====== Gamle eksamener ======
I tabellen finnes en kolonne med informasjon om hvilke eksamensoppgaver som ikke er relevante. To merknader går igjen, 'Ikke relevant' og 'Pensum i MX'. 'Ikke relevant' betyr at du ikke trenger å kunne noe om det. 'Pensum i MX' betyr at jeg antar at du kan besvare oppgaven, men det betyr også at det ikke kommer på eksamen i år.
^ Exam ^ Problems ^ Solutions ^ Remarks ^ Relevant? ^
| Spring 2006 | [[http://www.math.ntnu.no/emner/TMA4130/2013h/oldExams/eksamen-bok_2006v.pdf|pdf]] | [[http://www.math.ntnu.no/emner/TMA4130/2013h/oldExams/lf-en_2006v.pdf|pdf]] | There is an error in problem 2a:\\ The function f is equal to 1 for pi/2 < x < pi, not for pi/2 < x < 1. | **6:** Ikke relevant. |
| Autumn 2006 | [[http://www.math.ntnu.no/emner/TMA4130/2013h/oldExams/eksamen-bok_2006.pdf|pdf]] | [[http://www.math.ntnu.no/emner/TMA4130/2013h/oldExams/lf-bok_2006.pdf|pdf]] | | |
| Autumn 2007 | [[http://www.math.ntnu.no/emner/TMA4130/2013h/oldExams/exam-en_2007.pdf|pdf]] | [[http://www.math.ntnu.no/emner/TMA4130/2013h/oldExams/lf-en_2007.pdf|pdf]] | In problem 1, the integration should be with respect to u and not t (in other words: replace the dt in the integral by du).\\ In the solution of problem 2b, the time dependent part should be e((1-(n/2)^2)t instead of e1-(n/2)^2 t.\\ In problem 4b, the approximation for u' '(0.1) is 4.545 and not 5.03 as claimed in the solutions. | **4a:** Pensum i M3. |
| Spring 2008 | [[http://www.math.ntnu.no/emner/TMA4130/2013h/oldExams/eksamen-bok_2008v.pdf|pdf]] | [[http://www.math.ntnu.no/emner/TMA4130/2013h/oldExams/lf-bok_2008v.pdf|pdf]] | | **4b:** Ikke relevant. \\ **5b:** Pensum i M1. |
| Autumn 2008 | [[http://www.math.ntnu.no/emner/TMA4130/2013h/oldExams/eksamen-bok_2008.pdf|pdf]] | [[http://www.math.ntnu.no/emner/TMA4130/2013h/oldExams/lf-bok_2008.pdf|pdf]] | | **4b:** Ikke relevant. |
| Spring 2009 | [[http://www.math.ntnu.no/emner/TMA4130/2013h/oldExams/eksamen-bok_2009s.pdf|pdf]] | [[http://www.math.ntnu.no/emner/TMA4130/2013h/oldExams/lf-bok_2009s.pdf|pdf]] | | |
| Autumn 2009 | [[http://www.math.ntnu.no/emner/TMA4130/2013h/oldExams/eksamen-bok_2009.pdf|pdf]] | [[http://www.math.ntnu.no/emner/TMA4130/2013h/oldExams/lf-bok_2009.pdf|pdf]] | | **6:** Ikke relevant. |
| Spring 2010 | [[http://www.math.ntnu.no/emner/TMA4130/2013h/oldExams/eksamen-bok_2010s.pdf|pdf]] | [[http://www.math.ntnu.no/emner/TMA4130/2013h/oldExams/lf-bok_2010s.pdf|pdf]] | | **6:** Ikke relevant. |
| Autumn 2010 | [[http://www.math.ntnu.no/emner/TMA4130/2013h/oldExams/eksamen-bok_2010.pdf|pdf]] | [[http://www.math.ntnu.no/emner/TMA4130/2013h/oldExams/lf-bok_2010.pdf|pdf]] | | |
| Spring 2011 | [[http://www.math.ntnu.no/emner/TMA4130/2013h/oldExams/eksamen-bok_2011v.pdf|pdf]] | [[http://www.math.ntnu.no/emner/TMA4130/2013h/oldExams/lf-bok_2011v.pdf|pdf]] | In problem 4b, the ODE should have been y''-6y'+9y=0. | |
