# 136.059 Mathematical Methods of Theoretical Physics This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_21",{id:"j_id_21",showEffect:"fade",hideEffect:"fade",target:"isAllSteop"});});This course is in at least 1 assigned curriculum part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_23",{id:"j_id_23",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});}); 2022W 2021W 2020W 2019W 2018W 2017W 2016W 2015W 2014W

2022W, VO, 4.0h, 7.0EC

## Properties

• Semester hours: 4.0
• Credits: 7.0
• Type: VO Lecture
• Format: Hybrid

## Learning outcomes

After successful completion of the course, students are able to calculate the spectrum of operators in vector spaces, to explain and use the index notation, to calculate in higher dimensions and to categorize different solution paths for certain differential equations and to transfer these methods to examples.

## Subject of course

1 Mathematical concepts: Tensors, metric, coordinate transformations 2 Partial Diffrenetial Equations 3 Solution methods for PDEs in Physics 4 Boundary and Eigenvalue-problems 5 Singular Differential equations 6 Special Functions 7 Generalized functions 8 Green-function techniques for solving inhomogenuous PDEs

## Teaching methods

I urge all colleagues already at this time to register for the TUWEL course; otherwise,  grading will be massively delayed!

A missing TUWEL entry will delay the grading considerably!

The oral presentation is augmented with visual aids, and students are encouraged to actively participate in the lecture.

## Mode of examination

Written

The course starts on October 4th, 2022.

Course location and time (depending on lecture hall release, please check these dates on short notice): Tuesday and Thursday, both from 11:00 to 13:00 FH HS6.

The lecture manuscript is available at http://tph.tuwien.ac.at/~svozil/publ/2019-mm.pdf.

In the first week on Tuesday and Thursday there will be a sale of scripts after the lecture in the area in front of the HS 6, namely on 4. 10. and on 6.10.2022 at about 12:45 p.m.; afterwards in the secretary's office FH yellow area 10th floor.

The price is EUR 15,-/piece. Please have the money ready if possible.

## Course dates

DayTimeDateLocationDescription
Tue11:00 - 13:0004.10.2022 - 24.01.2023FH Hörsaal 6 - TPH Course Mathematische Methoden der Theoretischen Physik
Thu11:00 - 13:0006.10.2022 - 26.01.2023FH Hörsaal 6 - TPH Course Mathematische Methoden der Theoretischen Physik
Mathematical Methods of Theoretical Physics - Single appointments
DayDateTimeLocationDescription
Tue04.10.202211:00 - 13:00FH Hörsaal 6 - TPH Course Mathematische Methoden der Theoretischen Physik
Thu06.10.202211:00 - 13:00FH Hörsaal 6 - TPH Course Mathematische Methoden der Theoretischen Physik
Tue11.10.202211:00 - 13:00FH Hörsaal 6 - TPH Course Mathematische Methoden der Theoretischen Physik
Thu13.10.202211:00 - 13:00FH Hörsaal 6 - TPH Course Mathematische Methoden der Theoretischen Physik
Tue18.10.202211:00 - 13:00FH Hörsaal 6 - TPH Course Mathematische Methoden der Theoretischen Physik
Thu20.10.202211:00 - 13:00FH Hörsaal 6 - TPH Course Mathematische Methoden der Theoretischen Physik
Tue25.10.202211:00 - 13:00FH Hörsaal 6 - TPH Course Mathematische Methoden der Theoretischen Physik
Thu27.10.202211:00 - 13:00FH Hörsaal 6 - TPH Course Mathematische Methoden der Theoretischen Physik
Thu03.11.202211:00 - 13:00FH Hörsaal 6 - TPH Course Mathematische Methoden der Theoretischen Physik
Tue08.11.202211:00 - 13:00FH Hörsaal 6 - TPH Course Mathematische Methoden der Theoretischen Physik
Thu10.11.202211:00 - 13:00FH Hörsaal 6 - TPH Course Mathematische Methoden der Theoretischen Physik
Thu17.11.202211:00 - 13:00FH Hörsaal 6 - TPH Course Mathematische Methoden der Theoretischen Physik
Tue22.11.202211:00 - 13:00FH Hörsaal 6 - TPH Course Mathematische Methoden der Theoretischen Physik
Thu24.11.202211:00 - 13:00FH Hörsaal 6 - TPH Course Mathematische Methoden der Theoretischen Physik
Tue29.11.202211:00 - 13:00FH Hörsaal 6 - TPH Course Mathematische Methoden der Theoretischen Physik
Thu01.12.202211:00 - 13:00FH Hörsaal 6 - TPH Course Mathematische Methoden der Theoretischen Physik
Tue06.12.202211:00 - 13:00FH Hörsaal 6 - TPH Course Mathematische Methoden der Theoretischen Physik
Tue13.12.202211:00 - 13:00FH Hörsaal 6 - TPH Course Mathematische Methoden der Theoretischen Physik
Thu15.12.202211:00 - 13:00FH Hörsaal 6 - TPH Course Mathematische Methoden der Theoretischen Physik
Tue20.12.202211:00 - 13:00FH Hörsaal 6 - TPH Course Mathematische Methoden der Theoretischen Physik

## Examination modalities

There are two written examinations; together with the practice tests (grouping like practice tests);

Friday, November 18, 2022, 16:00 - 18:00, in FH HS 5, FH HS 6, Hoersaal AI and EI 3 Sahulka HS (together with the "Uebungen")

and

Friday, January 20, 2023, 13:00 - 15:00, in FH HS5, FH HS6, HS 18 Czuber, Informatikhoersaal  (same as "Uebungen"---if you just take the lecture exam (no "Uebungen": please go to the Informatikhoersaal )

A maximum of 100 points can be achieved in each of these two tests.

Another "substitute test" will take place in the coming summer semester. The latter can be attended in order to improve a negative assessment (prerequisite: at least one positive test during the semester). The two best grades count.

Test dates:
Test 1 ("multiple choice"): the same date as the lecture exercises; see above; Content: unless otherwise stated in the lecture Linear algebra incl. tensors.

Test 2: the same date as the lecture exercises; see above; Content: if not otherwise stated in the lecture distributions, Green's functions until special functions of mathematical physics.

Replacement test:

NN   schriftlich  (Präsenz) . Please send me an email if you want to attend.

The replacement test replaces the worst of the two previous tests. Participation only for candidates who have received a negative assessment on the LVA.

The subject area of the retest is the entire content of the LVA.

Grading scheme: Per test up to 100 "raw" points can be obtained.

The "standardisation" of these "raw" points T1 and T2 is carried out according to the following formula:
Normalized points = (T1 + T2 - 40) * 200 / 160

For a positive assessment, at least 21 standardised points must have been achieved per test.
A total of at least 71 standardized points must have been achieved in both tests.

71-100 standardized points: sufficient
101-130 standardized points: satisfactory
131-165 standardized points: good
166-200 standardized points: very good

## Course registration

Begin End Deregistration end
04.10.2022 12:00 08.02.2023 12:00

## Curricula

Study CodeObligationSemesterPrecon.Info
033 261 Technical Physics Mandatory3. Semester

German