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Calculus and Analytic Geometry III

Course Competencies

  1. Operate with and on space curves defined as functions of one variable

  2. Interpret three-dimensional coordinates.

  3. Generate level curves and level surfaces.

  4. Compute limits of multivariate functions.

  5. Compute partial derivatives of multivariate functions.

  6. Use the gradient of a multivariate function.

  7. Locate the maximum and minimum values of a multivariate function.

  8. Evaluate double and triple integrals.

  9. Transform double and triple integrals.

  10. Solve applications using double and triple integrals

  11. Evaluate line integrals in two and three dimensions.

  12. Evaluate surface integrals.

  13. Use the curl and divergence of a vector field.

  14. Use Green's, Gauss's and Stokes' theorems.

  15. Apply vector calculus.