MATH
21 B
Mathematics Math21b Spring 2015
Linear Algebra and Differential Equations
Exams
Course Head: Oliver Knill
Office: SciCtr 432


Final exam

Final and Solution draft


FAS exam schedule. The final exam took place on Thursday May 7, 2015 at 2:00 PM. The exam average was 78/100 with a standard deviation of 12 (computed also when scaled to 100). We had a final review on Monday, May 04, 2015 7:00 PM - 8:30 PM in Science Center Hall D. Last names A-L are in Science Center D, Names M-Z please go to Science center C. The exam starts exactly at 2 PM. Please come a bit early. selected Slides (PDF).
Practice exam I [PDF]Solution 1 [PDF]
Practice exam II [PDF]Solution 2 [PDF]
Practice exam III [PDF]Solution 3 [PDF]
Practice exam IV [PDF]Solution 4 [PDF]
Practice exam V [PDF]Solution 5 [PDF]
Practice exam VI [PDF]Solution 6 [PDF]
Practice exam VII [PDF]Solution 7 [PDF]
Practice exam VIII [PDF]Solution 8 [PDF]


Second hourly

The second exam took place on April 7 from 7-8:30 in Hall B.
We had a review on Sunday April 5, 7:00 PM - 8:30 PM in Science Center - Hall C. Here is the review sheet from the Sunday review. (Some typos are corrected). The global average was 72 with a standard deviation of 10.
Second hourly and Solution draft


Practice exam I [PDF]Solution 1 [PDF]
Practice exam II [PDF]Solution 2 [PDF]
Practice exam III [PDF]Solution 3 [PDF]
Practice exam IV [PDF]Solution 4 [PDF]
Practice exam V [PDF]Solution 5 [PDF]
Practice exam VI [PDF]Solution 6 [PDF]
Practice exam VII [PDF]Solution 7 [PDF]


First hourly

The first hourly took place March 3 from 7-8:30 in Hall B. We had a global review on March 1 from 7-8:30 in Hall C. The global average was 86, the standard deviation 11.
First hourly and Solution draft


Practice exam I [PDF]Solution 1 [PDF]
Practice exam II [PDF]Solution 2 [PDF]
Practice exam III [PDF]Solution 3 [PDF]
Practice exam IV [PDF]Solution 4 [PDF]
Practice exam V [PDF]Solution 5 [PDF]
Practice exam VI [PDF]Solution 6 [PDF]
Practice exam VII [PDF]Solution 7 [PDF]


All exams are closed books and without the use of any technology. Official policy at Harvard is that "out of sequence midterm exams" are only offered for students observing religious holidays. We sometimes can accommodate students who happen to have an academic conflict like lab, important sports event at the same time (game or tournament) or a concert or theater event. 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. Requests have to come at least a week before the exam.
Please send questions and comments to knill@math.harvard.edu
Math21b Harvard College/GSAS: 1771, Exam group 3| Oliver Knill | Spring 2015 | Department of Mathematics | Faculty of Art and Sciences | Harvard University, [Canvas], [ISites]. Bookmark http://sites.fas.harvard.edu/~math21b/| Twitter