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Physik-Institut

PHY312 Mathematical Methods of Physics I

General Information

Lecturer: Prof. Philippe Jetzer - Y36 K82
Assistants:

Mohammad Alminawi - Y36 J38

Leonardo Bonino - Y36 K74

Weijie Feng - Y36 K74

Lucijana Stanic - Y11 F74

Lecture

  • Time: Tuesdays and Thursday, 13:00 - 14:45
  • Venue: Y03 G95
  • Lecture notes:
    MMP1.pdf (PDF, 930 KB), updated on 02 October 2024;
    MMP2.pdf (PDF, 978 KB), updated on 31 October 2024;

    Relevant Chapters for This Course:

    • 1 Fourierreihen (MMP1)
    • 2 Fouriertransformation (MMP1)
    • 1 Funktionentheorie (MMP2)
    • 4 Variationsrechnung (MMP1)
    • 5 Lineare Opertoren, Eigenwertprobleme (MMP1)
    • 6 Kugelfunktionen (MMP1)
 

Exercises

 Exercise sheets will be published each Tuesday, starting from 24th of September. The hints will be given in the tutorial on Friday of the same week, and the solutions will be discussed in the tutorial of the week after.

Submission Deadline: 13:00 on Tuesdays, through the OLAT page of the course

Tutorial:

Students are kindly to asked to go to certain lecture rooms according to their surnames.

  • Venue: Surnames A-K: Y16 G05; surnames L-Z: Y36 K08
  • Time: Friday, 08:00 - 09:45
Sheet01 (PDF, 143 KB)

Sheet02 (PDF, 131 KB)

Sheet03 (PDF, 159 KB)

Sheet04 (PDF, 129 KB)

Sheet05 (PDF, 131 KB)
Sheet06 (PDF, 47 KB)
Sheet07 (PDF, 50 KB)
Sheet08 (PDF, 131 KB)
Sheet09 (PDF, 142 KB)

Sheet10 (PDF, 171 KB)

Sheet11 (PDF, 151 KB)

Sheet 12 (PDF, 153 KB)

Exam

General Information

Time: 09:00 - 12:00, 10th January, 2025.

Venue: Y03 G85.

Form of Exam: Written; open-book; printed materials allowed; no electronic devices allowed.

Conditions to attend the exam: 60% of the exercises assigned during the course must be delivered and carried out correctly.
It is strongly recommended for the students to go at least once to the blackboard to solve the assigned exercise during the exercise session.

Q&A Session before Exam

We offer a Q&A session before the exam.

Time: 14:00 - 16:00, 8th January, 2025.

Venue: Y36 K08.

Repetition Exam

Time: 09:00 - 12:00, 25th April, 2025.

Venue: Y16 G05.

Bibliography

  • R. Courant and D. Hilbert, Methoden der Mathematischen Physik I, Springer-Verlag 1968 (Methods of Mathematical Physics, Interscience 1953 - 3 Bände)
  • E. Whittaker and G. Watson, A Course of Modern Analysis, Cambridge University Press 1995
  • G.B. Arfken and H.J. Weber, Mathematical Methods for Physicists, Academic Press, Inc. 1995
  • E. Stiefel, Methoden der Mathematischen Physik I und II, Verlag der Fachvereine an der ETHZ 1973
  • W. Walter, Gewöhnliche Differentialgleichungen (Eine Einführung), Springer-Verlag 1976
  • H. Cartan, Elementare Theorien der Analytischen Funktionen einer oder mehreren Komplexen Veränderlichen, BI Hochschultaschenbücher Band 112, 1966
  • Serge Lang, Complex Analysis, Springer Verlag 1993
  • L.V. Ahlfors, Complex Analysis, 2nd ed. 1966
  • J.F. Cornwell, Group theory in physics, Academic Press 1984
  • H. Weyl, The classical groups, their invariants and representations, Princeton University Press, 1961