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Georgia standard · Mathematics

EC.AR.5Multivariable and Vector Integrals

Interpret integrals of functions of two independent variables and of vector functions to solve contextual, mathematical problems and to explain engineering-based phenomena.

Appears in: Mathematics, High School

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Expectations

  • EC.AR.5.1

    Manipulate integrals by changing the order of integration, introducing variable substitutions, or changing to curvilinear coordinates.

  • EC.AR.5.2

    Evaluate and apply line integrals that are independent of path.

  • EC.AR.5.3

    Apply properties of integrals to calculate and represent area, volume, or mass.

  • EC.AR.5.4

    Use integrals of vectors to define and apply the gradient, divergence, and the curl.

  • EC.AR.5.5

    Interpret the theorems of Green, Stokes, and Gauss and apply them to the study of real-world phenomena.

Georgia Milestones coverage

No Georgia Milestones blueprint cites this standard.

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.