Analysis

Learn Partial Differential Equations

The equations of physics and geometry: classification into elliptic/parabolic/hyperbolic, the heat, wave, and Laplace equations, separation of variables, the method of characteristics, well-posedness, transform methods, boundary-value problems, and the CFL condition for numerical schemes.

Free to start · adaptive placement finds your level · reviews timed so it stays learned.

What you'll learn

10 lessons in Partial Differential Equations

PDEs & their classificationThe heat equationThe wave equationLaplace's equation & harmonic functionsSeparation of variablesThe method of characteristicsWell-posedness & boundary conditionsTransform methodsBoundary-value problems & eigenfunctionsNumerical PDEs & the CFL condition
How Erudia teaches

Built to be understood — and remembered.

Every idea is taught with motivation and a worked example before the drills, and an FSRS spaced-repetition engine schedules each review for the moment just before you'd forget it. A short placement check finds what you already know, so you start Partial Differential Equations exactly where it's useful.

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