Read and Watch 1

17.2.1: Line Integrals over Scalar Fields with Example 1 (19:54)

17.2.2: Line Integrals Over Scalar Fields in R3 with Example 2 (11:26)

17.2.3: Line Integrals Over Vector Fields and Work Integrals (23:17)

Read and Watch 2

17.3.1: Motivating Questions, Types of Curves and Regions, and Definition of Conservative Vector Fields (21:12)

17.3.2: Test for Conservative Vector Fields with Example 1 (05:22)

17.3.3: Finding Potential Functions with Example 2 (13:37)

17.3.4: Fundamental Theorem of Line Integrals, Independence of Path, and Example 3 (21:27)

17.3.5: Line Integrals of Conservative Vector Fields overl Closed Curves, Summarizing Results, and Example 4 (14:56)

Practice

Use the practice problems at the end Section 17.2 and 17.3 in our text to practice what you've learned this week. The problems generally increase in difficulty in each subsection. The problems towards the end of the section get increasingly more involved, so I recommend working a few problems from each of the earlier subsections, checking your answers against the back of the book, and then venturing as far as you desire.

Review and Reflect

Take a look at the learning objectives for this week (found in the overview above). After completing everything above, assess how well you feel you meet each objective (say, on a scale from 1-5, 1 being the least comfortable and 5 being confident with having met the objective). The idea here is to make a record of how you feel about each objective so that you can easily go back to it before, say, an exam or at the end of the chapter and easily see what topics you should review. It can also be helpful if you are having trouble understanding a concepts later in the course.

Next Week

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