| Autumn 2012 | | [[http://www.math.ntnu.no/emner/TMA4130/2013h/oldExams/solutions_2012h.pdf|pdf]] | | |
| Autumn 2013 | [[http://www.math.ntnu.no/emner/TMA4130/2013h/oldExams/eksamen-bok_2013h.pdf|pdf]] | [[http://www.math.ntnu.no/emner/TMA4130/2013h/oldExams/solutions_2013h.pdf|pdf]] | Noe tull i oppgave 1b. | |
| Autumn 2014 | [[https://wiki.math.ntnu.no/_media/tma4130/2014h/eksam2014.pdf|pdf]] | [[https://wiki.math.ntnu.no/_media/tma4130/2014h/solutions_4n_1.pdf|pdf]] | There is an error in problem 5a: \\ The interpolation points xi should be -2,-1,0,1,2 instead of -2,1,0,1,2. | **5b:** Pensum i M1. \\ **6b:** Ikke relevant. |
| Spring 2015 | [[http://www.math.ntnu.no/emner/TMA4123/2015v/eksamen/eksamen-nb.pdf|pdf]] | [[http://www.math.ntnu.no/emner/TMA4123/2015v/eksamen/eksamen-lf.pdf|pdf]] | | **7:** Ikke relevant. |
| Autumn 2015 | {{:tma4130:2016h:bokmal.pdf|pdf}} | {{:tma4130:2016h:loesningsforslag_tma4130_h15_v2.pdf|pdf}} | | **5:** Pensum i M1. \\ **9:** Ikke relevant. |
| Spring 2016 | {{ :tma4125:2017v:tma4123_4125.pdf |pdf}} | {{ :tma4125:2017v:mn16lf.pdf |pdf}} | | **1:** Ikke relevant. \\ **4:** Pensum i M1. \\ **8:** Ikke relevant. |
| August 2016 | {{:tma4130:2016h:english.pdf|pdf}} | {{:tma4130:2016h:solutions.pdf|pdf}} | | **3:** Pensum i M1. \\ **4:** Ikke relevant. |
| Autumn 2016 | {{ :tma4125:2017v:n16h.pdf |pdf}} | {{ :tma4125:2017v:n16hlf.pdf |pdf}} | | **7:** Pensum i M1. \\ **9:** Ikke relevant. |
| Spring 2017 | {{ :tma4130:2017h:exam.pdf |pdf}} | {{ :tma4130:2017h:examsol.pdf |pdf}} | In the solution of problem 8, p. 6, the matrix formula in the middle of the page, the vector (2,0,0) should be (4,0,0). The rest of the solution should be corrected accordingly. | **5:** Ikke relevant. \\ **6:** Pensum i M1. |
| August 2017 | {{ :tma4130:2017h:kont_bok.pdf |pdf}} | {{ :tma4130:2017h:solutions_kont2017.pdf |pdf}} | In the solution of problem 2b), the sign of k in equation (1) and (2) should be the opposite for the rest of the solution to make sense. In the solution of problem 5, the y_2 should use 0.995, and not 1 in their computation. | **5:** Forbedret Euler=Heuns metode. |
| Autumn 2017 | {{ :tma4125:2018v:tma4130_final_exam_december_v2.pdf |pdf}} | {{ :tma4125:2018v:tma4130_final_exam_december_v2_solution.pdf |pdf}} | | **3c:** Pensum i M3. \\ **4a:** Pensum i M1. \\ **6:** Ikke relevant. |
| Spring 2018 | {{:tma4125:2018v:tma4125_final_exam_may_bm.pdf|pdf}} | {{:tma4125:2018v:tma4125_final_exam_may_solution.pdf|pdf}} | | **4a:** Pensum i M1. \\ **7c:** Denne kan du løse slik du vil. Blås i retningslinjene. |
You can find more old exams at:
https://wiki.math.ntnu.no/tma4130/2011h/gamle_eksamensoppgaver