Learning Paths
Every lab here works on its own — but strung together in order, with a try-it / notice-it / break-it prompt at every stop, they tell a coherent story. Pick a path and work through it top to bottom, or just browse.
How heat spreads through a solid, how it changes over time, how a moving fluid carries it, how it crosses empty space — and a real problem where two modes compete.
Fourier series, PDEs, phase portraits, and the special functions (Bessel, Legendre, Gamma) that fall out of solving them on real geometries.
Root finding, ODE solvers, linear systems, and what happens when a numerical method's own step size becomes the thing that breaks it.
From a single spring-mass-damper to frequency response and resonance — why machines shake themselves apart, and how to stop them.
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