Sergei Yakovenko's blog: on Math and Teaching

Saturday, February 11, 2017


Filed under: Calculus on manifolds course,lecture,problems & exercises — Sergei Yakovenko @ 5:22

Problems for the take-home exam

Here is the file with the problems for the exam.

The rules are simple:

  1. The submission is due on the last day of the exam period (including the vacations) as per the FGS rules, that is, March 26, 2017.
  2. English is preferred over Hebrew, typeset solutions to the handwritten ones, although no punishment for the deviant behavior will ensue. Hardcopy solutions should be put into my mail box in the Zyskind building,  otherwise feel free.
  3. Nobody is perfect: if you believe you find an error and the problem as it is stated is wrong, don’t hesitate to write a talkback to this post. All bona fide errors will be corrected or the problem cancelled outright.
  4. I tried to make the exam as instructive as the course was. Most of the problems are things that I planned to include, but didn’t have time to. To simplify your life, they were split into what I believe are simple steps. Don’t hesitate to consult textbooks, but let me see that you indeed read and digested them. The presumptively harder items are marked by the asterisk.
  5. To get the perfect grade 100, you don’t have to submit solutions to all problems. The grade will be based on my purely subjective assessment of your exam and in any case will not be additive neither multiplicative.  Please be aware that writing patently stupid things may be more detrimental to the outcome than just skipping an item that you cannot cope with.
  6. I hope to post on this site the aggregated and slightly polished lecture notes in hope they might help you.
  7. I hope to be able to answer any questions you might have concerning the problems, better posted here than emailed to me. Moreover, I encourage open discussions here as long as they don’t result in posting complete solutions. Sometimes one stumbles over the most stupid things and needs to talk to other to overcome that. That’s fairly normal. To enter math formulas, you type the dollar sign $ immediately followed by the word “latex”, and after the blank space type in your formula. Don’t forget to close with another $.
  8. If you cannot meet the deadline for serious reasons, write me. Everything is negotiable.

Good luck and merry ט”ו בשבט!


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