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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.

Organisation

  • 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)

Contents

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

Literature

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)

Script

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.

Slides

  • 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)

Results of 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
1216809915,020,08,013,0 8,513,077,51,3
1218061614,515,07,013,010,012,572,02,0
1130050912,516,08,011,5 9,513,070,52,0
1118689013,518,58,012,06,512,070,52,0
1218810515,018,08,010,0 0,010,561,52,7
1171935415,013,06,010,0 5,512,061,52,7
1214031814,016,57,5 9,0 5,0 7,059,03,0
1214154110,017,06,010,0 5,010,058,03,0
11318095 8,514,08,0 7,0 7,011,055,53,3
1131828810,516,57,0 1,5 0,011,046,54,0
1131850210,5 9,55,0 1,5 1,0 1,028,55,0
12167950 9,0 9,05,5 2,5 2,0 0,028,05,0
11621890 8,0 6,08,0 1,5 0,0 0,023,55,0
Mustermann, Erika15,020,08,015,017,013,088,01,0
by Marcus Mohr last modified 13. Mar 2020 16:48
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Printed 03. Apr 2020 00:02