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Course 30189: Maths21A Summer 2010
Multivariable Calculus
Exams
Office: SciCtr 434

The final exam

Our final exam took place on August 5th, 2010 in lecture hall E. On Tuesday, at 9:30 Am, we had a review in the usual lecture hall E. Here is the exam with a solution draft. The final average was 103/140 (~ 74/100), the maximum 137. The maximal score was 137 points.



The final exam [PDF], Solutions


And here are the practice exams:


Practice Exam I [PDF],Solutions


Practice Exam II [PDF],Solutions


Practice Exam III [PDF],Solutions


Practice Exam IV [PDF],Solutions


Practice Exam V [PDF],Solutions


The second hourly

The second hourly took place on July 22, 2010 in the usual lecture hall E. It covered the material of the first 4 weeks with focus on the material of week 3 and 4.



The second hourly [PDF],Solutions




Practice Exam I [PDF],Solutions


Practice Exam II [PDF],Solutions


Practice Exam III [PDF],Solutions


Practice Exam IV [PDF],Solutions


The first hourly

It took place on July 8, 2010 in the usual lecture hall E and covered the first two weeks. Here is the exam with solutions:



The first hourly [PDF],Solutions


Here are the practice exams:


Practice Exam I [PDF],Solutions


Practice Exam II [PDF],Solutions


Practice Exam III [PDF],Solutions


Practice Exam IV [PDF],Solutions


Practice Exam V [PDF],Solutions


Please send questions and comments to maths21a@fas.harvard.edu
Maths21A | Oliver Knill | Summer 2010 | Summer school | Department of Mathematics | Faculty of Art and Sciences | Harvard University QR code of this page