Calculus 3

Calculus 3 covers advanced topics in multivariable calculus, including partial derivatives, multiple integrals, and vector calculus.

Practical Applications

Modeling Weather and Climate

Predicting the Weather Using Calculus

Weather models use multivariable calculus to predict temperature, pressure, humidity, and wind. These variables change with location and time, requiring partial derivatives, vector fields, and multiple integrals to analyze and predict their behavior.

Meteorologists input data into computer models built on these concepts, allowing us to forecast storms, track tornadoes, and understand global climate patterns.

Why It Matters

Better models mean more accurate forecasts, helping us stay safe and plan our lives.

Examples

  • Predicting the movement of a hurricane using vector fields.

  • Calculating total rainfall over a region with double integrals.