# 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_20",{id:"j_id_20",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_22",{id:"j_id_22",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});}); 2021W 2020W 2019W 2018W 2017W 2016W 2015W 2014W

2021W, VO, 4.0h, 7.0EC

## Properties

• Semester hours: 4.0
• Credits: 7.0
• Type: VO Lecture
• LectureTube course
• 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

ZOOM:

Topic: 136.059 Mathematische Methoden der Theoretischen Physik
Time: This is a recurring meeting Meet anytime

Join Zoom Meeting
https://tuwien.zoom.us/j/92842298862?pwd=SlVSVEpXeFJqUENFZzQ0MnlmMDEyUT09

Meeting ID: 928 4229 8862

On Dec 16, 2021 the lecture is postponed for one hour and starts at 11 am.

(preliminary suspended)

Video livestream of the lecture (in German): https://live.video.tuwien.ac.at/room/da02k01/player.html

[[Only if all else fails: Join Zoom Meeting Meeting ID: 814 648 9886 ]]

*) The grouping---if necessary due to the number of participants---is based on the grouping of the previous lecture. In case a lecture held before is cancelled or only held online, the grouping of the following lecture will be used. If there is no grouping in the latter, then the grouping of the methods lecture in that week will be retained.

Please follow, in particular, the grouping as explained @ https://tiss.tuwien.ac.at/course/courseDetails.xhtml?dswid=3604&dsrid=712&courseNr=134120&semester=2021W

*) I urge all colleagues already at this time to register for the TUWEL course; otherwise, no grading can be given!

A missing TUWEL entry will delay the grading considerably!

*) If you want to buy course notes (@ EUR 15): there will be a possibility to buy these notes in front of the lecture hall before the lectureand please have EUR 15 ready without needing exchange money. Here are the dates:

Tue,         5.10.,    11.45 Uhr

Thu,        7.10.,    11.45 Uhr

Tue,         12.10., 11.45 Uhr

Thu,        14.10.,  11.45 Uhr

## Course dates

DayTimeDateLocationDescription
Tue10:00 - 12:0005.10.2021 - 25.01.2022FH Hörsaal 6 - TPH Methoden d.Theor.Physik
Thu10:00 - 12:0007.10.2021 - 27.01.2022FH Hörsaal 6 - TPH Methoden d.Theor.Physik
Mathematical Methods of Theoretical Physics - Single appointments
DayDateTimeLocationDescription
Tue05.10.202110:00 - 12:00FH Hörsaal 6 - TPH Methoden d.Theor.Physik
Thu07.10.202110:00 - 12:00FH Hörsaal 6 - TPH Methoden d.Theor.Physik
Tue12.10.202110:00 - 12:00FH Hörsaal 6 - TPH Methoden d.Theor.Physik
Thu14.10.202110:00 - 12:00FH Hörsaal 6 - TPH Methoden d.Theor.Physik
Tue19.10.202110:00 - 12:00FH Hörsaal 6 - TPH Methoden d.Theor.Physik
Thu21.10.202110:00 - 12:00FH Hörsaal 6 - TPH Methoden d.Theor.Physik
Thu28.10.202110:00 - 12:00FH Hörsaal 6 - TPH Methoden d.Theor.Physik
Thu04.11.202110:00 - 12:00FH Hörsaal 6 - TPH Methoden d.Theor.Physik
Tue09.11.202110:00 - 12:00FH Hörsaal 6 - TPH Methoden d.Theor.Physik
Thu11.11.202110:00 - 12:00FH Hörsaal 6 - TPH Methoden d.Theor.Physik
Tue16.11.202110:00 - 12:00FH Hörsaal 6 - TPH Methoden d.Theor.Physik
Thu18.11.202110:00 - 12:00FH Hörsaal 6 - TPH Methoden d.Theor.Physik
Tue23.11.202110:00 - 12:00FH Hörsaal 6 - TPH Methoden d.Theor.Physik
Thu25.11.202110:00 - 12:00FH Hörsaal 6 - TPH Methoden d.Theor.Physik
Tue30.11.202110:00 - 12:00FH Hörsaal 6 - TPH Methoden d.Theor.Physik
Thu02.12.202110:00 - 12:00FH Hörsaal 6 - TPH Methoden d.Theor.Physik
Tue07.12.202110:00 - 12:00FH Hörsaal 6 - TPH Methoden d.Theor.Physik
Thu09.12.202110:00 - 12:00FH Hörsaal 6 - TPH Methoden d.Theor.Physik
Tue14.12.202110:00 - 12:00FH Hörsaal 6 - TPH Methoden d.Theor.Physik
Thu16.12.202110:00 - 12:00FH Hörsaal 6 - TPH Methoden d.Theor.Physik

## Examination modalities

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

Fr., den 19.11.2021 von 16:00 - 18:00 (zugleich mit Übungen)

and

Fr., 21.01.2022 from 13:00 - 15:00 (same as Übungen)

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:

Fr.     15:00 - 17:00   11.03.2022      FH Hörsaal 6 - TPH      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
05.10.2021 12:00 09.02.2022 12:00

## Group Registration

GroupRegistration FromTo
Online-Gruppe05.10.2021 09:00
Präsenz gerade Kalenderwochen (Start 12.10.)05.10.2021 09:00
Präsenz ungerade Kalenderwochen (Start 19.10.)05.10.2021 09:00

## Curricula

Study CodeSemesterPrecon.Info
033 261 Technical Physics 3. Semester

German