Calculus 3

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

Functions of Several VariablesPartial DerivativesMultiple Integrals
Vector Fields and GradientLine and Surface IntegralsDivergence, Curl, and the Big Theorems
Modeling Weather and ClimateEngineering and Physics ApplicationsEconomics and Resource Management
Visualization and SketchingBreaking Down Problems
Functions of Several...Partial DerivativesMultiple IntegralsVector Fields and Gr...Line and Surface Int...Divergence, Curl, an...Modeling Weather and...Engineering and Phys...Economics and Resour...Visualization and Sk...Breaking Down Proble...
Practical Applications

Economics and Resource Management

Calculus in the Real Economy

Economists use multivariable calculus to model supply and demand, optimize resource use, and forecast economic trends. Partial derivatives help analyze how changing one factor (like price) affects outcomes (like demand), while multiple integrals help calculate total profit or cost over a region.

This helps businesses and governments make smarter decisions on resource allocation.

Making a Difference

Powerful math leads to better policies and strategies for everyone.

Examples

  • Maximizing profit by finding where the gradient of a profit function is zero.

  • Calculating total cost across multiple markets using double integrals.

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Visualization and Sketching