# Module MAT-12-10P-M-3

## Build-Up Module Mathematics (for Students of Physics) (M, 5.0 LP)

## Module Identification

Module Number | Module Name | CP (Effort) |
---|---|---|

MAT-12-10P-M-3 | Build-Up Module Mathematics (for Students of Physics) | 5.0 CP (150 h) |

## Basedata

CP, Effort | 5.0 CP = 150 h |
---|---|

Position of the semester | 1 Sem. in WiSe/SuSe |

Level | [3] Bachelor (Core) |

Language | [DE] German |

Module Manager | |

Lecturers | |

Area of study | [MAT-Service] Mathematics for other Departments |

Reference course of study | [PHY-82.128-SG] B.Sc. Physics |

Livecycle-State | [NORM] Active |

## Courses

Exactly one of the following courses must be attended. If a course of more than 5 CP is chosen, only 5 CP can be credited for the module.

Type/SWS | Course Number | Title | Choice in Module-Part | Presence-Time / Self-Study | SL | SL is required for exa. | PL | CP | Sem. | |
---|---|---|---|---|---|---|---|---|---|---|

2V+1U | MAT-12-23-K-3 | Introduction to Functional Analysis
| WP | 42 h | 108 h |
U-Schein
| ja | PL1 | 5.0 | WiSe |

2V+1U | MAT-12-24-K-3 | Introduction to Complex Analysis
| WP | 42 h | 108 h |
U-Schein
| ja | PL1 | 5.0 | WiSe |

2V+1U | MAT-12-25-K-3 | Introduction to Ordinary Differential Equations
| WP | 42 h | 108 h |
U-Schein
| ja | PL1 | 5.0 | SuSe |

2V+1U | MAT-12-28-K-3 | Measure and Integration Theory
| WP | 42 h | 108 h |
U-Schein
| ja | PL1 | 5.0 | SuSe |

2V+1U | MAT-12-27-K-3 | Vector Analysis
| WP | 42 h | 108 h |
U-Schein
| ja | PL1 | 5.0 | SuSe |

4V+2U | MAT-02-12-K-1 | Mathematics for Computer Science Students: Combinatorics, Stochastics, and Statistics
| WP | 84 h | 156 h |
U-Schein
| ja | PL2 | 8.0 | SuSe |

- About [MAT-12-23-K-3]: Title: "Introduction to Functional Analysis"; Presence-Time: 42 h; Self-Study: 108 h
- About [MAT-12-23-K-3]:
The study achievement
**"[U-Schein] proof of successful participation in the exercise classes (ungraded)"**must be obtained.- It is a
__prerequisite for the examination__for PL1.

- It is a
- About [MAT-12-24-K-3]: Title: "Introduction to Complex Analysis"; Presence-Time: 42 h; Self-Study: 108 h
- About [MAT-12-24-K-3]:
The study achievement
**"[U-Schein] proof of successful participation in the exercise classes (ungraded)"**must be obtained.- It is a
__prerequisite for the examination__for PL1.

- It is a
- About [MAT-12-25-K-3]: Title: "Introduction to Ordinary Differential Equations"; Presence-Time: 42 h; Self-Study: 108 h
- About [MAT-12-25-K-3]:
The study achievement
**"[U-Schein] proof of successful participation in the exercise classes (ungraded)"**must be obtained.- It is a
__prerequisite for the examination__for PL1.

- It is a
- About [MAT-12-28-K-3]: Title: "Measure and Integration Theory"; Presence-Time: 42 h; Self-Study: 108 h
- About [MAT-12-28-K-3]:
The study achievement
**"[U-Schein] proof of successful participation in the exercise classes (ungraded)"**must be obtained.- It is a
__prerequisite for the examination__for PL1.

- It is a
- About [MAT-12-27-K-3]: Title: "Vector Analysis"; Presence-Time: 42 h; Self-Study: 108 h
- About [MAT-12-27-K-3]:
The study achievement
**"[U-Schein] proof of successful participation in the exercise classes (ungraded)"**must be obtained.- It is a
__prerequisite for the examination__for PL1.

- It is a
- About [MAT-02-12-K-1]: Title: "Mathematics for Computer Science Students: Combinatorics, Stochastics, and Statistics"; Presence-Time: 84 h; Self-Study: 156 h
- About [MAT-02-12-K-1]:
The study achievement
**"[U-Schein] proof of successful participation in the exercise classes (ungraded)"**must be obtained.- It is a
__prerequisite for the examination__for PL2.

- It is a

## Examination achievement PL1

- Form of examination: oral examination (20-30 Min.)
- Examination Frequency: each semester

## Examination achievement PL2

- Form of examination: written exam (Klausur) (120-150 Min.)
- Examination Frequency: each semester
- Examination number: 80215 ("Mathematics for Computer Science Students: Combinatorics, Stochastics, and Statistics")

## Evaluation of grades

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

## Contents

Introduction to a subject area of mathematics to be chosen from:

vector analysis, differential equations, functional analysis, complex analysis, measure and integration theory or mathematics for computer scientists: combinatorics, stochastics and statistics (see the respective course descriptions).

## Competencies / intended learning achievements

Building on the knowledge acquired in the modules [MAT-10-11P-M-2] "Fundamentals of Mathematics I (for Students of Physics)" and [MAT-10-12P-M-2] "Fundamentals of Mathematics II (for Students of Physics)", the students have acquired basic knowledge in a subject area of mathematics (depending on their choice). The ability to recognise general mathematical structures, to formulate statements about them precisely, to deal creatively with abstract structures and to independently prove or disprove mathematical statements has been promoted.

In the exercises the students have acquired a confident, precise and independent handling of the terms, statements and methods from the lecture. Particular attention was paid to learning a logically correct, complete argumentation.

## Literature

see the respective course description.

## 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)

#### Modules:

- [MAT-10-11P-M-2] Fundamentals of Mathematics I (for Students of Physics) (M, 15.0 LP)
- [MAT-10-12P-M-2] Fundamentals of Mathematics II (for Students of Physics) (M, 13.0 LP)

## Requirements for attendance of the module (formal)

**None**

## References to Module / Module Number [MAT-12-10P-M-3]

Course of Study | Section | Choice/Obligation |
---|---|---|

[PHY-82.128-SG] B.Sc. Physics | [Fundamentals] Mathematikmodule | [WP] Compulsory Elective |