MATH
21 B
Mathematics Math21b Spring 2016
Linear Algebra and Differential Equations
Exams
Course Head: Oliver Knill
Office: SciCtr 432


Final exam

Our final exam took place on May 11, 2016 from 2-5 PM in Hall B (with last names starting A-Q) and Emerson 105 (with last names start with R-Z). exam schedule (PDF). We had a final global review on Wednesday 5/4/2016, from 5:00 PM - 6:30 PM in Science Center Hall C. The exam was solved with an average of 80/100 and a standard deviation of 12. (standard deviation refers to the score scaled to 100).

Final exam Solution draft


Here were the 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 hourly

The second hourly took place on April 5, 2016, from 7-8:30 PM in Hall B. We had a global plenary review on Sunday April 3, 1-2:30 PM in SC Hall B. The exam average was E[X]=76, the standard deviation was Sigma[X]=12.

Hourly 2 Solutions


Here were some practice exams:
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]


First hourly

The first hourly took place on March 1 from 7-8:30 PM in Hall B. We had a global review on 2/28/2016 from 4:00 PM - 5:30 PM in Science Center Hall B. (featuring a song and a music video clip). The exam average and standard deviation was E[X]=89, Sigma[X]=9.


Hourly 1 Solutions


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]


General policies

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 Oliver 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 Class Number:16325 Course ID:110989| Oliver Knill | Spring 2016 | Department of Mathematics | Faculty of Art and Sciences | Harvard University, [Canvas, for admin], Twitter