Mathematical Methods of Physics 2
This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.
PH9111 is a semester module in German or English language at Bachelor’s level which is offered in summer semester.
This Module is included in the following catalogues within the study programs in physics.
- Physics Modules for Students of Education
If not stated otherwise for export to a non-physics program the student workload is given in the following table.
|Total workload||Contact hours||Credits (ECTS)|
|180 h||75 h||6 CP|
Responsible coordinator of the module PH9111 is Dietrich Einzel.
Content, Learning Outcome and Preconditions
Ordinary differential equations of first order:
physics examples for differential equations, direction fields, separation of variables, homogeneous and inhomogeneous differential equations, particulate solution by variation of constants, relaxator, approximation methods.
Ordinary differential equations of second order:
homogeneous differential equations, linear independence of solutions: Wronski determinant, Abelian identity, inhomogeneous differential equations, particulate solution by variation of constants, oscillation differential equation with and without damping.
Calculus of variations:
Euler-Lagrange equation for one variable, Euler-Lagrange equation for multiple variables, variational problems with side condition, Fermat principle, Hamilton principle
After the successful participation in the module the student is able to:
- classify and solve ordinary differential equations of first order
- analyse and solve ordinary differential equations of second order
- know and apply the methods of variational calculus.
Mathematical Methods of Physics 1 (PH9110)
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
|VU||5||Mathematische Methoden der Physik 2||Einzel, D.||
sowie Termine in Gruppen
Learning and Teaching Methods
lecture: teacher-centred teaching
writing on blackboard, presentation
Mathematische Hilfsmittel der Physik, W. Kuhn, H. Stöckel und H. Glaßl, Johann Ambrosius Barth Verlag, Heidelberg, Leipzig, 1995
Mathematische Methoden in der Physik, C. B. Lang, N. Pucker, Spektrum Akademischer Verlag, Heidelberg, Berlin, 1998
Der mathematische Werkzeugkasten – Anwendungen in der Natur und Technik, G. Glaeser, Spektrum Akademischer Verlag, Heidelberg, Berlin, 2004