• 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

• 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 I, Fall 2008            answer key

• Exam I, Spring 2009            answer key

• (Math 251H Honors section) Mock/Practice Exam I, Spring 2009

• Exam I, Summer 2009            answer key
  There was only one midterm exam during the Summer semester, 2009. This is that exam. It covers up to section 6.2.

• Exam I, Fall 2009           

• Exam I, Spring 2010            answer key

• Exam I, Summer 2010            answer key

• Exam I, Fall 2010            answer key

• Exam I, Spring 2011            answer key

• Exam I, Summer 2011            answer key

• Exam I, Fall 2011            answer key

• Exam I, Spring 2012            answer/grading key

• 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

• Exam II, Fall 2008            answer/grading key (interim).
  This was a draft version of the grading key - there was a mistake in #12 (the correct answer is y(t)=e^{-3t} + u(t-2)(5/9+(t-2)/3-5/9 e^{-3(t-2)}) + u(t-3)e^{-3(t-3)}); in addition, also acceptable as an answer to #2(a) was "none", since the eigenvectors do not match what's given in the saddle point phase portrait.

• Exam II, Spring 2009            answer key

• (Math 251H Honors section) Mock/Practice Exam II, Spring 2009            answer key

• There was not a second midterm exam during the summer 2009 semester, only the exam I and final exam.

• Exam II, Fall 2009           

• Exam II, Spring 2010           

• Exam II, Summer 2010            answer key

• Exam II, Fall 2010            answer key

• Exam II, Spring 2011            answer key

• Exam II, Summer 2011            answer key

• Exam II, Fall 2011            answer/grading key

• Exam II, Spring 2012           

• 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

• Final Exam, Fall 2008            answer key

• Final Exam, Spring 2009            answer key

• (Math 251H Honors section) Mock/Practice Final Exam (version 1), Spring 2008/2009

• (Math 251H Honors section) Mock/Practice Final Exam (version 2), Spring 2008/2009

• Final Exam, Summer 2009            answer key
  This exam is shorter and simpler than usual. It is not a typical representative of the comprehensive final exams like the others.

• Final Exam, Fall 2009           

• Final Exam, Spring 2010            answer key

• Final Exam, Summer 2010            answer key

• Final Exam, Fall 2010            answer key

• Final Exam, Spring 2011            answer/grading key

• Final Exam, Summer 2011            answer key

• Final Exam, Fall 2011            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: April 24, 2012