# Exercises

On this page you will find exercise sets and solution proposals.

In total, 12 exercise sheets will be provided. In order to get access to the exam, you should submit **8 approved exercise sheets** (4 from the first part of the lecture, and 4 from the second part of the class). It is, however, strongly recommended that you complete all exercise sets.

## Approvals from previous semesters

If you have fulfilled the exercise requirements a previous semester (in either of the courses TMA4130, TMA4125, or TMA4135, you do *not* have to do so again. If you want confirmation that you have a registered approval from previous semesters, you need to contact Studentservice.

## Submissions: time and place

Exercises will be posted online on Mondays of the week that the corresponding topics are discussed in the lectures.
Scripts are due *online* **by 23:59 on Friday in the week after publication**.
You must submit your exercise set on ovsys.
If you want comments on your mistakes, write so clearly on the paper.

## Exercise sheets

First set of six exercises exercises (for which 4 must be approved):

Session in Week | Deadline for hand-in | Exercise | Solutions |
---|---|---|---|

35 | September 4 | Exercise 1 | Solutions 1 |

36 | September 4 | Exercise 2 | Solutions 2 |

37 | September 11 | Exercise 3 | Solutions 3 |

38 | September 18 | Exercise 4 | Solutions 4 |

39 | September 25 | Exercise 5 | Solutions 5 |

40 | Oktober 2 | Exercise 6 | Solutions 6 |

Second set of six exercises exercises (for which 4 must be approved):

Session in Week | Deadline for hand-in | Exercise | Required Jupyter notebooks | Solutions |
---|---|---|---|---|

41 | Oktober 9 | Exercise 7 | Solutions 7 | |

42 | Oktober 16 | Exercise 8 | Preliminaries Nonlinear Equations | Solutions 8 |

43 | Oktober 23 | Exercise 9 | Nonlinear Equations | Solutions 9 |

44 | Oktober 30 | Exercise 10 | Numerical quadrature | Solutions 10 Notebook |

45 | November 6 | Exercise 11 | Numerical ODEs | Solutions 11 Notebook |

46 | November 13 | Exercise 12 | Numerical ODEs, Stiff ODEs | Solutions 12 Notebook |

If (and only if) you have, or expect to have, precisely 7 approved exercises amongst the first 12,
you may hand in the following exercise sheet. The deadline is Sunday, November 15, 23:59.
There won’t be any guidance for this exercise sheet in the exercise classes, but we will publish solutions.

Session in Week | Deadline for hand-in | Exercise | Required Jupyter notebooks | Solutions |
---|---|---|---|---|

- | November 15 (!) | Exercise 13 | Numerical PDEs | Solutions 13 Notebook |

For the exercises involving code, please hand in the code in a single file. You can use the following python template or ipynb template. If you use the ipynb template, please make sure that all required outputs are produced before uploading the file. If you use the python template, you need to include the output of the code, as exemplified in the template.