MATH
21 B
Mathematics Math21b Spring 2018
Linear Algebra and Differential Equations
Exams
Course Head: Oliver Knill
Office: SciCtr 432


We follow strictly the Harvard Honor code.

Final Exam

The final exam took place on Tuesday, 5/8/2018 at 2PM. See the Schedule. We had a final review on Wednesday, 5/2/2018 (the last day of reading period) from 5:00 PM-6:30 PM in Hall B. The final exam was solved with an average of 82 points and standard deviation 10 (all scaled to 100 of course). .

Final exam Solutions


Here were some practice exams:
Practice exam 1 [PDF]Solution 1 [PDF]
Practice exam 2 [PDF]Solution 2 [PDF]
Practice exam 3 [PDF]Solution 3 [PDF]
Practice exam 4 [PDF]Solution 4 [PDF]
Practice exam 5 [PDF]Solution 5 [PDF]
Practice exam 6 [PDF]Solution 6 [PDF]
Practice exam 7 [PDF]Solution 7 [PDF]
Practice exam 8 [PDF]Solution 8 [PDF]
Practice exam 9 [PDF]Solution 9 [PDF]


Second Midterm

The second exam took place Tuesday, April 3, 2018 in Hall B from 7 PM to 8:30 PM. We have a global review on easter Sunday, April 1, 2018 in Hall C from 7 PM to 8:30 PM. Slides [PDF] from the review session on April 1, 7-8:30 PM in Hall C. The exam has been graded. The average is almost 80, the standard deviation 12. It was more difficult. The maximal score was 98. Unlike in the first midterm there were some low scores (below 40).

Hourly 1 Solutions


Here are some practice exams:
Practice exam 1 [PDF]Solution 1 [PDF]
Practice exam 2 [PDF]Solution 2 [PDF]
Practice exam 3 [PDF]Solution 3 [PDF]
Practice exam 4 [PDF]Solution 4 [PDF]
Practice exam 5 [PDF]Solution 5 [PDF]
Practice exam 6 [PDF]Solution 6 [PDF]
Practice exam 7 [PDF]Solution 7 [PDF]
Practice exam 8 [PDF]Solution 8 [PDF]
Practice exam 9 [PDF]Solution 9 [PDF]

First Midterm

The first exam took place Tuesday, February 27, 2018 in Hall B from 7 PM to 8:30 PM. We had a review on Sunday 2/25/2018 in ScienceCtr_Hall C from 7PM to 8:30 PM. The average of the exam was a notch below 84, the standard deviation 8. The maximal score was 100.

Hourly 1 Solutions


Here were some practice exams with solutions.
Practice exam 1 [PDF]Solution 1 [PDF]
Practice exam 2 [PDF]Solution 2 [PDF]
Practice exam 3 [PDF]Solution 3 [PDF]
Practice exam 4 [PDF]Solution 4 [PDF]
Practice exam 5 [PDF]Solution 5 [PDF]
Practice exam 6 [PDF]Solution 6 [PDF]
Practice exam 7 [PDF]Solution 7 [PDF]
Practice exam 8 [PDF]Solution 8 [PDF]
Practice exam 9 [PDF]Solution 9 [PDF]

Exam policies

"Out of sequence exams" are offered for students observing religious holidays and students who
need out of sequence exam as ordered from the accessible education office.
We try first to accommodate students:  
- who have other exams at the same time of the day overlapping with the exam.
- a concert or theater event (not rehearsal)
- a political election event in which the student with conflict is a major candidate
- participate in a important sports event (actual game or tournament) at that time
We also try to accommodate students with rehearsals, practice or regular classes, seminars or labs as well as possible but with a large number of requests this is not possible and would compromise the integrity of 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. All requests should come a week before the exam.
Please send questions and comments to knill@math.harvard.edu