Partial Differential Equations explores the mathematical techniques for solving equations involving multivariable functions and their partial derivatives.
Whether it’s music, earthquakes, or light, waves are all around us!
The wave equation, a classic second-order PDE, models how things like sound, water, or even buildings vibrate.
\[ \frac{\partial^2 u}{\partial t^2} = c^2 \frac{\partial^2 u}{\partial x^2} \]
Understanding vibrations helps us build safer structures, better instruments, and clearer communications.
Analyzing the tone produced by a guitar string.
Testing the earthquake resistance of skyscrapers.