with determinant, eigenvectors and animation from the identity.
Class 11–12 · College & beyondClass 12 Maths: Matrices
Launch simulator: Linear Transformations
Drag two complex numbers on the Argand plane and see addition as vector sum, multiplication as rotate-and-scale, and powers and roots as spirals.
Class 11–12Class 11 Maths: Complex Numbers
Launch simulator: Complex Plane
Roll down a loss landscape with gradient descent, change the learning rate, start point and momentum, and see convergence, oscillation and divergence.
Class 11–12 · College & beyondBuilds on Class 12 Maths: Application of Derivatives (maxima and minima)
Launch simulator: Gradient Descent
Pick a distribution, change its parameters, draw random samples and compare the histogram with the theoretical curve, mean and spread.
Class 11–12 · College & beyondClass 12 Maths: Probability
Launch simulator: Probability Distributions
Take repeated samples from skewed or lumpy distributions, plot the sample means, and watch them form a normal curve as the sample size grows.
College & beyondCollege statistics
Launch simulator: Central Limit Theorem
Set a prior, observe evidence such as test results or coin flips, and watch the posterior probability update with Bayes' theorem.
Class 11–12 · College & beyondClass 12 Maths: Probability (Bayes' theorem)
Launch simulator: Bayesian Updating
Throw random points at a square to estimate π or the area under a curve, and watch the error shrink in proportion to one over the square root of the sample count.
Class 9–10 · Class 11–12Class 10 Maths: Probability (estimating π with random points)
Launch simulator: Monte Carlo Estimation
Add, drag and delete data points and watch the least-squares line, residuals, R² and the pull of outliers update live.
Class 11–12 · College & beyondClass 11 Economics: Statistics for Economics (correlation); regression is college level
Launch simulator: Regression
Simulate thousands of experiments, change effect size, sample size and significance level, and measure false positives, power and p-values.
College & beyondCollege statistics
Launch simulator: Hypothesis Testing
Edit transition probabilities between weather states, simulate a random walk through the chain, and compare visit frequencies with the stationary distribution.
College & beyondCollege probability
Launch simulator: Markov Chains
Draw cells on a grid, set birth and survival rules, and watch Conway's Game of Life and other automata produce gliders, oscillators and chaos.
College & beyondBeyond the syllabus: complex systems
Launch simulator: Cellular Automata
Explore the Mandelbrot set, Julia sets, the Koch snowflake and a fractal tree, changing iteration depth and parameters to see self-similar detail.
Class 11–12 · College & beyondBuilds on Class 11 Maths: Complex Numbers
Launch simulator: Fractals
Simulate customers arriving at random and being served by one or more servers, change arrival and service rates, and compare queue length and waiting time with M/M/c theory.
College & beyondCollege operations research
Launch simulator: Queueing Systems
Shift linear supply and demand curves, add a tax, price ceiling, price floor or quota, and inspect the modelled equilibrium, consumer and producer surplus, and deadweight loss.
Class 11–12 · College & beyondClass 12 Economics: Introductory Microeconomics (demand, supply, market equilibrium)
Launch simulator: Market Supply and Demand
Edit sample text, build its Huffman code tree, compare bit counts with plain and fixed-length codes and the entropy limit, and watch the bits decode one by one.
College & beyondCollege information theory
Launch simulator: Compression CodingSee the planned labs below, or pick another topic.