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[ 461GACTAMMU23 ] UE (*)Advanced Mathematical Methods in Physics
Versionsauswahl
(*) Leider ist diese Information in Deutsch nicht verfügbar.
Workload Ausbildungslevel Studienfachbereich VerantwortlicheR Semesterstunden Anbietende Uni
1,5 ECTS M2 - Master 2. Jahr Physik Helga Böhm 1 SSt Johannes Kepler Universität Linz
Detailinformationen
Quellcurriculum Masterstudium Physics 2025W
Lernergebnisse
Kompetenzen
(*)Upon successful completion of the course, students are able to demonstrate a comprehensive understanding of the foundation and application of mathematical methods used in theoretical physics. The topics covered in the course complement the topics taught in the mandatory BSc mathematics courses. The specific topics vary and possible topics are listed below.

This exercise is methodologically complemented by the lecture Advanced Mathematical Methods in Physics.

Fertigkeiten Kenntnisse
(*)Upon completing the course, students will possess the following skills. They are able to

  • carry out the mathematical derivations of important theorems from the lecture (k3);
  • carry out derivations of mathematical relations related to but not from the lecture (k4);
  • apply the mathematical methods derived in the class to other physical problems (k3).
(*)During the course, students will acquire knowledge about advanced mathematical methods in physics, selected from the topics below:

  • complex calculus and theorem of residues;
  • Fourier analysis;
  • Greensfunction formalism for partial differential equations;
  • nonlinear differential equations;
  • variational methods in physics;
  • functional analysis;
  • integral equations;
  • distributions;
  • topology;
  • random-matrix theory.
Beurteilungskriterien (*)Evaluation will be based on (1) the number/quality of successfully solved exercises and, if applicable, (2) written tests.
Details will be announced at the beginning of the semester.
Lehrmethoden (*)Students solve exercise problems as homework and/or jointly during the exercise class. Discussion of the course topics and solution of exercises.
Abhaltungssprache Englisch
Literatur (*)as announced in the course
Lehrinhalte wechselnd? Ja
Frühere Varianten Decken ebenfalls die Anforderungen des Curriculums ab (von - bis)
461WTPHFMMU18: UE Fortgeschrittene Mathematische Methoden der Physik (2018W-2023S)
TPMWTUEFMAM: UE Fortgeschrittene Mathematische Methoden der Physik (2012W-2018S)
Präsenzlehrveranstaltung
Teilungsziffer 25
Zuteilungsverfahren Zuteilung nach Vorrangzahl