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Foundations of Mathematics
(dt. Grundlagen der Mathematik)

Level, degree of commitment 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(s): 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 the degree program B.Sc. Mathematics.
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

Students

  • Have learned the basics of mathematical thinking and reasoning,
  • have acquired basic mathematical knowledge, which is the basis for the entire course of study,
  • use mathematical working methods on concrete problems, they can distinguish between mathematical intuition and formal precision and use and relate both components to each other.

Prerequisites

None.


Applicability

Module imported from B.Sc. Mathematics.

It can be attended at FB12 in study program(s)

  • B.Sc. Data Science
  • B.Sc. Mathematics
  • B.Sc. Business Mathematics
  • BA Minor Mathematics

When studying BA Minor Mathematics, this module must be completed in the study area Compulsory Modules.

The module is assigned to variant A of the BSc minor program in Mathematics.


Recommended Reading

(not specified)



Please note:

This page describes a module according to the latest valid module guide in Winter semester 2023/24. 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:

  • Winter 2016/17 (no corresponding element)
  • Summer 2018 (no corresponding element)
  • Winter 2018/19 (no corresponding element)
  • Winter 2019/20 (no corresponding element)
  • Winter 2020/21 (no corresponding element)
  • Summer 2021 (no corresponding element)
  • Winter 2021/22 (no corresponding element)
  • Winter 2022/23
  • Winter 2023/24

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.