Final. The final exam is now
available. Please read the instructions below carefully.
Please take three hours to complete this exam. Collaboration is not
allowed, except on the bonus question, which you can discuss with
others, given that this discussion takes place in public conversations
on Piazza. This is the bonus question:
Choose an integer x ∈ {1, 2, . . . , 10}. Denote by a the average choice for
x made by all the students taking this exam. As in the midterm, you will
get x bonus points if a < 4. Otherwise you will get nothing.
Note: a will be calculated separately for seniors and
non-seniors, and bonus points
will be added after any curving.
Also, there is no time limit for completing the bonus
question.
You may consult the lecture notes, your own notes or any textbook, but
not solutions to previous exams. There is no need to prove any
statements that you make, unless this is explicitly requested (e.g.,
“explain...”), in which case you must provide an answer that is no
longer than one paragraph. For seniors and graduate students, the exam is due at noon on
June 4th. For the rest, it is due at noon on June
11th.