Multivariable Calculus explores functions of multiple variables, including partial derivatives, multiple integrals, and vector calculus.
Multivariable calculus helps us model how heat, chemicals, or populations spread in space and time.
The heat equation uses partial derivatives to describe how temperature changes across a solid over time.
Whether it's perfume in the air or nutrients in water, diffusion equations rely on multiple variables and their rates of change.
Engineers and scientists use these models to design safer buildings, better medicines, and cleaner environments.
Predicting how quickly a spilled drink will cool down on a table.
Designing better insulation for homes by modeling heat loss.