Mathematical Methods of Physics 1
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.
PH9110 is a semester module in German or English language at Bachelor’s level which is offered in winter 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 PH9110 is Dietrich Einzel.
Content, Learning Outcome and Preconditions
Differential and integral calculus for functions with one variable:
Differentiation rules, Taylor expansion, Bernoulli-L’Hospital rule, curve sketching, numerical differentiation, integration rules, numerical integration, elliptical integration.
Differential and integral calculus for functions with multiple variables:
Recapitulation of vector calculus, scalar fields, vector fields, partial differentiation, gradient, total differential, directional derivative, expanded chain rule, Taylor expansion, relative extreme values of functions with multiple variables, curves in Rn, line integral, path independency and antiderivative, double and surface integrals, trifold and volume integrals, fundamentals of vector analysis (gradient, divergence, rotation).
After the successful participation in the module the student is able to:
- master and apply the most important rules of differential calculus
- know and apply the most important rules of integral calculus
- know the possibilities of numerical integration and elliptical integrals
- master the fundamentals of vector calculus
- apply differentiation and integration to functions with multiple variables
- describe the fundamentals of vector analysis.
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
|VU||5||Mathematische Methoden der Physik 1||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