The final exam takes place on August 6, 2009 in Hall E

We have a global review on Tuesday, August 4th, in Hall E from 9-11 AM.

Final Exam [PDF],Solutions

Practice Exam I [PDF],Solutions

Practice Exam II [PDF],Solutions

Practice Exam III [PDF],Solutions

Practice Exam IV [PDF],Solutions

The second hourly took place on July 23, 2009.

The second hourly had an average of 81 points. Again, we show version A, version B had been scrambled.

Exam [PDF],Solutions

Practice Exam I [PDF],Solutions

Practice Exam II [PDF],Solutions

Practice Exam III [PDF],Solutions

The first hourly on July 9, 2009 took place in 507.

The first hourly had an average of 80, a median of 82 and a standard deviation of 13. Versions A and B had the same problems, but things were just scrambled differently.

Exam [PDF],Solutions

Practice Exam I [PDF],Solutions

Practice Exam II [PDF],Solutions

Practice Exam III [PDF],Solutions

Practice Exam IV [PDF],Solutions

Please send questions and comments to maths21a@fas.harvard.edu

Maths21A | Oliver Knill | Summer 2009 | Summer school | Department of Mathematics | Faculty of Art and Sciences | Harvard University QR code of this page