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German original

Foundations of Mathematics
(dt. Grundlagen der Mathematik)

Level, degree of commitment in original study programme Basic module, required module
Forms of teaching and learning,
workload
Lecture (2 SWS), central recitation class (2 SWS),
180 hours (60 h attendance, 120 h private study)
Credit points,
formal requirements
6 CP
Course requirement: Successful completion of at least 50 percent of the points from the weekly exercises.
Examination type: Written examination
Language,
Grading
German,
The grading is done with 0 to 15 points according to the examination regulations for study course B.Sc. Mathematics.
Original study programme B.Sc. Mathematik / Mathematik Basismodule
Duration,
frequency
One semester,
each semester
Person in charge of the module's outline All lecturers of Mathematics

Contents

  • Elementary set theory
  • Natural numbers and integers, mathematical induction, rational numbers
  • Maps, functions, relations
  • Elementary logic and introduction to mathematical proving
  • The fields of real and complex numbers
  • Equivalence transformations of equations and inequations
  • Supremum and infimum

Qualification Goals

The students

  • learn the basics of mathematical thinking and argumentation,
  • acquire basic mathematical knowledge, which lays the ground for the degree program,
  • apply mathematical working to concrete questions, they can distinguish between mathematical intuition and formal precision and use and relate both components to each other.

Prerequisites

None.


Recommended Reading

(not specified)



Please note:

This page describes a module according to the latest valid module guide in Wintersemester 2021/22. Most rules valid for a module are not covered by the examination regulations and can therefore be updated on a semesterly basis. The following versions are available in the online module guide:

  • WiSe 2016/17 (no corresponding element)
  • SoSe 2018 (no corresponding element)
  • WiSe 2018/19 (no corresponding element)
  • WiSe 2019/20
  • WiSe 2020/21
  • SoSe 2021
  • WiSe 2021/22

The module guide contains all modules, independent of the current event offer. Please compare the current course catalogue in Marvin.

The information in this online module guide was created automatically. Legally binding is only the information in the examination regulations (Prüfungsordnung). If you notice any discrepancies or errors, we would be grateful for any advice.