# Calculus IV: Integral Vector Calculus

used at Union College

Educator Edition

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

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## Audience

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

This problem series includes WeBWorK-enhanced problems. WeBWorK problems are highly sophisticated, supporting the representation and manipulation of mathematical objects such as vectors, points, matrices, intervals, and complex numbers, with customizable answer checkers. Students are encouraged to make multiple attempts until they succeed, and given immediate feedback on correctness.

Edfinity provides full access to the WeBWorK Open Public Library (OPL), a collection of over 20,000 rich, interactive problems across a wide range of math and science subjects, including college algebra, discrete mathematics, probability and statistics, single and multivariable calculus, differential equations, linear algebra and complex analysis.

## Problem Sets

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