Homework Problems for Chapters 7 and 8
Integrals over Paths and Surfaces
and
The Integral Theorems of Vector Analysis

• This is the final set of homework problems. As you can see, we still have a fair amount of material to cover. The topics in the last two chapters are applications of everything discussed in the course: tangent vectors, normal vectors, double integrals, triple integrals, ....
• The final exam will concentrate on the topics in Chapters 7 and 8. However, as mentioned above, you will need to be able to use many of the earlier methods and techniques to solve these problems.
• Problems marked with an asterisk ( ) will be collected and graded. In general, problems will be due the day following the lecture in which the section was discussed.
• These problems have been selected as the minimum amount of work that you should be doing for this course. Some problems will be straightforward computations; some will require the construction of a logical argument using the terminology and concepts discussed in class; some problems will require you to expand your knowledge (with given information) and apply this to a new setting.
• If you need more practice, there are many other problems in the text that are similar to the ones I have assigned.
• There are two sections of review problems at the end of each chapter. None of these problems will be collected for grading. These problems should be a good test of your understanding of the main points in the chapter. I suggest solving these problems as one part of your preparation for an exam.
• Be sure you know how to do all of these problems. Do not hesitate to ask questions - in class, by e-mail, or during office hours.

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