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Calculus III (Practice Problems) / Surface Integrals   [Notes] [Practice Problems] [Assignment Problems]

Calculus III - Practice Problems
Line Integrals Previous Chapter  
Curl and Divergence Previous Section   Next Section Parametric Surfaces

 Surface Integrals

Here are a set of practice problems for the Surface Integrals chapter of my Calculus III notes.  If you are viewing the pdf version of this document (as opposed to viewing it on the web) this document contains only the problems themselves and no solutions are included in this document.  Solutions can be found in a number of places on the site.


  1. If you’d like a pdf document containing the solutions go to the note page for the section you’d like solutions for and select the download solutions link from there.  Or,

  2. Go to the download page for the site and select the section you’d like solutions for and a link will be provided there.

  3. If you’d like to view the solutions on the web or solutions to an individual problem you can go to the problem set web page, select the problem you want the solution for.  At this point I do not provide pdf versions of individual solutions, but for a particular problem you can select “Printable View” from the “Solution Pane Options” to get a printable version.


Note that some sections will have more problems than others and some will have more or less of a variety of problems.  Most sections should have a range of difficulty levels in the problems although this will vary from section to section.


Here is a list of topics in this chapter that have practice problems written for them.


Parametric Surfaces

Surface Integrals

Surface Integrals of Vector Fields

Stokes’ Theorem

Divergence Theorem


Curl and Divergence Previous Section   Next Section Parametric Surfaces
Line Integrals Previous Chapter  

Calculus III (Practice Problems) / Surface Integrals    [Notes] [Practice Problems] [Assignment Problems]

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