TMA4115 - Calculus 3, spring 2013 - Exam problems

Year	Semester	Norwegian	English	Solutions
2013	Kont	Norwegian	English	Solution (in English)
2013	Spring	Norwegian	English	Solution (in English)
2012	Fall	Norwegian	English	Solution (in English)
2012	Kont	Norwegian	English	Solution (in English)
2012	Spring	Norwegian	English	Solution (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)

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 fall 2012 are relevant for the current version of the course.
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 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.