Skip to content

Explore Challenges Review Leaderboard Groups Tutor

Ask the tutor Log in

See where every equation shows up in the real world.

Courses

Algebra Calculus I Calculus II Calculus III Linear Algebra Differential Equations Partial Differential Equations Electromagnetism Probability & Statistics Engineering Statistics Discrete Mathematics

Learn

Explore labs Challenges Leaderboard Groups AI tutor

About

Sources and credits Paul’s Online Math Notes

© Isoline

Explore Challenges Review Leaderboard Groups Tutor

Partial Differential Equations/Physics

How Partial Differential Equations is used in Physics

Waves & Sound

Vibrating Drumhead lab preview

Vibrating Drumhead

The 2D wave equation

Heat Transfer

Heat Diffusion lab preview

Heat Diffusion

The heat equation

Thermodynamics

A Hot Spot Spreading Around a Brake Disc lab preview

A Hot Spot Spreading Around a Brake Disc

Periodic boundary conditions on a ring

Acoustics

Where a Piano Hammer Should Strike lab preview

Where a Piano Hammer Should Strike

The vibrating string: standing waves and harmonics

Solid state

Why Quantum Dots Glow Different Colors lab preview

Why Quantum Dots Glow Different Colors

Sturm–Liouville eigenvalue problems: eigenfunctions and orthogonality