Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Module MAT-14-10L-M-3

Topic Module B: Mathematics as an Interdisciplinary Cross-Sectional Science (M, 9.0 LP)

Module Identification

Module Number Module Name CP (Effort)
MAT-14-10L-M-3 Topic Module B: Mathematics as an Interdisciplinary Cross-Sectional Science 9.0 CP (270 h)

Basedata

CP, Effort 9.0 CP = 270 h
Position of the semester 1 Sem. in WiSe/SuSe
Level [3] Bachelor (Core)
Language [DE] German
Module Manager
Lecturers
Lecturers of the department Mathematics
Area of study [MAT-EDU] Mathematics (B.Ed./M.Ed.)
Reference course of study [MAT-64.105-SG] M.Ed. LaG Mathematics
Livecycle-State [NORM] Active

Courses

Choice of courses amounting to 4V+2U from the following list:
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.
2V+1U MAT-12-25-K-3
Introduction to Ordinary Differential Equations
WP 42 h 93 h
U-Schein
- PL1 4.5 SuSe
2V+1U MAT-12-27-K-3
Vector Analysis
WP 42 h 93 h
U-Schein
- PL1 4.5 SuSe
4V+2U MAT-14-12-K-3
Introduction to Symbolic Computing
WP 84 h 186 h
U-Schein
- PL1 9.0 SuSe
4V+2U MAT-14-11-K-3
Introduction to Numerical Methods
WP 84 h 186 h
U-Schein
- PL1 9.0 WiSe
4V+2U MAT-14-13-K-3
Linear and Network Programming
WP 84 h 186 h
U-Schein
- PL1 9.0 SuSe
KPOOL MAT-14L-KPOOL-3
Practical Mathematics (B.Ed. Mathematics)
WP WP-1
U-Schein
- PL1 [4.0] *
  • About [MAT-12-25-K-3]: Title: "Introduction to Ordinary Differential Equations"; Presence-Time: 42 h; Self-Study: 93 h
  • About [MAT-12-25-K-3]: The study achievement [U-Schein] proof of successful participation in the exercise classes (ungraded) must be obtained.
  • About [MAT-12-27-K-3]: Title: "Vector Analysis"; Presence-Time: 42 h; Self-Study: 93 h
  • About [MAT-12-27-K-3]: The study achievement [U-Schein] proof of successful participation in the exercise classes (ungraded) must be obtained.
  • About [MAT-14-12-K-3]: Title: "Introduction to Symbolic Computing"; Presence-Time: 84 h; Self-Study: 186 h
  • About [MAT-14-12-K-3]: The study achievement [U-Schein] proof of successful participation in the exercise classes (ungraded) must be obtained.
  • About [MAT-14-11-K-3]: Title: "Introduction to Numerical Methods"; Presence-Time: 84 h; Self-Study: 186 h
  • About [MAT-14-11-K-3]: The study achievement [U-Schein] proof of successful participation in the exercise classes (ungraded) must be obtained.
  • About [MAT-14-13-K-3]: Title: "Linear and Network Programming"; Presence-Time: 84 h; Self-Study: 186 h
  • About [MAT-14-13-K-3]: The study achievement [U-Schein] proof of successful participation in the exercise classes (ungraded) must be obtained.
  • About [MAT-14L-KPOOL-3]: Title: "Practical Mathematics (B.Ed. Mathematics)";
  • About [MAT-14L-KPOOL-3]: When choosing the course pool, a course must be selected from it.
  • About [MAT-14L-KPOOL-3]: The study achievement [U-Schein] proof of successful participation in the exercise classes (ungraded) must be obtained.
Besides the courses in the above list, other lectures with exercises offered by the Department of Mathematics on a subject which is selectable for this module according to the curricular standards maybe selected, too.

The courses [MAT-14-11-K-3], [MAT-14-13-K-3] and the courses from the catalogue [MAT-14L-KPOOL-3] can only be selected if they have not already been included in whole or in part in the module [MAT-14-00L-M-3] in the Bachelor's examination, resp. [MAT-14-00LBBS-M-3] in the Master's examination (BBS).

Examination achievement PL1

  • Form of examination: oral examination (20-30 Min.)
  • Examination Frequency: each semester
  • Examination number: 82201 ("Combined examination subject module B")
    It is generally possible to give the module examination PL1 totally or in parts to different courses than the required study achievements (proofs 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

Choice of one or more topics from the following areas:
  • Computer algebra / computer science,
  • Differential equations,
  • Dynamic systems, approximations and developments, calculus of variations,
  • Financial mathematics,
  • Global analysis and analysis on manifolds, Fourier analysis,
  • Coding theory, information theory and signal processing,
  • Convex and discrete geometry, graph theory,
  • Mathematical foundations of physics,
  • Mathematical optimisation and operations research,
  • Numerical analysis,
  • operator theory, potential theory,
  • Statistics,
  • System and control theory,
  • Probability theory and stochastic processes.

Competencies / intended learning achievements

The students
  • have knowledge of individual areas of mathematics that goes beyond the basics; the topics treated can come close to current research areas;
  • know current fields of application and are able to work independently using scientific methods;
  • have experience in presenting and teaching mathematical topics.

Literature

see the respective course descriptions.

Materials

Exercise material will be provided.

Registration

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

Requirements for attendance (informal)

Depending on the choice, additional (special) content requirements, see the respective course descriptions.

Modules:

Requirements for attendance (formal)

None

References to Module / Module Number [MAT-14-10L-M-3]

Course of Study Section Choice/Obligation
[MAT-64.105-SG] M.Ed. LaG Mathematics Compulsory Modules [P] Compulsory
[MAT-58.105-SG] M.Ed. LaRSP Mathematics Compulsory Elective Modules [WP] Compulsory Elective
[MAT-66.105-SG] M.Ed. LaBBS Mathematics Compulsory Elective Modules [WP] Compulsory Elective