The final exam took place
January 22 at 9:15 AM. Students with names A-M were in Hall C,
students with names N-Z were in Hall D. Here was
the exam schedule [PDF].
As usual, we recommended to do at least one of the practice exams before looking at the solutions.
Watching solutions before attempting to solve it, is both frustrating
and unefficient. There are often many ways to solve a problem and the provided
solution might not be the one which is natural to the student. We had 5 practice episodes,
the sixth "came to a theater near you" on January 22nd.
The final average was 77 with a standard deviation of 15.
The graph shows the difference between final grade and average grade
Here is the correlation between final grade and average grade
January 20 in Episode 1, TF problem 4, "smaller" should read "smaller or equal". The two vectors could be
January 18 in Episode 5, TF problem 20, the explanation mentioned that (0,0,1) is a maximum. The maxima
occur on the circle r2=2, the boundary where sqrt(f(x,y)) is defined.
The picture to the left shows the rz-plane.
January 18 in Episode 5, problem 14: delete the info that the amputated surface has volume 5 is not needed,
Nor is it consistent with the info the full brezel has volume 3.
January 18 in Episode 4, problem 4a), the answer is -14x+2y-12z=0 not -14x-2y-12z.
January 18 in Episode 4, problem 7) the final answer is 20 not -4.
January 16: in Episode 2, problem 11, there were typos in the cylindrical and spherical
coordinate solutions. In problem 12 the solution is 2/3 + pi not 2/3 - pi.
January 13 in Episode 4, problem 3, the picture of the 3D vector field and the one-sheeted
hyperboloid are corrected (there were wrong pictures there).
Final review times: (sorry about the conflict on Wednesday with the life science review,
we will make slides available)
FAS archive of old exams
Our final exam is a three-hour final exam administered by the Exams Office
for all enrolled students. As such the exam is subject to the
All students enrolled in the course are required without exception
to attend the exam administered by the FAS Exams Office. Students not
present at this exam will receive a grade of ABS for the course.
Instructors may not approve or administer a makeup exam to any
student absent from the exam. Makeup exams may only be approved by the
Administrative Board for undergraduates or the Deputy Registrar for graduate
students, Special Students, or cross-registered students and will be
administered by the FAS Exams Office during the scheduled makeup exam period.
The second hourly:
took place Tuesday, Nov 14, 2006, Hall B, 7-8:30 PM
We had a course wide review on Sunday, November 12
from 7-8:30 PM in Lecture Hall C.
The mean of the second midterm exam was 80, the standard deviation was 9.
Official policy at Havard is that "out of sequence exams" are
only offered for students observing religious holidays. We
sometimes can accomodate students who happen to have an important sports event
at the same time (it must be an actual game or tournament) or
a concert or theater event (regular practice or rehearsals of course
do not qualify to miss the exam). In case of a qualifying conflict,
contact the course head to see whether it is possible to arrange
the exam earlier at the same day. We will need a letter from your
coach or director. The request has to come at least a week before
The first hourly, took place on Wednesday, Oct 18. 2006,
Hall C, 7-8:30 PM.