Mathematics
Beginner
Live Sim
Function Grapher & Transformations
Plot any function and apply vertical/horizontal shifts, reflections, and stretches to understand transformation algebra.
Mathematics
Intermediate
Live Sim
Definite Integral (Riemann Sums)
Approximate the area under a curve using left, right, and midpoint Riemann sums; watch convergence as partition count increases.
Mathematics
Intermediate
Live Sim
Taylor Series Approximation
Build polynomial approximations to sin, cos, and e^x; observe how adding terms expands the radius of convergence.
Mathematics
Intermediate
Live Sim
Linear Algebra: Matrix Transformations
Apply 2x2 matrix transformations to geometric shapes in the plane and visualise rotation, scaling, shear, and reflection.
Mathematics
Beginner
Live Sim
Probability Distributions Explorer
Sample from Normal, Binomial, Poisson, and Exponential distributions; adjust parameters and compare histograms to theoretical PDFs.
Mathematics
Beginner
Live Sim
Fractal Explorer (Mandelbrot)
Navigate the Mandelbrot set and Julia set at arbitrary zoom; observe self-similarity and colour-map iteration depth.
Mathematics
Advanced
Live Sim
Differential Equations Solver
Plot direction fields and numerical solutions (Euler & RK4) for first and second-order ODEs with customisable initial conditions.
