Module Handbook

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Module MAT-30-10L-M-5

Specialisation Module (Teachers Training Programme Mathematics) (M, 9.0 LP)

Module Identification

Module Number Module Name CP (Effort)
MAT-30-10L-M-5 Specialisation Module (Teachers Training Programme Mathematics) 9.0 CP (270 h)

Basedata

CP, Effort 9.0 CP = 270 h
Position of the semester 2 Sem. from WiSe/SuSe
Level [5] Master (Entry Level)
Language [EN] English
Module Manager
Lossen, Christoph, Dr. habil. (WMA | DEPT: MAT)
Lecturers
The 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

Module Part #A "Lectures" (Obligatory, 6.0 LP)

Lectures to a total of 4V must be chosen from the following lIst:
Type/SWS Course Number Title Choice in
Module-Part 		Presence-Time /
Self-Study 		SL SL is
required for exa. 		PL CP Sem.
4V MAT-40-11-K-4
Commutative Algebra
WP 56 h 124 h - - PL1 6.0 WiSe
4V MAT-40-14-K-4
Cryptography
WP 56 h 124 h - - PL1 6.0 SuSe
4V MAT-70-11-K-4
Functional Analysis
WP 56 h 124 h - - PL1 6.0 SuSe
4V MAT-50-11-K-4
Integer Programming: Polyhedral Theory and Algorithms
WP 56 h 124 h - - PL1 6.0 WiSe
2V MAT-80-12A-K-4
Introduction to Systems and Control Theory
WP 28 h 62 h - - PL1 3.0 SuSe
4V MAT-50-12-K-4
Nonlinear Optimization
WP 56 h 124 h - - PL1 6.0 SuSe
2V MAT-80-11A-K-4
Numerics of ODE
WP 28 h 62 h - - PL1 3.0 WiSe
2V MAT-80-11B-K-4
PDE: An Introduction
WP 28 h 62 h - - PL1 3.0 WiSe
4V MAT-60-11-K-4
Probability Theory
WP 56 h 124 h - - PL1 6.0 WiSe
4V MAT-60-12-K-4
Regression and Time Series Analysis
WP 56 h 124 h - - PL1 6.0 SuSe
  • About [MAT-40-11-K-4]: Title: "Commutative Algebra"; Presence-Time: 56 h; Self-Study: 124 h
  • About [MAT-40-14-K-4]: Title: "Cryptography"; Presence-Time: 56 h; Self-Study: 124 h
  • About [MAT-70-11-K-4]: Title: "Functional Analysis"; Presence-Time: 56 h; Self-Study: 124 h
  • About [MAT-50-11-K-4]: Title: "Integer Programming: Polyhedral Theory and Algorithms"; Presence-Time: 56 h; Self-Study: 124 h
  • About [MAT-80-12A-K-4]: Title: "Introduction to Systems and Control Theory"; Presence-Time: 28 h; Self-Study: 62 h
  • About [MAT-50-12-K-4]: Title: "Nonlinear Optimization"; Presence-Time: 56 h; Self-Study: 124 h
  • About [MAT-80-11A-K-4]: Title: "Numerics of ODE"; Presence-Time: 28 h; Self-Study: 62 h
  • About [MAT-80-11B-K-4]: Title: "PDE: An Introduction"; Presence-Time: 28 h; Self-Study: 62 h
  • About [MAT-60-11-K-4]: Title: "Probability Theory"; Presence-Time: 56 h; Self-Study: 124 h
  • About [MAT-60-12-K-4]: Title: "Regression and Time Series Analysis"; Presence-Time: 56 h; Self-Study: 124 h
In addition to the lectures listed above, other lectures from the list of courses offered for the Master's programme in Mathematics by the Department of Mathematics can also be selected.

Module Part #B "Seminar" (Obligatory, 3.0 LP)

Students are required to attend a specialist seminar of their choice from the range of seminars offered by the Department of Mathematics.
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-SEM-KPOOL-7
Seminars Mathematics (Master)
P WP-1
SEM-Schein
- no [3.0] *
  • About [MAT-SEM-KPOOL-7]: Title: "Seminars Mathematics (Master)";
  • About [MAT-SEM-KPOOL-7]: A course from the course pool must be selected.
  • About [MAT-SEM-KPOOL-7]: The study achievement "[SEM-Schein] proof of successful participation in the seminar" must be obtained.

Examination achievement PL1

  • Form of examination: oral examination (20-30 Min.)
  • Examination Frequency: each semester
  • Examination number: 82601 ("Examination in specialization module")

Evaluation of grades

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


Contents

Choice of specialised courses from the course offerings of the Department of Mathematics for the topic modules A and B.

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 in scientific manner;
  • have experience in presenting and teaching mathematical topics.

Literature

For literature references to the lectures, see the respective course descriptions. Literature references for the seminar will be announced together with the announcement of the seminar.

Registration

Registration for the seminar usually via an online procedure (to be announced in advance).

Requirements for attendance of the module (informal)

Depending on the choice of course, further knowledge may be required in addition to the modules listed below (see the respective course description).

Modules:

Requirements for attendance of the module (formal)

None

References to Module / Module Number [MAT-30-10L-M-5]

Course of Study Section Choice/Obligation
[MAT-64.105-SG] M.Ed. LaG Mathematics [Section (non-specific)] Compulsory Modules [P] Compulsory