# Past Papers

Exam | Problems | Solutions | Remarks |
---|---|---|---|

Autumn 2020 | |||

Summer 2020 | pdf TMA4125_exam_q_7.py | In the solution problem 3, a factor \(\sqrt{2\pi}\) is missing in the convolution theorem. The final answer should be \(\sqrt{a\pi} e^{-\frac{x^2}{4a}}\). | |

Spring 2020 | There is a sign error in the solution of problem 2b. At the end, it should be \((1-(-1)^n)\) instead of \(1+(-1)^n\). | ||

Autumn 2019 | |||

Summer 2019 | The solution of problem 8 is wrong. What is implemented there is an explicit Euler method, not an implicit one. | ||

Spring 2019 | |||

Autumn 2018 | pdf(norsk) , pdf(english) | Here is a more detailed solution of Problem 2a. | |

Spring 2018 | |||

Aug-17 | 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. | ||

Spring 2017 | |||

Autumn 2016 | |||

Aug-16 | |||

Spring 2016 | |||

Autumn 2015 | |||

Spring 2015 | |||

Autumn 2014 | 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. |
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Autumn 2013 | |||

Autumn 2012 | |||

Spring 2011 | In problem 4b, the ODE should have been y''-6y'+9y=0. | ||

Autumn 2010 | |||

Spring 2010 | |||

Autumn 2009 | |||

Spring 2009 | |||

Autumn 2008 | |||

Spring 2008 | |||

Autumn 2007 | 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 e^{1-(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. |
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Autumn 2006 | |||

Spring 2006 | There is an error in problem 2a: The function f is equal to 1 for π/2 < x < π, not for π/2 < x < 1. |

You can find more past papers at: https://wiki.math.ntnu.no/tma4130/2011h/gamle_eksamensoppgaver