Math 251
Ordinary and Partial Differential Equations
Sample Exams
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Exam I
- Exam I, Spring 2000
answer key.
- Exam I, Fall 2000
answer key.
Question 6 on this exam is among the trickiest application problems to appear on a Math 251 exam in the past decade... It is not quite the mixing problem as given in the textbook, but with a slight twist. You'll need to think a little to come up with the correct model/initial value problem.
- Exam I, Fall 2001
answer key.
The graphs are missing from question 6b. You can ignore the part, or sketch the correct direction field yourself.
- Exam I, Spring 2002
answer key and complete solutions.
- Exam I, Summer 2002
answer key.
- Exam I, Fall 2002
answer key and complete solutions.
- Exam I, Spring 2003
answer key (html version) and answer key (pdf version).
- Exam I, Summer 2003
answer key.
- Exam I, Fall 2003
answer key.
- Exam I, Spring 2004
answer key.
- Exam I, Fall 2004
answer key.
- Exam I, Spring 2005
answer/grading key and solutions.
- Exam I, Fall 2005 (questions and answer key) - Professor Glasner's sections
- Exam I, Fall 2005 - common exam for other sections
questions and answer/grading key
- Exam I, Summer 2006
answer key.
- Exam I, Spring 2007
answer key.
- Exam I, Summer 2007
answer key.
- Exam I, Fall 2007
answer key.
- Exam I, Spring 2008
answer key.
- Exam I, Summer 2008
answer key.
Exam II
- Exam II, Spring 2000
- Exam II, Fall 2000
answer key.
- Exam II, Fall 2001
- Exam II, Summer 2002
answer key.
- Exam II, Fall 2002
answer key.
- Exam II, Spring 2003
answer key.
It says Exam 1 on the cover, but it is indeed the second exam.
- Exam II, Summer 2003
answer key.
- Exam II, Fall 2003
answer/grading key and complete solutions (very detailed).
Due to an error in putting together the exam package, the table of Laplace transforms was unavailable to students taking the conflict exam. Therefore, a separate set of Laplace transform problems was made as a mini re-test and given to the affected students as a remedy. Here is the Laplace re-test.
Exam II Laplace transforms make-up test, Fall 2003
answer key and complete solutions.
- Exam II, Spring 2004
answer key.
- Exam II, Spring 2005
answer key.
- Exam II, Fall 2005 (questions and answer key) - Professor Glasner's sections
- Exam II, Fall 2005 (questions and answer/grading key) - common exam for other sections
- Exam II, Summer 2006
answer key.
- Exam II, Spring 2007
- Exam II, Summer 2007
answer key.
- Exam II, Fall 2007
answer key.
- Exam II, Spring 2008
answer key.
- Exam II, Summer 2008
answer key.
Final Exam
- Final Exam, Fall 1999
- Final Exam, Spring 2000
- Final Exam, Fall 2000
answer key.
- Final Exam, Fall 2001
- Final Exam, Summer 2002
- Final Exam, Spring 2003
answer key.
- Final Exam, Summer 2003
answer key.
- Final Exam, Fall 2003
answer key.
- Final Exam, Spring 2004
answer key.
- Final Exam, Spring 2005 (questions and answer key)
- Final Exam, Fall 2005 - Professor Glasner's sections
- Final Exam, Fall 2005 - common exam for other sections
questions and answer/grading key
- Final Exam, Spring 2007
answer key
complete solution (detailed)
- Final Exam, Fall 2007
answer key
- Final Exam, Spring 2008
answer key
Additional sample problems can be found here: Math 250 Sample Exams Page
Send any question/comment about this page to:
tseng@math.psu.edu
Last modified: August 4, 2008