# Overview Partial differential equations in physics typically model conservation laws: - mass - momentum - energy Vector calculus is the language to describe partial differential equations: - [[Gradient]] - [[Divergence|divergence]] - [[Curl|curl]] Allows us to translate real-world phenomena into equations # Vector Fields $ \boldsymbol{u}(\boldsymbol{x},t)=\begin{bmatrix}u(\boldsymbol{x},t)\\v(\boldsymbol{x},t)\end{bmatrix}=\begin{bmatrix}u(x,y,t)\\v(x,y,t)\end{bmatrix} $ Is solution to partial differential equations