# Lecture plan

This section contains the material covered in class, and thus, which will be evaluated on the exam. Everything that was covered in class or in the exercises is material for the exam.

#### Laplace transforms and Fourier analysis.

Lecturer: Xu Wang

The chapter numbers refer to the 10th edition of Kreyszig.

Week | Chapter | Content |
---|---|---|

34 | 6.1, 6.2 | Laplace transforms, transform of derivatives, ODE |

35 | 6.3, 6.4, 6.5 | Heaviside function, delta function, convolution |

36 | 6.6, 6.7, 11.1 | More ODEs, Fourier series |

37 | 11.2-11.4 | More Fourier series |

38 | 11.9, 9.6, A3.2 | Fourier transform, partial derivative |

39 | 12.1-12.4 | Wave equation |

40 | 12.5-12.7 | Heat equation |

#### Numerical methods.

Lecturer: Anne Kværnø

The curriculum is covered by the notes found in Jupyter notes. There are also pdf-versions of the notes available.

Week | Content |
---|---|

41 | Introduction to numerical methods. Polynomial interpolation |

42 | Numerical integration |

43 | Numerical solution of nonlinear equations |

44-45 | Numerical solution of ordinary differential equations |

46 | Numerical differentiation and numerical solution of partial differential equations. |

47 | Repetition (Wang and Kværnø). |

There are video lectures from 2011, which should only be considered as support, and not as replacement of the class lectures. Note that the order in which the different topics were discussed in 2011 differs from the lectures, the curriculum has also been altered, in particular the numerics part.