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Calculus IV: Integral Vector Calculus

Educator Edition

ContributorUnion College
CourseMTH 117, Calculus 4: Integral Vector Calculus. Double and triple integrals, line integrals and Green’s theorem, divergence and curl, divergence theorem and Stokes’ theorem.
TextbookCalculus: Early Transcendentals, 10th Edition: Howard Anton, Irl Bivens,‎ Stephen Davis, or a textbook of your choice.

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Intended for students who have passed a Differential Vector Calculus course.

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  1. Integration Review
  2. Double Integrals
  3. Double Integrals 2
  4. Double Integrals 3
  5. Polar Coordinates and Polar Graphs
  6. Polar Coordinates and Polar Graphs 2
  7. Triple Integrals
  8. Spherical Coordinates
  9. Integration in Spherical or Cylindrical Coordinates
  10. Line Integrals
  11. Work Integrals
  12. The Fundamental Theorem of Work Integrals
  13. Green's Theorem
  14. Surface Area


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