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 | |
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 |
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 (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:
- [MAT-10-11-M-2] Fundamentals of Mathematics A: Linear Algebra I and Analysis I (M, 15.0 LP)
- [MAT-10-12L-M-2] Fundamentals of Mathematics B: Linear Algebra II and Analysis II (M, 9.0 LP)
Requirements for attendance (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 | Compulsory Modules | [P] Compulsory |