✨ Interactive

Maths you can grasp

Move the sliders, observe, understand. Here maths comes alive — right in your browser.

🎛️ Function plotter

Choose a function type and drag the sliders for a, b and c. Watch how each parameter changes the graph.

f(x) = 1x² + 0x − 2
a1
b0
c-2

📊 Riemann sums

The integral is the area under the curve. Increase the number of rectangles and watch the approximation converge to the true value.

f(x) = 0.25x² + 1 on [0, 4]
Rectangles6
Approximation
9.296
True area
9.333
Deviation
0.037

🚀 Projectile motion

Set the angle and speed and hit launch. The ball flies a parabola — physics meets quadratic functions.

Angle45°
Speed18 m/s
Range: 33.0 mMax. height: 8.3 m

🔵 Unit circle → sine

A point rotates on the circle — its height traces the sine wave. The classic way to really understand sin and cos.


📈 Derivative live

A point moves along f(x), the tangent tilts with it. Its slope is exactly the value of the derivative f'(x) — drawn alongside.

f(x) = 0.15x³ − x f′(x) = 0.45x² − 1

Where f(x) rises, f′(x) is positive; where f(x) falls, f′(x) is negative. At the peaks/troughs, f′(x) = 0.


🌊 Double-slit experiment

Two slits act as wave sources. The waves overlap and create a striped pattern on the screen (interference). Play with wavelength and slit spacing.

Wavelength36
Slit spacing80

Larger slit spacing or shorter wavelength → narrower fringes.


⚛️ Atom – shell model

Electrons orbit the nucleus in shells. Choose an element and see how the electrons distribute by the 2, 8, 8 scheme.

Oxygen (O) · atomic number 8 · shells: 2, 6

🌫️ Quantum orbitals (s, p, d)

The modern atomic model: no fixed orbits, but electron clouds. Each dot is a possible location (probability |ψ|²). Choose an orbital — the cloud rotates to show the 3D shape.

Phase + Phase −

Each dot is a possible location of the electron (∝ |ψ|²). The cloud rotates to show the 3D shape.