MATH
21 B
Mathematics Math21b Fall 2010
Linear Algebra and Differential Equations
Exams
Course Head: Oliver Knill
Office: SciCtr 434


The final exam took place on Friday, December 17, 2010 at 2 PM in Sci Center E. We had global reviews on December 9, 2010 (10 - 11:30 AM) (Part I) and on December 10, 2010 (10-11:30 AM) both in Hall E (Part II). The average score was 78/100 the standard deviation of the final was 15. Here is the
Practice exam 1 [PDF]Solution practice exam 1
Practice exam 2 [PDF]Solution practice exam 2
Practice exam 3 [PDF]Solution practice exam 3
Practice exam 4 [PDF]Solution practice exam 4
Practice exam 5 [PDF]Solution practice exam 5
Practice exam 6 [PDF]Solution practice exam 6
Corrections: to the practice exams. (Corrections were implemented in the above documents at the time indicated):
  • 16. December 10 AM, Practice 1 Problem 4 (one entry in row reduction) and problem 6, the other eigenvalues are -1/3,2/3 (Thanks to Karina Herrera!)


The second midterm exam took place on Thursday, November 4th from 7-8:30 PM in Hall D. We had a global review on Sunday, December 31 from 7-8:30 PM in Hall E. The mean was 76, the standard deviation 13. Here is
Practice exam 1 [PDF]Solution practice exam 1
Practice exam 2 [PDF]Solution practice exam 2
Practice exam 3 [PDF]Solution practice exam 3
Practice exam 4 [PDF]Solution practice exam 4
Practice exam 5 [PDF]Solution practice exam 5
Practice exam 6 [PDF]Solution practice exam 6


Errata (corrected at the time indicated,
  • Corrected October 31, 2010, 9 PM, Practice 1, Problem 6, last expression corrected. Thanks to Ben Blatt


The first midterm exam took place Thursday, October 7th from 7-8:30 PM in Hall D. We had a global review on Sunday, October 3 from 7-8:30 PM in Hall A. The average score was 79, the standard deviation 15.
Practice exam 1 [PDF]Solution practice exam 1
Practice exam 2 [PDF]Solution practice exam 2
Practice exam 3 [PDF]Solution practice exam 3
Practice exam 4 [PDF]Solution practice exam 4
Practice exam 5 [PDF]Solution practice exam 5
Practice exam 6 [PDF]Solution practice exam 6




Our midterm exam dates are Thu 10/7 and 11/4 from 7-8:30 PM.


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 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 exam.
Please send questions and comments to math21b@fas.harvard.edu
Math21b (Exam Group 1)| Oliver Knill | Fall 2010 | Department of Mathematics | Faculty of Art and Sciences | Harvard University