Module 24-M-M1 Mathematics 1

Faculty

Person responsible for module

Regular cycle (beginning)

Every semester

Credit points and duration

10 Credit points

For information on the duration of the modul, refer to the courses of study in which the module is used.

Competencies

Non-official translation of the module descriptions. Only the German version is legally binding.

Students deepen their fundamental technical knowledge and skills in selected disciplines of mathematics that are relevant to mathematical physics. In addition to a broad overview of mathematical contexts, they have gained in-depth insights into the content and methods of mathematics. They will then be able to specialise further.

Content of teaching

Content from the following subject areas will be studied in depth:

Algebra/representation theory
Differential geometry
Analysis
Probability theory/stochastic analysis
Numerics of dynamical systems

Recommended previous knowledge

—

Necessary requirements

—

Explanation regarding the elements of the module

A specialisation course forms a unit in terms of content and corresponds to a project seminar with 90 hours of contact time (this corresponds to 6 SWS). Together with the self-study component, the specialisation course comprises 7 CP. The variants reflect the possibilities of combining a specialisation course from different courses. One of the 5 variants must be studied.
One of the 5 variants is offered each semester.

Module structure: 1-2 SL, 1 bPr 1

Courses

Mathematics 1 - Variant 1
Type lecture with exercises
Regular cycle WiSe&SoSe
Workload5 210 h (90 + 120)
LP 7 [SL]

Variant 1 consists of a lecture with integrated tutorial (in connection with lecture/seminar)

Mathematics 1 - Variant 2 part 1
Type lecture with exercises
Regular cycle WiSe&SoSe
Workload5 120 h (60 + 60)
LP 4 [SL]

For variant 2, two courses (part 1 and part 2) must be combined.

Mathematics 1 - Variant 2 part 2
Type lecture with exercises
Regular cycle WiSe&SoSe
Workload5 90 h (45 + 45)
LP 3 [SL]

For variant 2, two courses (part 1 and part 2) must be combined.

Mathematics 1 - Variant 3 part 1
Type lecture with exercises
Regular cycle WiSe&SoSe
Workload5 120 h (60 + 60)
LP 4 [SL]

For variant 3, two courses (part 1 and part 2) must be combined.

Mathematics 1 - Variant 3 part 2
Type seminar
Regular cycle WiSe&SoSe
Workload5 90 h (30 + 60)
LP 3 [SL]

For variant 3, two courses (part 1 and part 2) must be combined.

Mathematics 1 - Variant 4 part 1
Type lecture with exercises
Regular cycle WiSe&SoSe
Workload5 90 h (45 + 45)
LP 3 [SL]

For variant 4, two courses (part 1 and part 2) must be combined.

Mathematics 1 - Variant 4 part 2
Type project
Regular cycle WiSe&SoSe
Workload5 120 h (30 + 90)
LP 4 [SL]

For variant 4, two courses (part 1 and part 2) must be combined.

Mathematics 1 - Variant 5 part 1
Type lecture with exercises
Regular cycle WiSe&SoSe
Workload5 120 h (60 + 60)
LP 4 [SL]

For variant 5, two courses (part 1 and part 2) must be combined.

Mathematics 1 - Variant 5 part 2
Type project
Regular cycle WiSe&SoSe
Workload5 90 h (30 + 60)
LP 3 [SL]

For variant 5, two courses (part 1 and part 2) must be combined.


Study requirements

Allocated examiner Workload LP2
Teaching staff of the course Mathematics 1 - Variant 1 (lecture with exercises)

Regular completion of the exercises with recognisable solutions. Collaboration in the exercise groups (twice when asked to do the exercises. The organiser may replace part of the exercises with face-to-face exercises).

 see above see above
Teaching staff of the course Mathematics 1 - Variant 2 part 1 (lecture with exercises)

Regular completion of the exercises with recognisable solutions. Collaboration in the exercise groups (twice when asked to do the exercises. The organiser may replace part of the exercises with face-to-face exercises).

