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The course on *Mathematical Geophysics* consists of a lecture (P1.1) and an accompanying excercise class (P1.2). It is part of the mandatory module *Fundamentals from Mathematics and Physics* (P1) of the master's programme in Geophysics.

- The course consists of 4 SWS lecture and 2 SWS exercise class:
- Monday, 10:00 – 11:30, Theresienstr. 41, Room C419
- Tuesday, 08:30 – 10:00, Theresienstr. 41, Room C419 [Exercise]
- Thursday, 12:30 – 14:00, Theresienstr. 41, Room C419

- The course is being taught by Dr. Mohr.
- ECTS credits are awarded based on the results of a written exam.
**Update to schedule**: Course on Monday 23 December is moved to Friday 13 December (C419, 10-11:30)

The following list gives an overview on the topics typically covered in the course (if time permits):

- Coordinate Systems
- Differential Operators & Scalar and Vector Potentials
- Primer on Partial Differential Equations
- Distributions
- Green's Functions
- Spherical Harmonics

The contents of the course are mostly based on the following two textbooks available from the university library of LMU:

- Roel Snieder,
(Mathematics, Physics & Meteorology library: 1705/M 10 Sni 15966 and Geolibrary: 2005/B q 15)*A Guided Tour of Mathematical Methods for the Physical Sciences*, Cambridge University Press - Yehuda Pinchover and Jacob Rubinstein,
(Mathematics, Physics & Meteorology library: 1600/SK 540 P647+3)*An Introduction to Partial Differential Equations*, Cambridge University Press

Two master students compiled a PDF of the lecture. It is based on the course as given in winter term 2011/2012. Neither was it proofread by Dr. Mohr, nor will it necessarily be 100% consistent with this year's course. It is provided solely as supportive material as intended by the two students. Please always compare it to your classroom notes.

- Bessel Functions and Normal Modes of a Drum (PDF)
- Spherical Harmonics (PDF)
- Toroidal and Poloidal Fields (PDF)

assignment sheets |
sample solutions |

sheet #1 (PDF) | exercises 1-3 (PDF) |

sheet #2 (PDF) | exercises 4-7 (PDF) |

sheet #3 (PDF) | exercises 8-11 (PDF) |

sheet #4 (PDF) | exercises 12-15 (PDF) |

sheet #5 (PDF) | exercises 16-19 (PDF) |

sheet #6 (PDF) | exercises 20-21 (PDF) |

sheet #7 (PDF) | exercises 22-24 (PDF) |

sheet #8 (PDF) | exercises 25-26 (PDF) |

sheet #9 (PDF) | exercises 27-28 (PDF) |

sheet #10 (PDF) | exercises 29-31 (PDF) |

sheet #11 (PDF) | exercises 32-34 (PDF) |

- Sample solution for exercise #3 of the mock exam

Please note that the table below only contains results for students that checked the "yes" box on the exam's frontpage.

student number |
points |
grade |
||||||

ex. 1 |
ex. 2 |
ex. 3 |
ex. 4 |
ex. 5 |
ex. 6 |
sum |
||

12168099 | 15,0 | 20,0 | 8,0 | 13,0 | 8,5 | 13,0 | 77,5 | 1,3 |

12180616 | 14,5 | 15,0 | 7,0 | 13,0 | 10,0 | 12,5 | 72,0 | 2,0 |

11300509 | 12,5 | 16,0 | 8,0 | 11,5 | 9,5 | 13,0 | 70,5 | 2,0 |

11186890 | 13,5 | 18,5 | 8,0 | 12,0 | 6,5 | 12,0 | 70,5 | 2,0 |

12188105 | 15,0 | 18,0 | 8,0 | 10,0 | 0,0 | 10,5 | 61,5 | 2,7 |

11719354 | 15,0 | 13,0 | 6,0 | 10,0 | 5,5 | 12,0 | 61,5 | 2,7 |

12140318 | 14,0 | 16,5 | 7,5 | 9,0 | 5,0 | 7,0 | 59,0 | 3,0 |

12141541 | 10,0 | 17,0 | 6,0 | 10,0 | 5,0 | 10,0 | 58,0 | 3,0 |

11318095 | 8,5 | 14,0 | 8,0 | 7,0 | 7,0 | 11,0 | 55,5 | 3,3 |

11318288 | 10,5 | 16,5 | 7,0 | 1,5 | 0,0 | 11,0 | 46,5 | 4,0 |

11318502 | 10,5 | 9,5 | 5,0 | 1,5 | 1,0 | 1,0 | 28,5 | 5,0 |

12167950 | 9,0 | 9,0 | 5,5 | 2,5 | 2,0 | 0,0 | 28,0 | 5,0 |

11621890 | 8,0 | 6,0 | 8,0 | 1,5 | 0,0 | 0,0 | 23,5 | 5,0 |

Mustermann, Erika | 15,0 | 20,0 | 8,0 | 15,0 | 17,0 | 13,0 | 88,0 | 1,0 |

Printed 30. Mar 2020 12:54