175, 275 -Homework 11 and suggestions for the week after Thanksgiving

Homework 11 is due Tuesday, December 2, at the beginning of lecture. The usual considerations apply.

In 175 we will try to cover this week until section 8.10, but probably won’t get that far. As mentioned last week,  we will also cover additional topics that the book doesn’t mention or doesn’t treat in sufficient detail, once we are done with 8.10. These topics are uniform vs. pointwise convergence (including Wierstrass test), the behavior of the p-series \displaystyle \sum_{n=1}^\infty\frac1{n^p} for p=2,3,\dots, and infinite products. I will distribute notes of the topics not covered in the book. If you want to read ahead, and would like some of the notes ahead of time, please let me know.

In 275 we will cover Chapter 14, probably this week we will cover until section 14.4. Particularly important are the notion of conservative field and Green’s theorem. Then we will continue with surface integrals and orientations, Stokes’s and the divergence theorems. This will probably take another week, maybe a bit more. If there is any time left afterwards, we will see Lagrange multipliers 

Homework 11:

175: Do not use the solutions manual for any of these problems.

  • Turn in the problems listed for Homework 10  that you still have pending.
  • Section 8.6. Exercises 8, 25, 28, 37, 60.
  • Section 8.7. Exercises 2, 4, 39-48. 

Besides the exercises you have pending from last week, there are 17 new problems. Turn in the exercises you have pending, and at least 10 of the new problems. The others (at most 7) will be due December 9, together with the additional exercises for that week. 

275:  

  • Turn in the problems listed for Homework 10  that you still have pending.
  • Section 14.1. Exercises 1-8, 12, 16, 29.
  • Section 14.2. Exercises 6, 8, 34, 41.
  • Section 14.3. Exercises 2, 6, 12, 17, 20, 34, 38.
  • Section 14.4. Exercises 2, 8, 18, 31-35.

Exercises 14.1.1-8 count as a single exercise. Besides the problems pending from last week, there are 23 exercises. Turn in at least 10 of these. The remaining problems (at most 13) will be due together with a few additional exercises on December 9.

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