TMA4115 - Calculus 3, Spring 2016 - Old Exam problems

See the remarks at the bottom for which questions are still relevant. All of the solutions should now have been published. Any broken links should be reported to the course coordinator.

Year Semester Norwegian English Solutions
2015 Fall Norwegian English Solutions (in English)
2015 Spring Solutions (in English)
2015 Kont English Solutions (in English)
2014 Fall English Solutions (in English)
2014 Kont Solutions (in English)
2014 Spring Norwegian English Solutions(in English)
2013 Autumn Norwegian English Solutions(in English)
2013 Kont Norwegian English Solutions(in English)
2013 Spring Norwegian English Solutions(in English)
2012 Fall Norwegian English Solution (in English)
2012 Kont Norwegian English Solution (in English)
2012 Spring Norwegian English Solutions (in English)
2011 Fall Norwegian English Solution (in Norwegian)
2011 Kont Norwegian English Solution (in Norwegian)
2011 Spring Norwegian English Solution (in Norwegian)
2010 Fall Norwegian English Solution (in Norwegian)
2010 Kont Norwegian English Solution (in Norwegian)
2010 Spring Norwegian English Solution (in Norwegian)
2009 Fall Norwegian English Solution (in Norwegian)
2009 Kont Norwegian Solution (in Norwegian)
2009 Spring Norwegian Solution (in Norwegian)
2008 Fall Norwegian Solution (in Norwegian)
2008 Kont Norwegian Solution (in Norwegian)
2008 Spring Norwegian Solution (in Norwegian)
2007 Fall Norwegian English Solution (in Norwegian)
2007 Kont Norwegian English Solution (in Norwegian)
2007 Spring Norwegian English Solution (in Norwegian)
2006 Fall Norwegian English Solution (in Norwegian)
2006 Kont Norwegian Solution (in Norwegian)
2006 Spring Norwegian English Solution (in Norwegian)
2005 Fall Norwegian Solution (in Norwegian)
2005 Kont Norwegian Solution (in Norwegian)
2005 Spring Norwegian Solution (in Norwegian)
2004 Fall Norwegian English Solution (in Norwegian)
2004 Kont Norwegian English Solution (in Norwegian)
2004 Spring Norwegian English Solution (in Norwegian)

If you want to do exam problems relevant to some specific part of curriculum, check out Exam problems according to catogory.

Notice that the course has changed over the years, so no all problems are relevant for the current version of the course. In particular, problems about Euler's method, problems with Cauchy–Euler equations (differential equations of the form \(x^ny^{(n)}(x)+a_{n-1}x^{n-1}y^{(n-1)}(x)+\dots +a_0y(x)=f(x)\)), and problems about first order linear differential equations are not relevant for the current version of the course (but problems about systems of first order linear differential equations are very relevant).

  • All problems on the exam kont 2012 are relevant for the current version of the course.
  • All problems on the exam from spring 2012 are relevant for the current version of the course.
  • All problems on the exam from fall 2011 are relevant for the current version of the course.
  • All problems on the exam kont 2011 are relevant for the current version of the course (but notice that in Problem 6 in the English version, the two arrows between the tanks are going in the wrong directions).
  • On the exam from spring 2011, all problems with the exemption of Problem 3b are relevant for the current version of the course.
  • On the exam from fall 2010, all problems with the exemption of Problem 3 are relevant for the current version of the course.
  • On the exam kont 2010, all problems with the exemption of Problem 4 are relevant for the current version of the course.
  • On the exam from spring 2010, all problems with the exemption of Problem 3 are relevant for the current version of the course.
  • On the exam from fall 2009, all problems with the exemption of Problem 3 are relevant for the current version of the course.
  • On the exam kont 2009, all problems with the exemption of Problem 3 are relevant for the current version of the course.
  • On the exam from spring 2009, all problems with the exemption of Problem 3 are relevant for the current version of the course.
  • All problems on the exam fall 2008 with the exemption of Problem 2c are relevant for the current version of the course.
  • On the exam kont 2008, all problems with the exemption of Problem 2c are relevant for the current version of the course.
  • All problems on the exam spring 2008 are relevant for the current version of the course.
  • All problems on the exam fall 2007 are relevant for the current version of the course.
  • On the exam kont 2007, all problems with the exemption of Problem 2c are relevant for the current version of the course.
  • On the exam spring 2007, all problems with the exemption of Problem 3 are relevant for the current version of the course.
  • On the exam fall 2006, all problems with the exemption of Problem 2c are relevant for the current version of the course.
  • All problems on the exam kont 2006 are relevant for the current version of the course.
  • All problems on the exam spring 2006 are relevant for the current version of the course.
  • On the exam fall 2005, all problems with the exemption of Problem 2a and Problem 2c are relevant for the current version of the course.
  • On the exam kont 2005, all problems with the exemption of Problem 2 and Problem 3 are relevant for the current version of the course.
  • On the exam spring 2005, all problems with the exemption of Problem 2a are relevant for the current version of the course.
  • On the exam fall 2004, all problems with the exemption of Problem 2c are relevant for the current version of the course.
  • On the exam kont 2004, all problems with the exemption of Problem 3 are relevant for the current version of the course.
  • On the exam spring 2004, all problems with the exemption of Problem 2 are relevant for the current version of the course.
2016-05-06, Herman Galteland