Learn

Learn how a physical assumption becomes an equation, what that equation predicts, and how to recognize when a model is missing something. Each lesson includes worked reasoning and exercises; you can read it without installing Eqiora.

Start a learning path

Mathematical modeling connects eight lessons, from assumptions and units to evolving state, conservation and boundaries. Start with Models are not simulations, or go straight to the decay experiment after Get started.

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Meaning and consistency

Models and assumptions, dimensions and units, and algebraic networks. Decide what is unknown and whether the relations make sense together.

Change in time

Ordinary differential equations: derive exponential decay, run the installed example, and compare its result with a prediction made by hand.

Fields and conservation

Spatial domains and conservation laws: connect storage, flux, source, gradients and divergence.

Materials and boundaries

Constitutive laws and boundary and interface conditions: close a balance and describe how a system meets its surroundings.

Connect the ideas to a result

Follow the steady cylinder-flow investigation or mixed-boundary elasticity to see assumptions, numerical choices and a plotted result together. Guides explain the practical steps; Reference defines the constructs and signatures.