 see above see above
Teaching staff of the course Mathematics 1 - Variant 2 part 2 (lecture with exercises)

Regular completion of the exercises with recognisable solutions. Collaboration in the exercise groups (twice when asked to do the exercises. The organiser may replace part of the exercises with face-to-face exercises).

 see above see above
Teaching staff of the course Mathematics 1 - Variant 3 part 1 (lecture with exercises)

Regular completion of the exercises with recognisable solutions. Collaboration in the exercise groups (twice when asked to do the exercises. The organiser may replace part of the exercises with face-to-face exercises).

 see above see above
Teaching staff of the course Mathematics 1 - Variant 3 part 2 (seminar)

Scientific presentation with written elaboration (5 -10 pages) Contributions to scientific discussions in the seminar, in particular comments and questions on the presentations are considered.

 see above see above
Teaching staff of the course Mathematics 1 - Variant 4 part 1 (lecture with exercises)

Regular completion of the exercises with recognisable solutions. Collaboration in the exercise groups (twice when asked to do the exercises. The organiser may replace part of the exercises with face-to-face exercises).

 see above see above
Teaching staff of the course Mathematics 1 - Variant 4 part 2 (project)

Participation in project development and subsequent presentation (in a presentation or written elaboration)

 see above see above
Teaching staff of the course Mathematics 1 - Variant 5 part 1 (lecture with exercises)

Regular completion of the exercises with recognisable solutions. Collaboration in the exercise groups (twice when asked to do the exercises. The organiser may replace part of the exercises with face-to-face exercises).

 see above see above
Teaching staff of the course Mathematics 1 - Variant 5 part 2 (project)

Participation in project development and subsequent presentation (in a presentation or written elaboration)

 see above see above

Examinations

e-written examination o. written examination o. e-oral examination o. oral examination
Allocated examiner Prüfende*r ist die*der Lehrende*r der Veranstaltung. Die Modulprüfung wird von einer Person abgenommen, es sei denn es wurden zwei Modulelemente gewählt, die von verschiedenen Lehrenden abgehalten wurden. In diesem Fall wird die Modulprüfung von zwei Personen abgenommen.
Weighting 1
Workload 90h
LP2 3

A written examination usually lasts between 90 and 120 minutes. An oral examination usually lasts 20 - 30 minutes. All elements of the module are examined.
A remote electronic written examination is not permitted.

The module is used in these degree programmes:

Degree programme Profile Recom­mended start 3 Duration Manda­tory option 4
Mathematical and Theoretical Physics / Master of Science [FsB vom 26.04.2024 mit Änderungen vom 29.05.2024 und 10.12.2024 und der Berichtigung vom 01.04.2025] Admission Track Profile A 1. o. 2. one semester Obli­gation
Mathematical and Theoretical Physics / Master of Science [FsB vom 26.04.2024 mit Änderungen vom 29.05.2024 und 10.12.2024 und der Berichtigung vom 01.04.2025] Admission Track Profile B 1. o. 2. one semester Obli­gation

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Legend

1
The module structure displays the required number of study requirements and examinations.
2
LP is the short form for credit points.
3
The figures in this column are the specialist semesters in which it is recommended to start the module. Depending on the individual study schedule, entirely different courses of study are possible and advisable.
4
Explanations on mandatory option: "Obligation" means: This module is mandatory for the course of the studies; "Optional obligation" means: This module belongs to a number of modules available for selection under certain circumstances. This is more precisely regulated by the "Subject-related regulations" (see navigation).
5
Workload (contact time + self-study)
SoSe
Summer semester
WiSe
Winter semester
SL
Study requirement
Pr
Examination
bPr
Number of examinations with grades
uPr
Number of examinations without grades
This academic achievement can be reported and recognised.

Sidebar

Elements of the module

Courses

Study requirements

Examinations

Programme of lectures (eKVV)

Programme of lectures (eKVV)

Show lists of modules

Mathematical and Theoretical Physics / Master of Science // Admission Track Profile A

Mathematical and Theoretical Physics / Master of Science // Admission Track Profile B