Module Handbook

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Module MAT-30-10B-M-4

Mathematical Specialisation B (M, 9.0 LP)

Module Identification

Module Number Module Name CP (Effort)
MAT-30-10B-M-4 Mathematical Specialisation B 9.0 CP (270 h)

Basedata

CP, Effort 9.0 CP = 270 h
Position of the semester 1 Sem. in WiSe/SuSe
Level [4] Bachelor (Specialization)
Language [EN] English
Module Manager
Lecturers
Area of study [MAT-HPT] Mathematics (B.Sc. 3rd year - general)
Reference course of study [MAT-82.105-SG] B.Sc. Mathematics
Livecycle-State [NORM] Active

Courses

A (further) course from the catalogue for the chosen specialisation has to be selected:
Type/SWS Course Number Title Choice in
Module-Part
Choice in
Course-Pool
Presence-Time /
Self-Study
SL SL is
required for exa.
PL CP Sem.
KPOOL MAT-40-KPOOL-4
Specialisation Algebra, Geometry and Computer Algebra (B.Sc.)
WP WP-1
U-Schein
- PL1 [9.0] *
KPOOL MAT-70-KPOOL-4
Specialisation Analysis and Stochastics (B.Sc.)
WP WP-1
U-Schein
- PL1 [9.0] *
KPOOL MAT-50-KPOOL-4
Specialisation Optimisation and Stochastics (B.Sc.)
WP WP-1
U-Schein
- PL1 [9.0] *
KPOOL MAT-80-KPOOL-4
Specialisation Modelling and Scientific Computing (B.Sc.)
WP WP-1
U-Schein
- PL1 [9.0] *
  • About [MAT-40-KPOOL-4]: Title: "Specialisation Algebra, Geometry and Computer Algebra (B.Sc.)";
  • About [MAT-40-KPOOL-4]: When choosing the course pool, a course must be selected from it.
  • About [MAT-40-KPOOL-4]: The study achievement "[U-Schein] proof of successful participation in the exercise classes (ungraded)" must be obtained.
  • About [MAT-70-KPOOL-4]: Title: "Specialisation Analysis and Stochastics (B.Sc.)";
  • About [MAT-70-KPOOL-4]: When choosing the course pool, a course must be selected from it.
  • About [MAT-70-KPOOL-4]: The study achievement "[U-Schein] proof of successful participation in the exercise classes (ungraded)" must be obtained.
  • About [MAT-50-KPOOL-4]: Title: "Specialisation Optimisation and Stochastics (B.Sc.)";
  • About [MAT-50-KPOOL-4]: When choosing the course pool, a course must be selected from it.
  • About [MAT-50-KPOOL-4]: The study achievement "[U-Schein] proof of successful participation in the exercise classes (ungraded)" must be obtained.
  • About [MAT-80-KPOOL-4]: Title: "Specialisation Modelling and Scientific Computing (B.Sc.)";
  • About [MAT-80-KPOOL-4]: When choosing the course pool, a course must be selected from it.
  • About [MAT-80-KPOOL-4]: The study achievement "[U-Schein] proof of successful participation in the exercise classes (ungraded)" must be obtained.
Besides the courses listed in the respective catalogue, other (advanced) courses with a total of 4V+2U from the chosen mathematical field of specialisation can also be selected.

Examination achievement PL1

  • Form of examination: oral examination (20-30 Min.)
  • Examination Frequency: each semester
  • Examination number: 82091 ("Module Exam Specialization B")
    It is generally possible to give the module examination PL1 to a different course than the required study achievements (proof(s) of successful participation in the exercise classes). This requires that none of the courses involved has already been included in another module.

Evaluation of grades

The grade of the module examination is also the module grade.


Contents

See the respective course descriptions.

Competencies / intended learning achievements

Upon successful completion of this module, the students have acquired in-depth knowledge in a (further) area of mathematics. They have learnt to perform independently scientific work and have gained further experience in the presentation and communication of mathematical topics. They are able to name and prove the essential propositions of the lectures and to classify and explain the connections presented.

By completing the given exercises, the students have developed a skilled, precise and independent handling of the terms, propositions and methods taught in the lecture. They have learnt how to apply the methods to new problems, analyze them and develop solution strategies independently or by team work.

Literature

See the respective course descriptions.

Registration

Registration for the exercise classes via the online administration system URM (https://urm.mathematik.uni-kl.de).

Requirements for attendance of the module (informal)

Further requirements depending on the choice of course (see the respective course description).

Modules:

Requirements for attendance of the module (formal)

Proof of successful participation in the exercise classes of "Fundamentals of Mathematics I" or "Fundamentals of Mathematics II" (e.g. from the module [MAT-10-1-M-2] "Fundamentals of Mathematics") is prerequisite for participation in the module examination.

References to Module / Module Number [MAT-30-10B-M-4]

Course of Study Section Choice/Obligation
[MAT-82.105-SG] B.Sc. Mathematics [Specialisation] Mathematical Specialisation [P] Compulsory