Applied Mathematics Laboratory

Seven interactive sandboxes for applied math and engineering fundamentals: calculus, matrix transformations, optimization, statics, Fourier analysis, and circuits (Bode plots). Optimized for mobile and desktop.

Interactive Visuals Dark/Light Theme MathJax Static + Portable

Laboratory Collection

Pick a sandbox to start experimenting
Calculus · Visualization

The Calculus Lab

Derivatives and integrals with interactive plots and numerical vs analytical comparisons.

Linear Algebra · Geometry

Matrices as Transformations

2D/3D matrix transformations: rotations, scaling, shearing, and geometric intuition.

Optimization · GD/Adam

Optimization Playground

Gradient descent family and optimizer behavior on 2D surfaces with visual feedback.

Statics · Equilibrium

2D Forces & Equilibrium

Force vectors, moments, and equilibrium checks using interactive diagrams.

Signals · FFT

Signals & Fourier Playground

Time vs frequency domain intuition, FFT-based spectrum exploration and filtering concepts.

Circuits · Bode

Circuit Equations & Bode Plots

RLC circuits, transfer functions, resonance and frequency response visualized with Bode plots.

Statics · Analyzer

2D Forces & Equilibrium Analyzer

Advanced force systems with moments and equilibrium verification for multi-force setups.