The final exam had...
The exam's 180 points were evenly divided among the 18 questions.
A few comments on specific exercises...
| 1c. |
Reminder: you were not allowed to use negation in part c. |
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| 6. |
Note that 143 is not prime, so you can't directly apply Fermat's Little Theorem. [In fact,
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| 7b. |
The relation |
Our solutions to the final exam have been posted.
For those who are curious, the median score was 141, and the mean score was 138.6 (sigma ~ 21).
The grading notes for Prelims II and I and for Homeworks #14, #13, #12, #11, #10, #9, #8, #7, #6, #5, #4, #3, #2, and #1 have been archived.
If you want to contest a homework or prelim score, do so within one week of the date on which the graded homework / exam was handed back. You must complain to Ke Wang and Jon Ludwig, the grading czars. Please make sure that you've carefully read both the solutions and the grading notes (above) before you make a complaint.
Update: homeworks and exams submitted for regrading must now be accompanied by a written statement that details your concerns.
Concerns about the grading of the final should be addressed directly to Sergei.