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Chapter12Surface Integrals

Objectives

This chapter covers the following ideas.

  1. Explain how to setup surface integrals, and use them to compute surface area

    Alternative, depending on the sections covered before: average value, centroids, center of mass, moments of inertia, and radii of gyration.

  2. Use surface integrals to compute flux across a surface, in a given direction.

  3. Explain how to use Stokes's theorem to compute circulation.

Wrap Up

You've finished the chapter! Look at the objectives at the beginning of the chapter. Can you now do all the things you were promised?

Review Guide Creation

Your assignment: organize what you've learned into a small collection of examples that illustrates the key concepts. I'll call this your chapter review guide. I'll provide you with a template which includes the chapter's key concepts from the objectives at the beginning. Once you finish your review guide, scan it into a PDF document (use any scanner on campus or photo software) and upload it to Gradescope.

As you create this review guide, consider the following:

  • Before each Celebration of Knowledge we will devote a class period to review. With well created lesson plans, you will have 4-8 pages(for 2-4 Chapters) to review for each, instead of 50-100 problems.

  • Think ahead 2-5 years. If you make these lesson plans correctly, you'll be able to look back at your lesson plans for this semester. In about 20-25 pages, you can have the entire course summarized and easy for you to recall.