✦ Lab 01 / 04 · Mathematics ✦

Mathematics Lab

Where logic becomes visual poetry

Explore functions, visualize calculus, trace beautiful curves, classify conics, and solve differential equations — all with live, interactive canvases and real-time parameter control.

Mathematics Modules

Four Mathematical Laboratories

Interactive
Function & Calculus Explorer
f(x) · f'(x) · ∫f(x)dx
Input any function, slide parameters, visualize derivatives as tangent lines, shade definite integrals, and mark critical points — all in real time. Cartesian and polar modes.
Open Explorer →
Animated Gallery
Curve & Equation Art Gallery
r = e^cosθ − 2cos(4θ) − sin⁵(θ/12)
Butterfly curves, rose curves, Lissajous figures, epicycloids, heart curves — all animated with sliders for live parameter control. Polar ↔ Cartesian conversion built in.
Open Gallery →
Classifier
Conic Section Visualizer
Ax² + Bxy + Cy² + Dx + Ey + F = 0
Enter the general quadratic equation and watch auto-classification into ellipse, parabola, or hyperbola. Visualize foci, directrix, eccentricity, and tangent lines live.
Open Visualizer →
Slope Fields
Differential Equation Lab
dy/dx = f(x,y) · Euler / RK4
Draw slope fields for first-order ODEs, run Euler and Runge-Kutta numerical solvers, and explore real-world scenarios like SHM, radioactive decay, and population growth.
Open Lab →