Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

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
Lecturers of the department Mathematics
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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.

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).

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

Course of Study Section Choice/Obligation
[PHY-82.128-SG] B.Sc. Physics Mathematikmodule [WP] Compulsory Elective