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Mathematical Geophysics WS 19/20

General Overview

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


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

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)
by Marcus Mohr last modified 27. Jan 2020 14:10
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Printed 18. Feb 2020 04:10